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Proof for the 2012-2013 Duke University Bulletin of Undergraduate Instruction, p. 1 RETURN PROOF BY MARCH 6, 2012 TO INGEBORG WALTHER: [email protected] ________________________________________________________________________________ This is a proof for the 2012-2013 Bulletin of Undergraduate Instruction. This file should be in track-change mode (if it isn’t, please type [Ctrl]+[Shift]+e). Please do not change the title of this file, or turn off the track-change setting. The only changes permissible on this proof are to: Change faculty listings (in both the beginning of this proof, and in course listings) Indicating courses that have been processed by the University Registrar's office that are missing from the proof Correct misspellings Indicating curriculum changes that have been officially approved by the Arts and Sciences Curriculum Committee through Dean Walther's office that are missing from the proof; Also, PLEASE IGNORE WHAT MAY LOOK LIKE INCORRECT OR AWKWARD FORMATTING (e.g., font sizes and styles, indents, spacing between paragraphs or words). Formatting irregularities are a function of the translation of the document from publishing software into Word format. All formatting will be finalized and proofed before publication. This proof is supplied to revise only content, not formatting or layout. For questions, contact [email protected] . Pratt School of Engineering Professor Katsouleas, Dean; Senior Associate Dean for Education Glass; Associate Deans Absher, Franzoni, and Simmons • For courses in Engineering (Interdepartmental), see En. • For courses in Biomedical Engineering, see Bi. • For courses in Civil and Environmental Engineering, see Civ. • For courses in Electrical and Computer Engineering, see Ele. • For courses in Mechanical Engineering and Materials Science, see Me. Engineering (Interdepartmental) (EGR) 10. Introduction to Engineering. This course is designed to introduce students to the study and practice of engineering. Presentations will be made by representatives of all four engineering departments as well as outside practitioners, researchers, and industrial leaders. Selected group design and/or laboratory modules will be required of all participants. Satisfactory/Unsatisfactory grading only. Staff: Instructor. Half course. 20L. Engineering Innovation. Introduces freshmen to the process of team-based creative conceptualization, visualization prototyping, and product realization. Students use computer-aided design tools to create custom circuit boards and computer numerically controlled (CNC) machined components to produce prototype systems. Design concepts are introduced and supported through hands-on assignments. Instructor: Twiss and Simmons. One course. 25L. Introduction to Structural Engineering. An introduction to engineering and the engineering method through a wide variety of historical and modern

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Proof for the 2012-2013 Duke University Bulletin of Undergraduate Instruction, p. 1RETURN PROOF BY MARCH 6, 2012 TO INGEBORG WALTHER: [email protected]

________________________________________________________________________________

This is a proof for the 2012-2013 Bulletin of Undergraduate Instruction. This file should be in track-change mode (if it isn’t, please type [Ctrl]+[Shift]+e). Please do not change the title of this file, or turn off the track-change setting. The only changes permissible on this proof are to:

Change faculty listings (in both the beginning of this proof, and in course listings) Indicating courses that have been processed by the University Registrar's office that are missing from the proof Correct misspellings Indicating curriculum changes that have been officially approved by the Arts and Sciences Curriculum Committee

through Dean Walther's office that are missing from the proof;

Also, PLEASE IGNORE WHAT MAY LOOK LIKE INCORRECT OR AWKWARD FORMATTING (e.g., font sizes and styles, indents, spacing between paragraphs or words). Formatting irregularities are a function of the translation of the document from publishing software into Word format. All formatting will be finalized and proofed before publication. This proof is supplied to revise only content, not formatting or layout. For questions, contact [email protected].

Pratt School of EngineeringProfessor Katsouleas, Dean; Senior Associate Dean for Education Glass; Associate Deans Absher, Franzoni, and Simmons

• For courses in Engineering (Interdepartmental), see En.• For courses in Biomedical Engineering, see Bi.• For courses in Civil and Environmental Engineering, see Civ.• For courses in Electrical and Computer Engineering, see Ele.• For courses in Mechanical Engineering and Materials Science, see Me.

Engineering (Interdepartmental) (EGR)10. Introduction to Engineering. This course is designed to introduce students to the study and practice of engineering. Presentations will be made by representatives of all four engineering departments as well as outside practitioners, researchers, and industrial leaders. Selected group design and/or laboratory modules will be required of all participants. Satisfactory/Unsatisfactory grading only. Staff: Instructor. Half course.20L. Engineering Innovation. Introduces freshmen to the process of team-based creative conceptualization, visualization prototyping, and product realization. Students use computer-aided design tools to create custom circuit boards and computer numerically controlled (CNC) machined components to produce prototype systems. Design concepts are introduced and supported through hands-on assignments. Instructor: Twiss and Simmons. One course.25L. Introduction to Structural Engineering. An introduction to engineering and the engineering method through a wide variety of historical and modern case studies, ranging from unique structures like bridges to mass produced objects like pencils. Instructor: Petroski. One course.31FCS. Engineering The Planet. This seminar examines the environmental impacts of large infrastructure from dam construction, to large-scale farming and irrigation, clear-cutting of natural forests, and extensive urbanization of land-margin ecosystems. Focus on the social and engineering make-up of global environmental change and water resources. Introduction to the science and technology of environmental adaptation and sustainability. Students will organize in small research groups working on trans-disciplinary case-studies. Instructor: Barros. One course.32FCS. Mapping Engineering into Biology. NS, R, STS Students will be introduced to the new and exciting ways in which we can start to bring engineering and biology together. The course asks fundamental questions such as "How did Nature solve problem X?" and "What are the problems that Nature has?" and explore how to forward engineer new products and processes inspired by Nature's own solutions. The seminar will give students a foundation to achieve technological innovation through effective channeling of creativity and scientific principles. The class divides in teams and ranges of expertise and interest in biology, chemistry, physics, mathematics, and engineering are encouraged to join in. Instructor consent required. Instructors: Needham and Bonaventura. One course.49S. First-Year Seminar. Topics vary each semester offered. Instructor: Staff. One course.53L. Computational Methods in Engineering. QS Introduction to computer methods and algorithms for analysis and solution of engineering problems using numerical methods in a workstation environment. Topics include; numerical integration, roots of equations, simultaneous equation solving, finite difference methods, matrix analysis,

Proof for the 2012-2013 Duke University Bulletin of Undergraduate Instruction, p. 2RETURN PROOF BY MARCH 6, 2012 TO INGEBORG WALTHER: [email protected]

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linear programming, dynamic programming, and heuristic solutions used in engineering practice. This course does not require any prior knowledge of computer programming. Instructor: Gustafson. One course.54L. Simulations in JAVA. Development of interactive computer simulations in JAVA using Reality.java, a library that includes graphical objects such as spaceships, planets, and standardized functions for Newtonian mechanics. Introduction to object-oriented programming, linked and inherited structures, and aspects of computational mathematics such as stability and computational error, orbital mechanics, collision detection, strategy, etc. Prerequisite: Engineering 53L or Computer Science 6 or Computer Science 100E. Instructor: Staff. One course.60. Science and Policy of Natural Catastrophes. NS, SS, STS In this interdisciplinary course students will conduct a life cycle analysis of a natural disaster. Invited experts will discuss meteorologic, hydrologic and geologic factors that cause disasters; explore how societies plan for and/or respond to the immediate and long-term physical, social, emotional and spiritual issues associated with survival; and present case studies of response, recovery and reconstruction efforts. Students will attend the lecture component of the course and complete on-line quizzes to demonstrate understanding of the material presented. Additionally, they will prepare on individual paper (~ 10 pages) on a relevant topic and one group paper, the results of which will be presented to the class. Instructor: Schaad. One course. C-L: Public Policy Studies 107, Environment 16161. Natural Catastrophes: Rebuilding from Ruins. NS, SS, STS Research Service Learning Gateway course where students will conduct a life cycle analysis of natural disasters. Invited experts will discuss meteorologic, hydrologic and geologic factors that cause disasters; explore how societies plan and/or respond to the immediate and long-term physical, social, emotional and spiritual issues associated with survival; and present case studies of response, recovery and reconstruction efforts. Students will attend the lecture component of the course and complete on-line quizzes to demonstrate understanding of the material presented. For the service learning experience, students will carry out response activities over Spring Break in an area ravaged by a natural disaster. They will keep a journal (audio and written) of their activities, write a brief synopsis (4-5 pages), and make a group oral presentation of their findings following their return. They will also submit a hypothetical research proposal for a project which might stem from the course and their experiences. Instructor: Schaad. One course. C-L: Public Policy Studies 109, Environment 16275L. Mechanics of Solids. Analysis of force systems and their equilibria as applied to engineering systems. Stresses and strains in deformable bodies; mechanical behavior of materials; applications of principles to static problems of beams, torsion members, and columns. Selected laboratory work. Prerequisites: Mathematics 32 and Physics 61L. Instructor: Albertson, Barros, Boadu, Dolbow, Gavin, Hueckel, Nadeau, or Virgin. One course.75LA. Mechanics of Solids (1/2). Summer Session I ONLY. First half of a single course in solid mechanics that spans both summer sessions. Students must enroll in both EGR 75LA and EGR 75LB. (See course description for EGR 75L). Prerequisites: Mathematics 32 and Physics 61L. Instructor: Staff. Half course.75LB. Mechanics of Solids (2/2). Summer Session II ONLY. Secon half of a single course in solid mechanics that spans both summer sessions. Students must enroll in both EGR 75LA and EGR 75LB. (See course description for EGR 75L). Prerequisites: EGR 75LA, Mathematics 32, and Physics 61L. Instructor: Staff. Half course.95FCS. First Year seminar for Focus students only. NS, SS, STS Topics vary each semester offered. Focus students only. Instructor: staff. One course.107. Mapping Engineering onto Biology. Introduction to concepts and implementation of Mapping Engineering onto Biology. Explores both a new learning paradigm as well as methodologies for reverse engineering biological systems. Uses a Bow-Tie Hierarchy of scale applying traditional design methodology in order to reverse engineer healthy functioning systems that represent Problems Nature Solved (Engineering Biology) and Problems Nature Has (i.e. we have in disease) (Engineering Pathology). Third (inventive) phase is to forward engineer new approaches to medicine or new technologies. Students in design teams of four, carry out course assignment that asks a different and interesting to the student, problem nature solved? Out-of-class open counseling with instructors and expert faculty across campus. Instructor: Needham. One course.108S. Ethics in Professions: Scientific, Personal and Organizational Frameworks. EI, STS Ethics studied through the analysis and interpretation of case studies from the scientific and engineering professions. Topics include: moral development; concepts of truth and fairness; responsible conduct of research; the person and virtues; confidentiality; risk and safety; social responsibility; etiology and consequences of fraud and malpractice; legal aspects of professionalism, and allocation of resources. The capstone course for students completing the certificate in the Program in Science, Technology, and Human Values. Instructor: Vallero. One course. C-L: Ethics, Global Health, Markets and Management Studies, Marine Science and Conservation

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115. Engineering Systems Optimization and Economics. SS Introduction to mathematical optimization, engineering economic analysis, and other decision analysis tools used to evaluate and design engineering systems. Application of linear and nonlinear programming, dynamic programming, expert systems, simulation and heuristic methods to engineering systems design problems. Applications discussed include: production plant scheduling, water resources planning, design and analysis, vehicle routing, resource allocation, repair and rehabilitation scheduling and economic analysis of engineering design alternatives. Corequisite: Mathematics 107. Instructor: Peirce. One course. C-L: Economics 112119L. Electrical Fundamentals of Mechatronics. Introduction to mechatronics with a special emphasis on electrical components, sensing, and information processing. Topics include circuit analysis and design, system response characterization, conversion between digital and analog signals, data acquisition, sensors, and motors. Laboratory projects focus on analysis, characterization, and design of electrical and mechatronic systems. Prerequisites: EGR 53L, EGR 75L, MATH 103, and PHYSICS 62L, or equivalents, or permission of instructor: Instructor: Gustafson. One course.123L. Dynamics. Principles of dynamics of particles, rigid bodies, and selected nonrigid systems with emphasis on engineering applications. Kinematic and kinetic analysis of structural and machine elements in a plane and in space using graphical, computer, and analytical vector techniques. Absolute and relative motion analysis. Work-energy; impact and impulse-momentum. Laboratory experiments. Prerequisites: Engineering 75L and Mathematics 103 or consent of instructor. Instructor: Dowell, Hall, Mann, or Virgin. One course.150. Engineering Communication. Principles of written and verbal technical communication; graphs, tables, charts and figures. Multimedia content generation and presentation. Individual and group written and verbal presentations. Prerequisite: Engineering 53L and Writing 20 or equivalent. Instructor: Kabala or Peirce. Half course.153. Numerical Computing for Engineers. Numerical computing with applications for engineering in a C/C++ language environment. Computer programs will be developed to implement numerical algorithms and solve engineering problems. Course topics include: solution of simultaneous sets of equations, eigenvalues, singular value decomposition, root-finding in non-linear equations, solution of ordinary differential equations, optimization, and spectral analysis. Prerequisites: Math 107 and either Engineering 53, Computer Science 6, Computer Science 100 or equivalent. Instructor: Staff. One course165. Special Topics in Engineering. Study arranged on special engineering topics in which the faculty have particular interest and competence as a result of research or professional activities. Consent of instructor(s) required. Quarter course, half course, or one course. Instructor: Staff. Variable credit.171. Total Quality Systems. An interdisciplinary approach to principles and practice in the applications of total quality concepts to engineering operations and business managements; practice in using tools of statistical process control; practice in using quality tools of management and operations; principles of continuous quality improvement; definitions and applications of Total Quality Management (TQM); case studies; personal effectiveness habits and social styles; assignments and projects in team building using tools learned, communication; group problem solving; practice in professional verbal and written technical communications. Prerequisite: junior or senior standing. Instructor: Staff. One course.175. Aesthetics, Design, and Culture. An examination of the role of aesthetics, both as a goal and as a tool, in a culture which is increasingly dependent on technology. Visual thinking, perceptual awareness, experiential learning, conceptual modeling, and design will be explored in terms of changes in sensory environment. Design problems will be formulated and analyzed through individual and group design projects. Instructor: Staff. One course. C-L: Visual and Media Studies 114A176S. Global Climate Change. One course.183. Projects in Engineering. Courses in which engineering projects of an interdisciplinary nature are undertaken. The projects must have engineering relevance in the sense of undertaking to meet human need through a disciplined approach under the guidance of a member of the engineering faculty. Consent of instructor required. Instructor: Staff. One course.184. Projects in Engineering. Courses in which engineering projects of an interdisciplinary nature are undertaken. The projects must have engineering relevance in the sense of undertaking to meet human need through a disciplined approach under the guidance of a member of the engineering faculty. Consent of instructor required. Instructor: Staff. One course.185. Smart Home Technology Development. Engineering projects related to the Duke Smart Home Program are undertaken. Projects should be interdisciplinary in nature and have engineering relevance in the sense of undertaking

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to meet human need through a disciplined approach under the guidance or a member of the engineering faculty. Consent of instructor is required. Instructor: staff. 1/2 credit pass/fail course. Half course.190L. Energy and Environment Design. An integrative design course addressing both creative and practical aspects of the design of systems related to energy and the environment. Development of the creative design process, including problem formulation and needs analysis, feasibility, legal, economic and human factors, environmental impacts, energy efficiency, aesthetics, safety, and design optimization. Application of design methods through a collaborative design project involving students from the Pratt School of Engineering and Trinity College. Open only to students pursuing the undergraduate certificate in Energy and Environment. Prerequisites: CE 24L, ENV 130 and ME 121. One course. One course.

Biomedical Engineering (BME)Professor Truskey, Chair; Professor Neu, Director of Undergraduate Studies; Assistant Professor of the Practice Gimm, Associate Director of Undergraduate Studies; Professors R. Anderson, Barr, Chilkoti, Collins, Dewhirst, Erickson, Gauthier, Glower, Grill, Guilak, Henriquez, Izatt, Jaszczak, Johnson, Katz, Laursen, Leong, Lopez, Massoud, Myers, Needham, Neu, Nicolelis, Nolte, Reichert, Samei, Setton, Simon, Smith, Song, Toth, Trahey, Vo-Dinh, von Ramm, Warren, Yuan, and Zalutsky; Associate Professors Dobbins, Lobach, MacFall, Ramanujam, Sommer, Tornai, and Wolf; Assistant Professors Bursac, Gersbach, Idriss, K. Nightingale, Mukundan, Tian, Wax, Wong, and You; Professors Emeriti Burdick, Clark, Friedman, Hammond, Hochmuth, McElhaney, and Plonsey; Associate Research Professors Bass, R. Nightingale, and Turkington; Assistant Research Professors Bohs, Chen, Dahl, Henderson, Klitzman, Liu, Lo, and Palmeri; Professor of the Practice Malkin; Adjunct Professors Goldberg and Grinstaff

A major is available in this department. The biomedical engineering program is accredited by the Engineering Accreditation Commission of the Accreditation Board for Engineering and Technology.1

Biomedical engineering is the discipline in which the physical, mathematical, and engineering sciences and associated technology are applied to biology and medicine. Contributions range from computer modeling and simulation of physiological systems through development of medical instrumentation and experimental research to solutions of practical clinical problems. The goal of the Biomedical Engineering Program at Duke University is to prepare students for a) professional employment in areas such as the medical device industry, engineering consulting, and biotechnology, b) graduate work in biomedical engineering, or c) entrance into medical school. The program is flexible to match the student’s interests. Options exist for dual majors and to provide specific knowledge in biomedical imaging and measurement systems, biomaterials and biomechanics, bioelectricity, and molecular, cellular and tissue engineering. Design experience is developed and integrated throughout the curriculum and includes capstone design courses. Many students gain valuable design experience in the course of independent student projects within the research laboratories and programs of the BME department.

The undergraduate curriculum specifies that a student select one of four Areas of Interest in which to obtain depth in their education. The Areas of Interest are matched to the laboratories and expertise of the faculty in the Department; they are: Bioelectricity, Biomaterials and Biomechanics, Molecular Cellular and Tissue Engineering, and Imaging and Measurement Systems.

Biomedical engineering in bioelectricity involves the use of large-scale computer modeling, scientific visualization, and experimental data acquisition and analysis of electrical activity in the brain and heart tissue to increase basic understanding of normal and abnormal behavior. Other projects involve the study of the effects of externally applied electric fields and radio frequency energy on activity in excitable tissue.

The ultrasound imaging and transducer laboratories are directed toward new signal and image processing techniques, new system architecture and transducer designs to develop novel imaging methods and improve image quality and spatial resolution. The laboratories are equipped with a variety of state-of-the-art ultrasound imaging instruments, electronics and transducer fabrication tools, acoustic and transducer modeling software as well as video and display hardware.

The biophotonics group develops novel photonics technologies for biological and medical applications. Research areas include optical imaging techniques, advanced spectroscopy methods, plasmonics applications, and new microscopy modalities. Applications span from cell and developmental biology to clinical diagnostics and imaging methods.

1Engineering and Technology Accreditation Commission of the Accreditation Board for Engineering and Technology (ABET) 111 Market Place, Suite 1050, Baltimore, MD 21202, telephone (410) 347-7700

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The biomechanics laboratories use advanced experimental test facilities, data acquisition technologies, computer simulations and theoretical modeling in the study of cells, tissues, and biological structures. The mechanisms of injury, aging, degeneration, and mechanical signal transduction are studied in a variety of biological systems, including biological fluids, the cervical and lumbar spines, diarthrodial joints, and the heart.

Molecular, cellular and tissue engineering is concerned with the regulation of the external and internal cellular environment of the cell for control of biosynthesis and degradation activities, as well as determination of the factors responsible for differentiation of cells into tissues with varying functional requirements. The groups in this program investigate biomaterials, material property characterizations, surface modifications, cell cultures, and the mechanics of biofluids, tissues, and cells. Applications include the development of novel biosensors and drug delivery systems, new techniques for enhanced biological transport, and improved techniques for stimulated repair or inhibited degradation of biological tissues.

Instruction in all these areas is offered at the undergraduate as well as graduate and postdoctoral levels, and opportunities for undergraduate student research are available in most of the biomedical engineering laboratories. The courses offered by the Department of Biomedical Engineering are listed below. Some biomedical engineering courses require students to have a suitable laptop computer with wireless capabilities.Course Designators:(C) Satisfies an Area Core Class(D) Satisfies the Design requirement(G) Satisfies a General BME Elective(BB) Satisfies a Biomechanics and Biomaterials Area Elective(MC) Satisfies a Molecular, Cellular and Tissue Engineering Area Elective(EL) Satisfies a Bioelectricity Area Elective(IM) Satisfies an Imaging and Measurement Systems Area Elective98. Biomedical Device Design (GE). An introduction to the origin and characteristics of biologic signals and the features of biomedical systems and devices, from sensor to display/output. Concepts of analog vs. discrete signals, simple detection schemes, sampling, data reduction, filtering, visualization, and imaging techniques are presented. The course emphasizes team project and system design. Prerequisite: Engineering 110L or equivalent; limited to freshmen. Instructor: Henriquez or K. Nightingale. One course. 244L. Quantitative Physiology. An examination of the importance of transport processes, mechanics, energetics, and electrical activity in physiological systems. Topics will cover cellular physiology, the cardiovascular system, nervous system, muscle physiology, and renal physiology. Selected labs to complement lectures and class discussion. Prerequisite: BIO 101L, Corequisite: Math 103. Instructor: Truskey. One course. 253L. Biomedical Electronic Measurements I. Basic principles of electronic instrumentation with biomedical examples. Concepts of analog signal processing, filters, input and output impedances are emphasized. Students are exposed to system design concepts such as amplifier design and various transducers. Laboratories reinforce basic concepts and offer the student design opportunities in groups. Prerequisite: Physics 152L; or consent of instructor. Instructor: Grill, Izatt, Malkin, K. Nightingale, or von Ramm. One course. 255. Safety of Medical Devices (GE, IM). Engineering analysis of the safety of medical devices such as prosthetic heart valves, silicon breast implants, medical imaging, and cardiac pacemakers. Engineering performance standards and US FDA requirements for clinical trials for selected medical devices such as medical diagnostic ultrasound, surgical lasers, and prosthetic heart valves. Students will prepare a mock application for FDA premarket approval to demonstrate safety of a selected medical device. Prerequisite: sophomore standing; corequisite: Physics 152L or equivalent. Instructor: S. Smith. One course. 260L. Modeling Cellular and Molecular Systems. An introduction to the application of engineering models to study cellular and molecular processes and develop biotechnological applications. Topics covered include chemical equilibrium and kinetics, solution of differential equations, enzyme kinetics, DNA denaturation and rebinding, the polymerase chain reaction (PCR), repressor binding, gene expression, receptor-mediated endocytosis, and gene delivery to tissues and cells. Selected laboratory experiments apply concepts learned in class. Prerequisites: Mathematics 212 and Biology 25L or equivalent; or consent of the instructor. Instructor: Gimm, Tian, Truskey, You, or Yuan. One course. 271. Signals and Systems. Convolution, deconvolution, Fourier series, Fourier transform, sampling, and the Laplace transform. Continuous and discrete formulations with emphasis on computational and simulation aspects

Proof for the 2012-2013 Duke University Bulletin of Undergraduate Instruction, p. 6RETURN PROOF BY MARCH 6, 2012 TO INGEBORG WALTHER: [email protected]

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and selected biomedical examples. Prerequisites: Biomedical Engineering 253L or Electrical and Computer Engineering 230L and Mathematics 216; or consent of the instructor. Instructor: Barr, Izatt, or Neu. One course. 290. Intermediate Topics (GE). Intermediate subjects or selective topics related to programs within biomedical engineering. Consent of instructor required. Instructor: Staff. One course. 301L. Electrophysiology (AC or GE). The electrophysiology of excitable cells from a quantitative perspective. Topics include the ionic basis of action potentials, the Hodgkin-Huxley model, impulse propagation, source-field relationships, and an introduction to functional electrical stimulation. Students choose a relevant topic area for detailed study and report. Not open to students who have taken Biomedical Engineering 101L or equivalent. Instructor: Barr, Bursac, Grill, Henriquez, or Neu. One course. C-L: Neuroscience 301L 302L. Fundamentals of Biomaterials and Biomechanics (AC or GE). This course will cover principles of physiology, materials science and mechanics with particular attention to topics most relevant to biomedical engineering. Areas of focus include the structure-functional relationships of biocomposites including biological tissues and biopolymers; extensive treatment of the properties unique to biomaterials surfaces; behavior of materials in the physiological environment, and biomechanical failure criterion. The course includes selected experimental measurements in biomechanical and biomaterial systems. Prerequisites: Mathematics 353; Engineering 201L or Biomedical Engineering 110L; Mechanical Engineering 221L or Biomedical Engineering 83L. Instructor: Staff. One course. 303. Modern Diagnostic Imaging Systems (AC or GE). The underlying concepts and instrumentation of several modern medical imaging modalities. Review of applicable linear systems theory and relevant principles of physics. Modalities studied include X-ray radiography (conventional film-screen imaging and modern electronic imaging), computerized tomography (including the theory of reconstruction), and nuclear magnetic resonance imaging. Prerequisite: Biomedical Engineering 271, junior or senior standing. Consent of instructor required. Instructor: Smith or Trahey. One course. C-L: Modeling Biological Systems 307. Transport Phenomena in Biological Systems (AC or GE, BB). An introduction to the modeling of complex biological systems using principles of transport phenomena and biochemical kinetics. Topics include the conservation of mass and momentum using differential and integral balances; rheology of Newtonian and non-Newtonian fluids; steady and transient diffusion in reacting systems; dimensional analysis; homogeneous versus heterogeneous reaction systems. Biomedical and biotechnological applications are discussed. Prerequisites: Biomedical Engineering 260L and Mathematics 353; or consent of the instructor. Instructor: Friedman, Katz, Truskey, or Yuan. One course. C-L: Civil and Environmental Engineering 307, Mechanical Engineering and Materials Science 307, Modeling Biological Systems 354L. Biomedical Electronic Measurements II. Further study of the basic principles of biomedical electronics with emphasis on transducers, instruments, micro-controller and PC based systems for data acquisition and processing. Laboratories focus on measurements and circuit design emphasizing design criteria appropriate for biomedical instrumentation. Prerequisite: Electrical and Computer Engineering 230L or Biomedical Engineering 253L and Biomedical Engineering 271 or Electrical and Computer Engineering 280L; or the consent of the instructor. Instructor: Malkin, Trahey, Wax, or Wolf. One course. 385. Introduction to Business in Technology-Based Companies. R, SS, STS This course covers fundamental business concepts and how they affect technology and engineering functions in a company. Students will learn to look at business problems from multiple dimensions, integrating technical issues with marketing, finance, management and intellectual property. Teams consisting of students from the Pratt School of Engineering and Trinity College of Arts and Sciences (Markets and Management Studies program) will work together to develop and present a business plan for a technical product concept. Students will learn the elements of a business plan and how to pitch a technology-based product concept. Topics covered include marketing of technical products, competitive strategy, market research, financial statements and projections, capital budgeting, venture capital, intellectual property, patent searching, regulatory affairs, and reimbursement. Requirements: Junior or Senior standing and permission of instructor. One course. Instructor: Boyd. One course. 394. Projects in Biomedical Engineering (GE). For juniors and seniors who express a desire for such work and who have shown aptitude for research in one area of biomedical engineering. Reserved for Engineering Undergraduate Fellows. Consent of program director required. Instructor: Staff. One course. 427L. Design in Biotechnology (DR or GE, MC, BB). Design of custom strategies to address real-life issues in the development of biocompatible and biomimetic devices for biotechnology or biomedical applications. Student teams will work with a client in the development of projects that incorporate materials science, biological transport and biomechanics. Formal engineering design principles will be emphasized; overview of intellectual properties,

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engineering ethics, risk analysis, safety in design and FDA regulations will be reviewed. Oral and written reports, and prototype development will be required. This course is intended as a capstone design course for the upper-level undergraduate biomedical engineering students with a focused interest in bimolecular science, biotechnology, transport, drug delivery, biomechanics and related disciplines. Prerequisites: Biomedical Engineering 307, Statistical Science 130, or equivalent. Instructors: Gimm. One course. 436L. Biophotonic Instrumentation (DR or GE, IM). Theory and laboratory practice in optics, and in the design of optical instruments for biomedical applications. Section I focuses on basic optics theory and laboratory practice. Section II focuses on deeper understanding of selected biophotonic instruments, including laboratory work. Section III comprises the design component of the course. In this part, student teams are presented with a design challenge, and work through the steps of engineering design culminating in building a prototype solution to the design challenge. Lecture topics include engineering design, intellectual property protection, engineering ethics, and safety. Prerequisites: Biomedical Engineering 354L and Statistical Science 130. Instructor: Izatt or Wax. One course. 460L. Devices for People with Disabilities (DR or GE, IM, BB). Design of custom devices to aid disabled individuals. Students will be paired with health care professionals at local hospitals who will supervise the development of projects for specific clients. Formal engineering design principles will be emphasized; overview of assistive technologies, patent issues, engineering ethics. Oral and written reports will be required. Selected projects may be continued as independent study. Prerequisite: Biomedical Engineering 354L and Statistical Science 130. Instructor: Bohs or Goldberg. One course. 461L. Electronic Designs for the Developing World (DR or GE, IM). Design of custom devices to help the specific and unique needs of developing world hospitals. Formal engineering design principles will be emphasized; overview of developing world conditions, patent issues, engineering ethics. Designs must be based on microcontroller or equivalent electronic circuitry. Oral and written reports will be required. Students may elect to personally deliver their projects to a developing world hospital, if selected, in the summer following the course. Prerequisites: Biomedical Engineering 354L and Statistics 130. Consent of instructor required. Instructor: Malkin. One course. 462L. Design for the Developing World (DR or GR). Design of custom devices to help the specific and unique needs of developing world hospitals. Formal engineering design principles will be emphasized; overview of developing world conditions, patent issues, engineering ethics. Oral and written reports will be required. Students may elect to personally deliver their projects to a developing world hospital, if selected, in the summer following the course. Prerequisite: Biomedical Engineering 354L and Statistical Science 130. Instructor: Malkin. One course. 464L. Medical Instrument Design (DR or GE, IM). General principles of signal acquisition, amplification processing, recording, and display in medical instruments. System design, construction, and evaluation techniques will be emphasized. Methods of real-time signal processing will be reviewed and implemented in the laboratory. Each student will design, construct, and demonstrate a functional medical instrument and collect and analyze data with that instrument. Formal write-ups and presentations of each project will be required. Prerequisite: Biomedical Engineering 354L and Statistical Science 130, or equivalent or senior standing. Instructor: Malkin, S. Smith, Trahey, or Wolf. One course. 493. Projects in Biomedical Engineering (GE). For juniors and seniors who express a desire for such work and who have shown aptitude for research in one area of biomedical engineering. Consent of instructor required. Instructor: Staff. One course. 494. Projects in Biomedical Engineering (GE). For juniors or seniors who express a desire for such work and who have shown aptitude for research in one area of biomedical engineering. Consent of instructor required. Instructor: Staff. One course. 502. Neural Signal Acquisition (GE, IM, EL). This course will be an exploration of analog and digital signal processing techniques for measuring and characterizing neural signals. the analog portion will cover electrodes, amplifiers, filters and A/D converters for recording neural electrograms and EEGs. The digital portion will cover methods of EEG processing including spike detection and spike sorting. A course pack of relevant literature will be used in lieu of a textbook. Students will be required to write signal-processing algorithms. Prerequisite: Biomedical Engineering 354L. Instructor: Wolf. One course. C-L: Neuroscience 502 503. Computational Neuroengineering (GE, EL). This course introduces students to the fundamentals of computational modeling of neurons and neuronal circuits and the decoding of information from populations of spike trains. Topics include: integrate and fire neurons, Spike Response Models, Homogeneous and Inhomogeneous Poisson processes, neural circuits, Weiner (optimal), Adaptive Filters, neural networks for classification, population vector coding and decoding. Programming assignments and projects will be carried out using MATLAB.

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Prerequisites: Biomedical Engineering 101/201 or equivalent. Instructor: Henriquez. One course. C-L: Neuroscience 503 504. Fundamentals of Electrical Stimulation of the Nervous System (GE, EL). This course presents a quantitative approach to the fundamental principles, mechanisms, and techniques of electrical stimulation required for non-damaging and effective application of electrical stimulation. Consent of instructor required. Instructor: Grill. One course. 506. Measurement and Control of Cardiac Electrical Events (GE, IM, EL). Design of biomedical devices for cardiac application based on a review of theoretical and experimental results from cardiac electrophysiology. Evaluation of the underlying cardiac events using computer simulations. Examination of electrodes, amplifiers, pacemakers, and related computer apparatus. Construction of selected examples. Prerequisites: Biomedical Engineering 101L and 253L or equivalents. Instructor: Wolf. One course. 511. Theoretical Electrophysiology (GE, EL). Advanced topics on the electrophysiological behavior of nerve and striated muscle. Source-field models for single-fiber and fiber bundles lying in a volume conductor. Forward and inverse models for EMG and ENG. Bidomain model. Model and simulation for stimulation of single-fiber and fiber bundle. Laboratory exercises based on computer simulation, with emphasis on quantitative behavior and design. Readings from original literature. Prerequisite: Biomedical Engineering 101L or 301L or equivalent. Instructor: Barr or Neu. One course. C-L: Neuroscience 511 512L. Theoretical Electrocardiography (GE, EL). Electrophysiological behavior of cardiac muscle. Emphasis on quantitative study of cardiac tissue with respect to propagation and the evaluation of sources. Effect of junctions, inhomogeneities, anisotropy, and presence of unbounded extracellular space. Bidomain models. Study of models of arrhythmia, fibrillation, and defibrillation. Electrocardiographic models and forward simulations. Laboratory exercises based on computer simulation, with emphasis on quantitative behavior and design. Readings from original literature. Prerequisite: Biomedical Engineering 101L or 301L or equivalent. Instructor: Barr. One course. 513. Nonlinear Dynamics in Electrophysiology. Electrophysiological behavior of excitable membranes and nerve fibers examined with methods of nonlinear dynamics. Phase-plane analysis of excitable membranes. Limit cycles and the oscillatory behavior of membranes. Phase resetting by external stimuli. Critical point theory and its applications to the induction of rotors in the heart. Theory of control of chaotic systems and stabilizing irregular cardiac rhythms. Initiation of propagation of waves and theory of traveling waves in a nerve fiber. Laboratory exercises based on computer simulations, with emphasis on quantitative behavior and design. Readings from original literature. Prerequisite: Biomedical Engineering 101L or 301L or equivalent. Instructor: Krassowska. One course. 515. Neural Prosthetic Systems. This course will cover several systems that use electrical stimulation or recording of the nervous system to restore function following disease or injury. For each system the course will cover the underlying biophysical basis for the treatment,the technology underlying the treatment,and the associated clinical applications and challenges. Systems to be covered include cochlear implants, spinal cord stimulation of pain, vagus nerve stim. for epilepsy, deep brain stim. for movement disorders, sacral root stim. for bladder dysfunction, and neuromuscular electrical stim.for restoration of movement. Prerequisites: Biomedical Engineering 101L, Biomedical Engineering 253L, and consent of instructor. Instructor: Grill. One course. 516. Computational Methods in Biomedical Engineering (GE). Introduction to practical computational methods for data analysis and simulation with a major emphasis on implementation. Methods include numerical integration and differentiation, extrapolation, interpolation, splining FFTs, convolution, ODEs, and simple one- and two-dimensional PDEs using finite differencing. Introduction to concepts for optimizing codes on a CRAY-YMP. Examples from biomechanics, electrophysiology, and imaging. Project work included and students must have good working knowledge of Unix, Fortran, or C. Intended for graduate students and seniors who plan on attending graduate school. Prerequisite: Engineering 110L or equivalent, Mathematics 216 or equivalent, or consent of instructor. Instructor: Henriquez. One course. C-L: Modeling Biological Systems 522L. Introduction to Bionanotechnology Engineering. A general overview of nanoscale science/physical concepts will be presented as those concepts tie in with current nanoscience and nanomedicine research. Students will be introduced to the principle that physical scale impacts innate material properties and modulates how a material interacts with its environment. Important concepts such as surface-to-volume ratio, friction, electronic/optical properties, self-assembly (biological and chemical) will be contextually revisited. A number of laboratory modules ("NanoLabs") will guide students through specific aspects of nanomedicine, nanomaterials, and engineering design. Prerequisites: Biomedical Engineering 83L and Biomedical Engineering 260L or consent of instructor. One course.

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525. Biomedical Materials and Artificial Organs (GE, BB). Chemical structures, processing methods, evaluation procedures, and regulations for materials used in biomedical applications. Applications include implant materials, components of ex vivo circuits, and cosmetic prostheses. Primary emphasis on polymer-based materials and on optimization of parameters of materials which determine their utility in applications such as artificial kidney membranes and artificial arteries. Prerequisite: Biomedical Engineering 83L and 260L or their equivalent or consent of instructor. Instructor: Reichert. One course. C-L: Mechanical Engineering and Materials Science 518 526. Elasticity (GE, BB). Linear elasticity will be emphasized including concepts of stress and strain as second order tensors, equilibrium at the boundary and within the body, and compatibility of strains. Generalized solutions to two and three dimensional problems will be derived and applied to classical problems including torsion of noncircular sections, bending of curved beams, stress concentrations and contact problems. Applications of elasticity solutions to contemporary problem in civil and biomedical engineering will be discussed. Prerequisites: Biomedical Engineering 110L or Engineering 201L; Mathematics 353. Instructor: Laursen. One course. C-L: Civil and Environmental Engineering 521 527. Cell Mechanics and Mechanotransduction. This course examines the mechanical properties of cells and forces exerted by cells in biological processes of clinical and technological importance and the processes by which mechanical forces are converted into biochemical signals and activate gene expression. Topics covered include measurement of mechanical properties of cells, cytoskeleton mechanics, models of cell mechanical properties, cell adhesion, effects of physical forces on cell function, and mechanotransduction. Students will critically evaluate current literature and analyze models of cell mechanics and mechanotransduction. Prerequisites: Engineering 201L and Biomedical Engineering 307 or equivalent, knowledge of cell biology and instructoor consent. Instructror: Truskey. One course. 528. Introduction to Biofluid Mechanics. Methods and applications of fluid mechanics in biological and biomedical systems including: Governing equations and methods of solutions,(e.g. conservation of mass flow and momentum), the nature of biological fluids, (e.g.non Newtonian rheological behavior),basic problems with broad relevance, (e.g. flow in pipes, lubrication theory), applications to cells and organs in different physiological systems, (e.g. cardiovascular, gastrointestinal, respiratory, reproductive and musculoskeletal systems), applications to diagnosis and therapy, (e.g.drug delivery and devices). Prerequisite: Biomedical Engineeering 307. Instructor: Katz. One course. 529. Theoretical and Applied Polymer Science (GE, BB). One course. C-L: see Mechanical Engineering and Materials Science 514 530. Tissue Biomechanics (GE, BB). Introduction to the mechanical behaviors of biological solids and fluids with application to tissues, cells and molecules of the musculoskeletal and cardiovascular systems. Topics to be covered include static force analysis and optimization theory, biomechanics of linearly elastic solids and fluids, anisotropic behaviors of bone and fibrous tissues, blood vessel mechanics, cell mechanics and behaviors of single molecules. Emphasis will be placed on modeling stress-strain relations in these tissues, and experimental devices used to measure stress and strain. Student seminars on topics in applied biomechanics will be included. Prerequisites: Biomedical Engineering 110L or Engineering 201L; Mathematics 353. Instructor: Myers or Setton. One course. 531. Intermediate Biomechanics (GE, BB). Introduction to solid and orthopaedic biomechanical analyses of complex tissues and structures. Topics to be covered include: spine biomechanics, elastic modeling of bone, linear and quasi-linear viscoelastic properties of soft tissue (for example, tendon and ligament), and active tissue responses (for example, muscle). Emphasis will be placed on experimental techniques used to evaluate these tissues. Student seminars on topics in applied biomechanics will be included. Prerequisites: Biomedical Engineering 110L or Engineering 201L; Mathematics 353. Instructor: Myers or Setton. One course. 542. Principles of Ultrasound Imaging (GE, IM). Propagation, reflection, refraction, and diffraction of acoustic waves in biologic media. Topics include geometric optics, physical optics, attenuation, and image quality parameters such as signal-to-noise ratio, dynamic range, and resolution. Emphasis is placed on the design and analysis of medical ultrasound imaging systems. Prerequisites: Mathematics 216 and Physics 152L. Instructor: von Ramm. One course. 545. Acoustics and Hearing (GE, IM). The generation and propagation of acoustic (vibrational) waves and their reception and interpretation by the auditory system. Topics under the heading of generation and propagation include free and forced vibrations of discrete and continuous systems, resonance and damping, and the wave equation and solutions. So that students may understand the reception and interpretation of sound, the anatomy and physiology of the mammalian auditory system are presented; and the mechanics of the middle and inner ears are studied.

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Prerequisites: Biomedical Engineering 271 or equivalent and Mathematics 216. Instructor: Collins or Trahey. One course. C-L: Electrical and Computer Engineering 584 550. Modern Microscopy (GE, IM). Overview of novel microscopy techniques that are under development in research laboratories. New techniques are placed in context with basic understanding of image formation in conventional microscopy and laboratory work which applies this knowledge. A group project offers opportunity to examine special topics of interest. Prerequisite: Biomedical Engineering 354L or graduate standing. Instructor: Wax. One course. 560. Molecular Basis of Membrane Transport (GE, MC, EL). Transport of substances through cell membranes examined on a molecular level, with applications of physiology, drug delivery, artificial organs and tissue engineering. Topics include organization of the cell membrane, membrane permeability and transport, active transport and control of transport processes. Assignments based on computer simulations, with emphasis on quantitative behavior and design. Prerequisites: Biology 25L or equivalent, Mathematics 216 or equivalent. Instructors: Friedman or Neu. One course. C-L: Neuroscience 560 561L. Genome Science and Technology Lab (GE, MC). Hands-on experience on using and developing advanced technology platforms for genomics and proteomics research. Experiments may include nucleic acid amplification and quantification, lab-on-chip, bimolecular separation and detection, DNA sequencing, SNP genotyping, microarrays, and synthetic biology techniques. Laboratory exercises and designing projects are combined with lectures and literature reviews. Prior knowledge in molecular biology and biochemistry is required. Instructor consent required. Instructor: Tian. Variable credit. C-L: Computational Biology and Bioinformatics 561L, Genome Sciences and Policy 565L. Environmental Molecular Biotechnology (GE, MC). One course. C-L: Civil and Environmental Engineering 661L 566. Transport Phenomena in Cells and Organs (GE, MC). Applications of the principles of mass and momentum transport to the analysis of selected processes of biomedical and biotechnological interest. Emphasis on the development and critical analysis of models of the particular transport process. Topics include: reaction-diffusion processes, transport in natural and artificial membranes, dynamics of blood flow, pharmacokinetics, receptor-mediated processes and macromolecular transport, normal and neoplastic tissue. Prerequisite: Biomedical Engineering 307 or equivalent. Instructor: Truskey or Yuan. One course. 567. Biosensors (GE, IM, MC). Biosensors are defined as the use of biospecific recognition mechanisms in the detection of analyte concentration. The basic principles of protein binding with specific reference to enzyme-substrate, lectin-sugar, antibody-antigen, and receptor-transmitting binding. Simple surface diffusion and absorption physics at surfaces with particular attention paid to surface binding phenomena. Optical, electrochemical, gravimetric, and thermal transduction mechanisms which form the basis of the sensor design. Prerequisites: Biomedical Engineering 83L and 260L or their equivalent and consent of instructor. Instructor: Reichert or Vo-Dinh. One course. 568. Laboratory in Cellular and Biosurface Engineering (GE, MC). Introduction to common experimental and theoretical methodologies in cellular and biosurface engineering. Experiments may include determination of protein and peptide diffusion coefficients in alginate beads, hybridoma cell culture and antibody production, determination of the strength of cell adhesion, characterization of cell adhesion or protein adsorption by total internal reflection fluorescence, and Newtonian and non-Newtonian rheology. Laboratory exercises are supplemented by lectures on experiment design, data analysis, and interpretation. Prerequisites: Biomedical Engineering 307 or equivalent. Instructor: Truskey. One course. 569. Cell Transport Mechanisms (GE, MC). Analysis of the migration of cells through aqueous media. Focus on hydrodynamic analysis of the directed self-propulsion of individual cells, use of random walk concepts to model the nondirected propulsion of individual cells, and development of kinetic theories of the migrations of populations of cells. Physical and chemical characteristics of the cells' environments that influence their motion, including rheologic properties and the presence of chemotactic, stimulatory, or inhibitory factors. Cell systems include mammalian sperm migration through the female reproductive tract, protozoa, and bacteria. Emphasis on mathematical theory. Experimental designs and results. Prerequisites: Biomedical Engineering 307 and consent of instructor. Instructor: Katz. One course. 570L. Introduction to Biomolecular Engineering (GE, BB, MC). Structure of biological macromolecules, recombinant DNA techniques, principles of and techniques to study protein structure-function. Discussion of biomolecular design and engineering from the research literature. Linked laboratory assignments to alter protein

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structure at the genetic level. Expression, purification, and ligand-binding studies of protein function. Consent of instructor required. Instructor: Chilkoti. One course. 571L. Biotechnology and Bioprocess Engineering (GE, BB, MC). Introduction to the engineering principles of bioprocess engineering. Topics include: introduction to cellular and protein structure and function; modeling of enzyme kinetics, DNA transcription, metabolic pathways, cell and microbial growth and product formation; bioprocess operation, scale-up, and design. Class includes a design project. A modern biotechnology process or product is identified, the specific application and market are described (for example, medical, environmental, agricultural) along with the engineering elements of the technology. Prerequisite: Biomedical Engineering 83L or Mechanical Engineering 221L. Instructor: Chilkoti or Reichert. One course. 574. Modeling and Engineering Gene Circuits. This course discusses modeling and engineering gene circuits, such as prokaryotic gene expression, cell signaling dynamics, cell-cell communication, pattern formation, stochastic dynamics in cellular networks and its control by feedback or feedforward regulation, and cellular information processing. The theme is the application of modeling to explore "design principles" of cellular networks, and strategies to engineer such networks. Students need to define an appropriate modeling project. At the end of the course, they're required to write up their results and interpretation in a research-paper style report and give an oral presentation. Prerequisites: Biomedical Engineering 260L or consent of instructor. Instructor: You. One course. 577. Drug Delivery (GE, BB, MC). Introduction to drug delivery in solid tumors and normal organs (for example, reproductive organs, kidney, skin, eyes). Emphasis on quantitative analysis of drug transport. Specific topics include: physiologically-based pharmacokinetic analysis, microcirculation, network analysis of oxygen transport, transvascular transport, interstitial transport, transport across cell membrane, specific issues in the delivery of cells and genes, drug delivery systems, and targeted drug delivery. Prerequisite: Biomedical Engineering 307 and Engineering 53. Instructor: Yuan. One course. 578. Tissue Engineering (GE, MC). This course will serve as an overview of selected topics and problems in the emerging field of tissue engineering. General topics include cell sourcing and maintenance of differentiated state, culture scaffolds, cell-biomaterials interactions, bioreactor design, and surgical implantation considerations. Specific tissue types to be reviewed include cartilage, skin equivalents, blood vessels, myocardium and heart valves, and bioartificial livers. Prerequisites: Mathematics 353 or consent of instructor. Instructor: Bursac. One course. 590. Advanced Topics in Biomedical Engineering. Advanced subjects related to programs within biomedical engineering tailored to fit the requirements of a small group. Consent of instructor required. Instructor: Staff. One course. 590L. Advanced Topics with Lab. To be used as a "generic" course number for any advanced topics course with lab sections. Instructor: Staff. One course. THE MAJOR

The major requirements are included in the minimum total of thirty-four courses listed under general requirements and departmental requirements. The following specific courses or their approved alternatives must be included: Biomedical Engineering 100, 153, 154, 171; two Area of Interest Core classes: (Biomedical Engineering 201L, 202L, 207, 233); two electives from one selected Area of Interest (BB, MC,EL, or IM); two general (G) BME electives; and one Biomedical Engineering design course (D) (Biomedical Engineering 227L, 236L, 260L, 261L, 262L, 264L).

Civil and Environmental Engineering (CEE)Professor Albertson, Chair; Associate Professor of the Practice Schaad, Associate Chair; Associate Professor of the Practice Nadeau, Director of Undergraduate Studies; Professors Albertson, Barros, Deshusses, Di Giulio, Dolbow, Haff, Hinton, Laursen, Katul, Malin, Hueckel, Oren, Petroski, Porporato, Richardson, Trangenstein, Vengosh, Virgin, and Wiesner; Associate Professors Boadu, Ferguson, Gavin, Kabala, Kasibhatla, Mann, and Peirce; Assistant Professors Khlystov, Hsu-Kim, Gunsch, and Scruggs; Professors Emeriti Brown and Wilson; Associate Professors of the Practice Nadeau and Schaad; Adjunct Associate Professor Vallero; Lecturer Brasier

A major is available in this department. The civil engineering program is accredited by the Engineering Accreditation Commission of the Accreditation Board for Engineering and Technology.2

The infrastructure that makes up what we refer to as civilization is, for the most part, the work of civil and environmental engineers. Improving, or even maintaining, the quality of life is ever more challenging as urban

2Engineering and Technology Accreditation Commission of the Accreditation Board for Engineering and Technology (ABET) 111 Market Place, Suite 1050, Baltimore, MD 21202, telephone (410)347-7700

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problems in the industrialized nations of the world intensify, while rapid urbanization in many developing countries creates other opportunities and obligations for the civil and environmental engineer. The planning, design, construction, and maintenance of necessary facilities, in an era of increasingly scarce monetary and other resources, demand civil and environmental engineers dedicated to work for the public good and prepared to seek more efficient and effective solutions based on current technology. The challenges faced by civil and environmental engineers vary widely in nature, size, and scope, and encompass both the public and private sectors. Examples include: high-rise buildings and long-span bridges; concert halls and museums; hazardous waste disposal facilities; orbital structures; water supply and treatment facilities; tunnels; dams; seaports, airports, and offshore structures.

The mission of the undergraduate program in the Department of Civil and Environmental Engineering at Duke University is to provide an education that prepares graduates to solve technical problems, to pursue life-long learning in their field, to assume leadership roles in their chosen careers, and to recognize their professional and personal obligations to the broader society and culture. The program is designed to provide a holistic educational experience where engineering sciences and design are combined with humanities and social sciences to provide the foundation for the critical thinking and skills that allow graduates to enjoy the benefits of a liberal education.

The goals of the program are to position our graduates to:• use their knowledge and understanding of engineering sciences and design to advance their professional

career;• think critically when solving and managing tasks;• communicate effectively in multidisciplinary, professional environments;• exercise professional responsibility and sensitivity in the context of the social, economic, ethical, and

environmental implications of their engineering work;• function effectively and efficiently as an individual and as a part of a team; and• pursue life-long learning to earn relevant professional credentials (for example, licensure, professional or

graduate degrees).Students may pursue a degree program in civil engineering coupled with a double major in another department

at Duke. Examples of recently completed double majors reflect the breadth of interests shared by civil and environmental engineering students at Duke; public policy studies, economics, French, mathematics, and music. A certificate program in architectural engineering is also available.

The civil and environmental engineering program is built upon the expertise and experience of the faculty and is supported by commensurate laboratory and instructional facilities. The civil and environmental engineering professors are committed to providing quality classroom instruction, advising, and laboratory experiences in settings that encourage student-faculty as well as student-student interactions. The faculty conducts research of national and international consequence, and undergraduates have ample opportunities to be involved in such research, through undertaking independent study projects and/or by working as research assistants. The research facilities in the department, including laboratory equipment and instrumentation as well as computer resources, are comparable to those found in other major universities.

Graduates of the Department of Civil and Environmental Engineering are able to select from a wide range of career paths. Recent graduates have pursued advanced study in engineering, business, law, and architecture, while others have accepted positions with major corporations and federal, state, and local government agencies as design engineers and project managers. 160L. Introduction to Environmental Engineering and Science. QS, STS Examination of engineering and the societal context of anthropogenic contributions and impacts to the built environment. Focus on the human necessities of air, water, land, and energy and the technological interplays of environmental engineering in sustainably meeting human needs. Materials and energy balances applied to environmental engineering problems. Water pollution control, applied ecology, air quality management, solid and hazardous waste control, and environmental ethics. Instructor: Schaad or staff. One course. 190. Special Topics in Civil Engineering. Study arranged on a special topic in which the instructor has particular interest and competence. Consent of instructor and director of undergraduate studies required. Half course or one course each. Instructor: Staff. Variable credit. 201L. Uncertainty Design and Optimization. Principles of design as a creative and iterative process involving problem statements, incomplete information, conservative assumptions, constraining regulations, and uncertain operating environments. Parameterization of costs and constraints and formulation of constrained optimization problems. Analytical and numerical solutions to constrained optimization problems. Evaluation of design solutions

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via sensitivity and risk analysis. Application to design problems in civil and environmental engineering. Prerequisite: Engineering 201L. Instructor: Gavin. One course. 205S. Practical Methods in Civil Engineering. Introduction to the practical methods used by Civil Engineers, including surveying, computer-aided-design, geographical information systems, and use of the mills, lathes, and other machine tools. Instructor: Schaad. Half course. 301L. Fluid Mechanics. Physical properties of fluids; fluid-flow concepts and basic equations; continuity, energy, and momentum principles; dimensional analysis and dynamic similitude; viscous effects; applications emphasizing real fluids. Selected laboratory work. Corequisites: Engineering 244L and Mathematics 353. Instructor: Boadu, Kabala, Laursen, Medina, Porporato. One course. 302L. Introduction to Soil Mechanics. Origin and composition of soils, soil structure. Flow of water through soils. Environmental geotechnology: land waste disposal, waste containment, and remediation technologies. Soil behavior under stress; compressibility, shear strength. Elements of mechanics of soil masses with application to problems of bearing capacity of foundations, earth pressure on retaining walls, and stability of slopes. Laboratory included. Prerequisite: Civil and Environmental Engineering 301L. Instructor: Boadu, Hueckel. One course. 307. Transport Phenomena in Biological Systems (AC or GE, BB). One course. C-L: see Biomedical Engineering 307; also C-L: Mechanical Engineering and Materials Science 307, Modeling Biological Systems 311. Architectural Engineering I. ALP, STS Analysis of the building through the study of its subsystems (enclosure, space, structural, environmental-control). Building materials and their principal uses in the enclosure and structural subsystems. Computer aided design. Field trips. Prerequisite: junior or senior standing, consent of instructor for nonengineering students. Instructor: Brasier. One course. 315. Engineering Sustainable Design and Construction. QS, STS Design and testing of solutions to complex interdisciplinary design products in a service learning context. Technical design principles; sustainable and engineering best practices; prototype formation, testing and evaluation; and establishment of research and analysis methodologies in a community based research experience. Working in partnership with a community agency (local, national, or international) and participation in an experimental learning process by engineering a design solution for an identified community need. Evaluation focused on design deliverables, fabricated prototypes and a critical reflection of the experimental learning process. One credit. Prerequisites: Engineering 201L or Electrical and Computer Engineering 110L or consent of instructor. Instructor: Schaad. One course. 316. Transportation Engineering. The role and history of transportation. Introduction to the planning and design of multimodal transportation systems. Principles of traffic engineering, route location, and geometric design. Planning studies and economic evaluation. Prerequisite: Statistical Science 130 and consent of instructor for nonengineering students. Instructor: Staff. One course. 390. Special Topics in Civil Engineering. Study arranged on a special topic in which the instructor has particular interest and competence. Consent of instructor and director of undergraduate studies required. Half course or one course each. Instructor: Staff. Variable credit. 391. Projects in Civil Engineering. These courses may be taken by junior and senior engineering students who have demonstrated aptitude for independent work. Consent of instructor and director of undergraduate studies required. Half course or one course each. Instructor: Staff. Variable credit. 394. Engineering Undergraduate Fellows Projects. Intensive research project in Civil and Environmental Engineering by students selected as Engineering Undergraduate Fellows. Course credit is contingent upon satisfactory completion of 493 and 494. Consent of instructor and program director required. Instructor: Staff. One course. 411. Architectural Engineering II. ALP, STS Design and integration of building subsystems (enclosure, space, structural, environmental-control) in the design of a medium-sized building. Prerequisite: Civil Engineering 311 or consent of instructor. Instructor: Brasier. One course. 421L. Matrix Structural Analysis. Development of stiffness matrix methods from first principles. Superposition of loads and elements. Linear analysis by hand and computer of plane and space structures comprising one-dimensional truss and beam elements. Prerequisites: Engineering 201L and Mathematics 216. Instructors: Gavin, Laursen, or Virgin. One course. 422L. Concrete and Composite Structures. Properties and design of concrete. Analysis and design of selected reinforced concrete structural elements according to strength design methodology. Mechanics forming the foundation of the methodology is featured. Laboratory work on properties of aggregates, concrete, and reinforced concrete. Prerequisite: Engineering 201L. Instructor: Nadeau. One course.

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423L. Metallic Structures. Design of tension, compression, and flexural members. Bolted and welded connections. Design by LRFD methodology. Selected laboratory work. Prerequisite: Engineering 201L. Instructor: Nadeau. One course. 425. Analytical and Computational Solid Mechanics. Investigation and application of intermediate concepts of mechanics, expanding upon elementary ideas covered in Engineering 201L. Topics include: generalized stress and strain relations and differential equations of equilibrium in solids; the theory of elasticity, including some fundamental solutions; failure and strength theories from mechanics; and plate bending. Introduction of the finite element method as a means of solution of plate and planar elasticity problems, including basic theoretical concepts and modeling techniques involved in applications. Assigned work will feature analytical work and application of commercial finite element packages. Prerequisites: Engineering 201L, Mathematics 212 and 216, or consent of instructor. Instructor: Laursen or Dolbow. One course. C-L: Mechanical Engineering and Materials Science 425, Modeling Biological Systems 429. Integrated Structural Design. Student design teams complete a preliminary design of an actual structural engineering project and present the design to a panel of civil engineering faculty and practitioners. A written technical report is required. Topics to be addressed include: the design process; cost estimation; legal, ethical, and social aspects of professional engineering practice; short-term and long-term design serviceability considerations. Open only to civil engineering students during their final two semesters. Prerequisites: Civil and Environmental Engineering 421L, 422L, and 423L. Instructor: Nadeau. One course. 461L. Chemical Principles in Environmental Engineering. Fundamentals of chemistry as applied in environmental engineering processes. Chemistry topics include acid-base equilibrium, the carbonate system, mineral surfaces interactions, redox reactions, and organic chemistry. Applied environmental systems include water treatment, soil remediation, air pollution and green engineering. Laboratory included. Field trips will be arranged. Prerequisite: Chemistry 20, 21, or 101DL, or consent of instructor. Instructor: Hsu-Kim. One course. C-L: Energy and the Environment 462L. Biological Principles in Environmental Engineering. Fundamentals of microbiology related to biological environmental engineering processes. Topics include microbial metabolism, molecular biological tools, mass balance, and reactor models. Applications to include unit processes in wastewater treatment, bioremediation and biofiltration. Laboratory included. Field trips to be arranged. Prerequisite: Civil and Environmental Engineering 301L. Instructor: Deshusses, Gunsch. One course. C-L: Energy and the Environment 463L. Water Resources Engineering. Descriptive and quantitative hydrology, hydraulics of pressure conduits and measurement of flow, compound pipe systems, analysis of flow in pressure distribution systems, open channel flow, reservoirs and distribution system storage. Groundwater hydrology and well-hydraulics. Probability and statistics in water resources. Selected laboratory and field exercises, computer applications. Prerequisite: Civil and Environmental Engineering 301L. Instructor: Kabala, Medina. One course. 469. Integrated Environmental Design. Student design teams complete a preliminary design of an actual environmental engineering project and present the design to a panel of civil engineering faculty and practitioners. A written technical report is required. Topics to be addressed include: the design process; cost estimation; legal, ethical, and social aspects of professional engineering practice; short-term and long-term design serviceability considerations. Open only to civil engineering students during their final two semesters. Prerequisites: Civil and Environmental Engineering 461L, 463L, and 462L. Instructor: Schaad. One course. C-L: Global Health 491. Projects in Civil Engineering. These courses may be taken by junior and senior engineering students who have demonstrated aptitude for independent work. Consent of instructor and director of undergraduate studies required. Half course or one course each. Instructor: Staff. Variable credit. 493. Engineering Undergraduate Fellows Projects. Continuation course for Engineering Undergraduate Fellows, contingent upon satisfactory completion of 394. Consent required. Instructor: Staff. One course. 494. Engineering Undergraduate Fellows Projects. Final continuation course for Engineering Undergraduate Fellows, contingent upon satisfactory completion of 394 and 493. Consent required. Instructor: Staff. One course. 501. Applied Mathematics for Engineers. Advanced analytical methods of applied mathematics useful in solving a wide spectrum of engineering problems. Applications of linear algebra, calculus of variations, the Frobenius method, ordinary differential equations, partial differential equations, and boundary value problems. Prerequisites: Mathematics 353 or equivalent and undergraduate courses in solid and/or fluid mechanics. Instructor: Kabala. One course. C-L: Modeling Biological Systems 502. Engineering Data Analysis. Introduction to the statistical error analysis of imprecise data and the estimation of physical parameters from data with uncertainty. Interpolation and filtering. Data and parameter covariance.

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Emphasis on time series analysis in the time- and frequency-domains. Linear and nonlinear least squares. Confidence intervals and belts. Hypothesis testing. Introduction to parameter estimation in linear and nonlinear dynamic systems. Prerequisite: graduate standing or instructor consent. Instructors: Boadu, Gavin, or Porporato. One course. 520. Continuum Mechanics. Tensor fields and index notation. Analysis of states of stress and strain. Conservation laws and field equations. Constitutive equations for elastic, viscoelastic, and elastic-plastic solids. Formulation and solution of simple problems in elasticity, viscoelasticity, and plasticity. Instructors: Hueckel, Laursen, or Nadeau. One course. 521. Elasticity (GE, BB). One course. C-L: see Biomedical Engineering 526 525. Wave Propagation in Elastic and Poroelastic Media. Basic theory, methods of solution, and applications involving wave propagation in elastic and poroelastic media. Analytical and numerical solution of corresponding equations of motion. Linear elasticity and viscoelasticity as applied to porous media. Effective medium, soil/rock materials as composite materials. Gassmann's equations and Biot's theory for poroelastic media. Stiffness and damping characteristics of poroelastic materials. Review of engineering applications that include NDT, geotechnical and geophysical case histories. Prerequisite: Mathematics 353 or consent of instructor. Instructor: Boadu. One course. 530. Introduction to the Finite Element Method. Investigation of the finite element method as a numerical technique for solving linear ordinary and partial differential equations, using rod and beam theory, heat conduction, elastostatics and dynamics, and advective/diffusive transport as sample systems. Emphasis placed on formulation and programming of finite element models, along with critical evaluation of results. Topics include: Galerkin and weighted residual approaches, virtual work principles, discretization, element design and evaluation, mixed formulations, and transient analysis. Prerequisites: a working knowledge of ordinary and partial differential equations, numerical methods, and programming in FORTRAN or MATLAB. Instructor: Dolbow and Laursen. One course. C-L: Mechanical Engineering and Materials Science 524 535. Engineering Analysis and Computational Mechanics. Mathematical formulation and numerical analysis of engineering systems with emphasis on applied mechanics. Equilibrium and eigenvalue problems of discrete and distributed systems; properties of these problems and discretization of distributed systems in continua by the trial functions with undetermined parameters. The use of weighted residual methods, finite elements, and finite differences. Prerequisite: senior or graduate standing. Instructor: Dolbow and Laursen. One course. C-L: Modeling Biological Systems 541. Structural Dynamics. Formulation of dynamic models for discrete and continuous structures; normal mode analysis, deterministic and stochastic responses to shocks and environmental loading (earthquakes, winds, and waves); introduction to nonlinear dynamic systems, analysis and stability of structural components (beams and cables and large systems such as offshore towers, moored ships, and floating platforms). Instructor: Gavin. One course. 560. Environmental Transport Phenomena. Conservation principles in the atmosphere and bodies of water, fundamental equations for transport in the atmosphere and bodies of water, scaling principles, simplification, turbulence, turbulent transport, Lagrangian transport, applications to transport of particles from volcanoes and stacks, case studies: volcanic eruption, Chernobyl accident, forest fires and Toms River power plant emission. Instructor: Wiesner. One course. 562. Biological Processes in Environmental Engineering. Biological processes as they relate to environmental systems, including wastewater treatment and bioremediation. Concepts of microbiology, chemical engineering, stoichemistry, and kinetics of complex microbial metabolism, and process analyses. Specific processes discussed include carbon oxidation, nitrification/denitrification, phosphorus removal, methane production, and fermentation. Consent of instructor required. Instructor: Staff. One course. 563. Chemical Fate of Organic Compounds. One course. C-L: see Environment 540 564. Physical Chemical Processes in Environmental Engineering. Theory and design of fundamental and alternative physical and chemical treatment processes for pollution remediation. Reactor kinetics and hydraulics, gas transfer, adsorption, sedimentation, precipitation, coagulation/flocculation, chemical oxidation, disinfection. Prerequisites: introductory environmental engineering, chemistry, graduate standing, or permission of instructor. Instructor: Staff. One course. 566. Environmental Microbiology. Fundamentals of microbiology and biochemistry as they apply to environmental engineering. General topics include cell chemistry, microbial metabolism, bioenergetics, microbial

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ecology and pollutant biodegradation. Prerequisites: Civil and Environmental Engineering 462L or graduate standing or consent of the instructor. Instructor: Gunsch. One course. 569. Introduction to Atmospheric Aerosol. Atmospheric aerosol and its relationship to problems in air control, atmospheric science, environmental engineering, and industrial hygiene. Open to advanced undergraduate and graduate students. Prerequisites: knowledge of calculus and college-level physics. Consent of instructor required. Instructor: Khlystov. One course. 571. Control of Hazardous and Toxic Waste. Engineering solutions to industrial and municipal hazardous waste problems. Handling, transportation, storage, and disposal technologies. Biological, chemical, and physical processes. Upgrading abandoned disposal sites. Economic and regulatory aspects. Case studies. Consent of instructor required. Instructor: Peirce. One course. 575. Air Pollution Control Engineering. The problems of air pollution with reference to public health and environmental effects. Measurement and meteorology. Air pollution control engineering: mechanical, chemical, and biological processes and technologies. Instructor: Peirce. One course. 576L. Aerosol Measurement Techniques for Air Quality Monitoring and Research. Principles of measurements and analysis of ambient particulate matter (aerosol). Traditional and emerging measurements techniques currently used in air quality monitoring and homeland defense. Open to advanced undergraduate and graduate students interested in the science and engineering related to atmospheric aerosol. Consent of the instructor required. Instructor: Khlystov. One course. 581. Pollutant Transport Systems. Distribution of pollutants in natural waters and the atmosphere; diffusive and advective transport phenomena within the natural environment and through artificial conduits and storage/treatment systems. Analytical and numerical prediction methods. Prerequisite: Civil and Environmental Engineering 301L and Mathematics 353, or equivalents. Instructor: Medina. One course. 585. Vadose Zone Hydrology. Transport of fluids, heat, and contaminants through unsaturated porous media. Understanding the physical laws and mathematical modeling of relevant processes. Field and laboratory measurements of moisture content and matric potential. Prerequisites: Civil and Environmental Engineering 301L and Mathematics 353, or consent of instructor. Instructor: Kabala. One course. 621. Plasticity. Inelastic behavior of soils and engineering materials. Yield criteria. Flow rules. Concepts of perfect plasticity and plastic hardening. Methods of rigid-plasticity. Limit analysis. Isotropic and kinematic hardening. Plastic softening. Diffused damage. Thermo-plasticity. Visco-plasticity. Prerequisite: Civil and Environmental Engineering 520 or consent of instructor. Instructor: Hueckel. One course. 622. Fracture Mechanics. Theoretical concepts concerning the fracture and failure of brittle and ductile materials. Orowan and Griffith approaches to strength. Determination of stress intensity factors using compliance method, weight function method, and numerical methods with conservation laws. Cohesive zone models, fracture toughness, crack growth stability, and plasticity. Prerequisites: Civil and Environmental Engineering 520, or instructor consent. Instructor: Dolbow. One course. 623. Mechanics of Composite Materials. Theory and application of effective medium, or homogenization, theories to predict macroscopic properties of composite materials based on microstructural characterizations. Effective elasticity, thermal expansion, moisture swelling, and transport properties, among others, are presented along with associated bounds such as Voigt/Reuss and Hashin-Shtrikman. Specific theories include Eshelby, Mori-Tanaka, Kuster-Toksoz, self-consistent, generalized self-consistent, differential method, and composite sphere and cylinder assemblages. Tensor-to-matrix mappings, orientational averaging, and texture analysis. Composite laminated plates, environmentally induced stresses, and failure theories. Prerequisite: Civil and Environmental Engineering 520 or consent of instructor. Instructor: Nadeau. One course. 625. Intermediate Dynamics: Dynamics of Very High Dimensional Systems. One course. C-L: see Mechanical Engineering and Materials Science 541 626. Energy Flow and Wave Propagation in Elastic Solids. One course. C-L: see Mechanical Engineering and Materials Science 543 627. Linear System Theory. Construction of continuous and discrete-time state space models for engineering systems, and linearization of nonlinear models. Applications of linear operator theory to system analysis. Dynamics of continuous and discrete-time linear state space systems, including time-varying systems. Lyapunov stability theory. Realization theory, including notion of controllability and observability, canonical forms, minimal realizations, and balanced realizations. Design of linear feedback controllers and dynamic observers, featuring both pole placement and linear quadratic techniques. Introduction to stochastic control and filtering. Prerequisites:

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Electrical and Computer Engineering 382 or Mecahnical Engineering 344L, or consent of instructor. Instructor: Staff. One course. 628. Stochastic Systems. Analysis of continuous and discrete-time stochastic processes, with emphasis on application to mechanics. Time-and frequency-domain analysis of stationary linear stochastic systems. Optimal filtering and control of stochastic systems. Continuous-time Poisson counters and Wiener processes. Introduction to stochastic (Ito) calculus. Continuous-time nonlinear and nonstationary stochastic processes, and the Fokker-Plank equations. Failure analysis and first-passage reliability analysis for continuous-time dynamic systems. Introduction to approximate analysis of nonlinear stochastic systems. Prerequisites: Statistical Science 130 and Civil and Environmental Engineering 627. Instructor: Staff. One course. 630. Nonlinear Finite Element Analysis. Formulation and solution of nonlinear initial/boundary value problems using the finite element method. Systems include nonlinear heat conduction/diffusion, geometrically nonlinear solid and structural mechanics applications, and materially nonlinear systems (for example, elastoplasticity). Emphasis on development of variational principles for nonlinear problems, finite element discretization, and equation-solving strategies for discrete nonlinear equation systems. Topics include: Newton-Raphson techniques, quasi-Newton iteration schemes, solution of nonlinear transient problems, and treatment of constraints in a nonlinear framework. An independent project, proposed by the student, is required. Prerequisite: Civil and Environmental Engineering 530/Mechanical Engineering 524, or consent of instructor. Instructor: Dolbow, Laursen. One course. C-L: Mechanical Engineering and Materials Science 525 635. Computational Methods for Evolving Discontinuities. Presents an overview of advanced numerical methods for the treatment of engineering problems such as brittle and ductile failure and solid-liquid phase transformations in pure substances. Analytical methods for arbitrary discontinuities and interfaces are reviewed, with particular attention to the derivation of jump conditions. Partition of unity and level set methods. Prerequisites: Civil and Environmental Engineering 530, or 630, or instructor consent. Instructor: Dolbow. One course. C-L: Modeling Biological Systems 641. Advanced Soil Mechanics. Characterization of behavior of geomaterials. Stress-strain incremental laws. Nonlinear elasticity, hypo-elasticity, plasticity and visco-plasticity of geomaterials; approximated laws of soil mechanics; fluid-saturated soil behavior; cyclic behavior of soils; liquefaction and cyclic mobility; elements of soil dynamics; thermal effects on soils. Prerequisite: Civil and Environmental Engineering 302L or equivalent. Instructor: Hueckel. One course. 642. Environmental Geomechanics. The course addresses engineered and natural situations, where mechanical and hydraulic properties of soils and rocks depend on environmental (thermal chemical, biological) processes. Experimental findings are reviewed, and modeling of coupled thermo-mechanical, chemo-mechanical technologies are reviewed. Instructor: Hueckel. One course. 643. Environmental and Engineering Geophysics. Use of geophysical methods for solving engineering and environmental problems. Theoretical frameworks, techniques, and relevant case histories as applied to engineering and environmental problems (including groundwater evaluation and protection, siting of landfills, chemical waste disposals, roads assessments, foundations investigations for structures, liquefaction and earthquake risk assessment). Introduction to theory of elasticity and wave propagation in elastic and poroelastic media, electrical and electromagnetic methods, and ground penetrating radar technology. Prerequisite: Mathematics 353 or Physics 152L, or consent of instructor. Instructor: Boadu. One course. 644. Inverse Problems in Geosciences and Engineering. Basic concepts, theory, methods of solution, and application of inverse problems in engineering, groundwater modeling, and applied geophysics. Deterministic and statistical frameworks for solving inverse problems. Strategies for solving linear and nonlinear inverse problems. Bayesian approach to nonlinear inverse problems. Emphasis on the ill-posed problem of inverse solutions. Data collection strategies in relation to solution of inverse problems. Model structure identification and parameter estimation procedures. Prerequisite: Mathematics 353 or consent of instructor. Instructor: Boadu. One course. 645. Experimental Systems. Formulation of experiments; Pi theorem and principles of similitude; data acquisition systems; static and dynamic measurement of displacement, force, and strain; interfacing experiments with digital computers for data storage, analysis, and plotting. Students select, design, perform, and interpret laboratory-scale experiments involving structures and basic material behavior. Prerequisite: senior or graduate standing in engineering or the physical sciences. Instructor: Gavin. One course. 646. Plates and Shells. Differential equation and extremum formulations of linear equilibrium problems of Kirchhoffian and non-Kirchhoffian plates of isotropic and aelotropic material. Solution methods. Differential equation formulation of thin aelotropic shell problems in curvilinear coordinates; membrane and bending theories;

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specialization for shallow shells, shells of revolution, and plates. Extremum formulation of shell problems. Solution methods. Prerequisites: (Civil and Environmental Engineering 421L or Mechanical Engineering 321L) and Mathematics 353. Instructor: Virgin. One course. C-L: Mechanical Engineering and Materials Science 626 647. Buckling of Engineering Structures. An introduction to the underlying concepts of elastic stability and buckling, development of differential equation and energy approaches, buckling of common engineering components including link models, struts, frames, plates, and shells. Consideration will also be given to inelastic behavior, postbuckling, and design implications. Prerequisite: Civil and Environmental Engineering 421L, or consent of instructor. Instructor: Virgin. One course. C-L: Mechanical Engineering and Materials Science 527 648. Multivariable Control. Synthesis and analysis of multivariable linear dynamic feedback compensators. Standard problem formulation. Performance norms. Full state feedback and linear quadratic Gaussian synthesis. Lyapunov and Riccati equations. Passivity, positivity, and self-dual realizations. Nominal performance and robust stability. Applications to vibration control, noise suppression, tracking, and guidance. Prerequisite: a course in linear systems and classical control, or consent of instructor. Instructor: Bushnell, Clark, or Gavin. One course. C-L: Mechanical Engineering and Materials Science 548 649. Structural Engineering Project Management. Apply project management tools and skills to a structural engineering design project. Implement changes in schedule, budget, and changing client and/or regulatory climate. Work with a design team of undergraduate students. Prerequisites: not open to students who have had Civil and Environmental Engineering 429, 469, or 679. Consent of instructor required. Instructor: Nadeau. One course. 661L. Environmental Molecular Biotechnology (GE, MC). Principles of genetics and recombinant DNA for environmental systems. Applications to include genetic engineering for bioremediation, DGGE, FISH, micro-arrays and biosensors. Laboratory exercises to include DNA isolation, amplification, manipulation and analysis. Prerequisites: Civil and Environmental Engineering 462L, Biology 20, Biology 201L, or graduate standing, or consent of instructor. Instructor: Gunsch. One course. C-L: Biomedical Engineering 565L 662. Physico-Bio-Chemical Transformations. Surveys of a selection of topics related to the interaction between fluid flow (through channels or the porous media) and physical, chemical, and biochemical transformations encountered in environmental engineering. Numerous diverse phenomena, including solute transport in the vicinity of chemically reacting surfaces, reverse osmosis, sedimentation, centrifugation, ultrafiltration, rheology, microorganism population dynamics, and others will be presented in a unifying mathematical framework. Prerequisites: Civil and Environmental Engineering 301L and Mathematics 353, or consent of instructor. Instructor: Kabala. One course. 665. Introduction to Atmospheric Chemistry. NS One course. C-L: see Environment 739 666. Aquatic Geochemistry. Geochemistry of the water-solid interface of soils, minerals, and particles in earth systems. Topics will vocer a quantitative description of the chemical composition of soils, geochemical specalation, mindral weathering and stability, sorption and ion exchange, soil redox processes, and chemical kinetics at environmental surfaces. Pre-requisite: Civil and Environmental Engineering 561/Environment 542 or Civil and Environmental Engineering 461L, or consent of instructor. Instructor: Hsu-Kim. One course. 671. Physicochemical Unit Operations in Water Treatment. Fundamental bases for design of water and waste treatment systems, including transport, mixing, sedimentation and filtration, gas transfer, coagulation, and absorption processes. Emphasis on physical and chemical treatment combinations for drinking water supply. Prerequisite: Civil and Environmental Engineering 462L. Instructor: Kabala. One course. 672. Solid Waste Engineering. Engineering design of material and energy recovery systems including traditional and advanced technologies. Sanitary landfills and incineration of solid wastes. Application of systems analysis to collection of municipal refuse. Major design project in solid waste management. Prerequisite: Civil and Environmental Engineering 462L, or consent of instructor. Instructor: Staff. One course. C-L: Environment 548 675. Introduction to the Physical Principles of Remote Sensing of the Environment. The course provides an overview of the radiative transfer principles used in remote-sensing across the electromagnetic spectrum using both passive and active sensors. Special focus is placed on the process that leads from theory to the development of retrieval algorithms for satellite-based sensors, including post-processing of raw observations and uncertainty analysis. Students carry on three hands-on projects (Visible and Thermal Infrared, Active Microwave, and Passive Microwave). Background in at least one of the following disciplines is desirable: radiation transfer, signal processing, and environmental physics (Hydrology, Geology, Geophysics, Plant Biophysics, Soil Physics). Instructor consent required. Instructor: Barros. One course. 676. Fundamentals and Applications of UV Processes in Environmental Systems. Ultraviolet light based processes as they relate to treatment of contaminants in water and air. Concepts in photochemistry and

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photobiology, fluence determination, UV disinfection, photodegradation processes for chemical containments, advanced oxidation processes, mathematical modeling and design of UV systems. Includes laboratory exercises. Prerequisites: Civil and Environmental Engineering 564, or consent of instructor. Instructor: Staff. One course. 679. Environmental Engineering Project Management. Apply project management tools and skills to an environmental engineering design project. Implement changes in schedule, budget, and changing client and/or regulatory climate. Work with a design team of undergraduate students. Consent of instructor required. Prerequisites: not open to students who have had Civil and Environmental Engineering 429, 469, or 649. Instructor: Schaad. One course. 681. Analytical Models of Subsurface Hydrology. Reviews the method of separation of variables, surveys integral transforms, and illustrates their application to solving initial boundary value problems. Three parts include: mathematical and hydrologic fundamentals, integral transforms and their philosophy, and detailed derivation via integral transforms of some of the most commonly used models in subsurface hydrology and environmental engineering. Discussion and use of parameter estimation techniques associated with the considered models. Prerequisite: Mathematics 353 and (Civil and Environmental Engineering 301L or 463L), or consent of instructor. Instructor: Kabala. One course. 682. Dynamic Engineering Hydrology. Dynamics of the occurrence, circulation, and distribution of water; climate, hydrometeorology, geophysical fluid motions. Precipitation, surface runoff and stream flow, infiltration, water losses. Hydrograph analysis, catchment characteristics, hydrologic instrumentation, and computer simulation models. Prerequisite: Civil and Environmental Engineering 301L, or consent of instructor. Instructor: Medina. One course. 683. Groundwater Hydrology and Contaminant Transport. Review of surface hydrology and its interaction with groundwater. The nature of porous media, hydraulic conductivity, and permeability. General hydrodynamic equations of flow in isotropic and anisotropic media. Water quality standards and contaminant transport processes: advective-dispersive equation for solute transport in saturated porous media. Analytical and numerical methods, selected computer applications. Deterministic versus stochastic models. Applications: leachate from sanitary landfills, industrial lagoons and ponds, subsurface wastewater injection, monitoring of groundwater contamination. Conjunctive surface-subsurface models. Prerequisite: Civil and Environmental Engineering 301L, or consent of instructor. Instructor: Medina. One course. 684. Physical Hydrology and Hydrometeorology. The objective of this course is to introduce and familiarize graduate students with the fundamental physical processes in Hydrology and Hydrometeorology that control and modulate the pathways and transformations of water in the environment. The content of the course will be strongly oriented toward providing students with a specific basis for quantitative analysis of the terrestrial water cycle including land-atmosphere interactions and clouds and precipitation (rain and snow) processes. The course should be of interest to undergraduate and graduate students interested in Environmental Science and Engineering, and Atmospheric and Earth Sciences. Instructor: Barros. One course. 685. Water Supply Engineering Design. The study of water resources and municipal water requirements including reservoirs, transmission, treatment and distribution systems; methods of collection, treatment, and disposal of municipal and industrial wastewaters. The course includes the preparation of a comprehensive engineering report encompassing all aspects of municipal water and wastewater systems. Field trips to be arranged. Prerequisite: Civil and Environmental Engineering 462L, or consent of instructor. Instructor: Staff. One course. 686. Ecohydrology. This course provides the theoretical basis for understanding the interaction between hydrologic cycle, vegetation and soil biogeochemistry which is key for a proper management of water resources and terrestrial ecosystems especially in view of the possible intensification and alteration of the hydrologic regime due to climate change. Topics include: Probabilistic soil moisture dynamics; plant water stress; coupled dynamics of soil moisture, transpiration and photosynthesis; and infiltration, root uptake, and hydrologic control on soil biogeochemistry. Instructor: Porporato. One course. 690. Advanced Topics in Civil and Environmental Engineering. Opportunity for study of advanced subjects relating to programs within the civil and environmental engineering department tailored to fit the requirements of individuals or small groups. Instructor: Staff. Variable credit. THE MAJOR

The major requirements are included in the minimum of thirty-four courses listed under general requirements and departmental requirements. The following specific courses must be included. All majors must take Engineering 25L, 53L, 75L, 115, 123L, and 150L: Civil and Environmental Engineering 24L, 100, 122L, 130L, and 139L. Majors choosing the structural engineering and mechanics sequence must take Civil and Environmental engineering

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131L, 133L, 134L and 192. Majors choosing the environmental engineering and water resources sequence must take Civil and Environmental Engineering 120L, 123L, 124L and 193.

Electrical and Computer Engineering (ECE)Professor Collins, Chair; Associate Professor Board, Associate Chair; Associate Professor of the Practice Huettel, Director of Undergraduate Studies; Professors Brady, Brown, Calderbank, Carin, Chakrabarty, Daubechies, Donald, Fair, Glass, Harer, Joines, Jokerst, Katsouleas, Krolik, Lebeck, Liu, Maggs, Massoud, Nolte, Smith, and Trivedi; Associate Professors Brooke, Cummer, Ferrari, Kim, Kedem, Nowacek, Sorin, and Teitsworth; Assistant Professors Cox, Dwyer, Lee, Peterchev, Reynolds, Roy Choudhury, Stiff-Roberts, Willett, Yang, and Yoshie; Professors Emeriti Casey, George, Marinos, Wang, and Wilson; Professor of the Practice Ybarra; Associate Professor of the Practice Gustafson; Assistant Research Professors Liao, Marks, Maunz, Morizio, Morton, Poutrina, Raginsky, Torrione, and Urzhumov; Adjunct Professors Derby, Lampert, Natishan, Stoner and Wilson; Adjunct Associate Professors Janet and Ozev; Adjunct Assistant Professors Remus and Stohl; Visiting Professors Kaiser and McCumber

The educational mission of the Department of Electrical and Computer Engineering is to facilitate the development of graduates who are highly technically skilled, well rounded, productive, and ethical individuals versed in social, economic, political, and environmental issues. Our goals are to develop within each student a robust repertoire of professional skills, to provide each with avenues for exploring diverse interests, and to launch each successfully into one of a variety of careers offering lifelong learning, service, and leadership within their own local, national, and global communities. To achieve our mission, the department puts forth the following educational objectives for the extremely capable students entering the ECE program.

Our graduates 1 will be prepared to enter careers in academia, industry, or government with problem solving and

technical skills that will facilitate their advancement into leadership roles in the profession of electrical and computer engineering or related areas;

2 will utilize their analytical skills, knowledge of modern engineering tools, and interdisciplinary project-based learning to function effectively in positions that require creative solutions, involve coordination of multiple disciplines, and concern for positive societal outcomes; and

3 will be prepared to solve problems based upon fundamental knowledge of electrical and computer engineering, abilities to engage in life-long learning, and in-depth exposure to the humanities and social sciences.

The Electrical and Computer Engineering (ECE) program is fully accredited by the Engineering Commission of the Accreditation Board for Engineering and Technology (ABET)3 and leads to a Bachelor of Science in Engineering (BSE) degree. The ECE curriculum provides a solid foundation in mathematics, physical and life sciences, computer science, and humanities and social sciences that complements a set of 12 theme-based ECE courses.

The Department of Electrical and Computer Engineering has designed its curriculum based on the theme of Integrated Sensing and Information Processing (ISIP). The ISIP theme capitalizes on the collective research expertise of the ECE faculty and provides a coherent, overarching framework that links principles of ECE to each other and to real-world engineering problems. The cornerstone of the new ECE curriculum is the first course Fundamentals of Electrical and Computer Engineering, which has been designed to provide students with a holistic view of ECE by introducing concepts spanning how to interface sensors and systems with the physical world, how to transfer/transmit energy/information, and how to extract, manipulate, analyze and interpret information. The integrated design challenge in this first course introduces students to team problem solving and motivates in-depth study of ECE concepts in subsequent terms. Each of four follow-on core courses focuses on a specific subfield of ECE (Digital Systems, Microelectronics, Sensing and Waves, Signals and Systems), and integrates lateral and vertical connections to other courses through the use of thematic examples. Following the five core courses are seven ECE technical electives that include a culminating engineering design course where teams of students address a significant real-world problem or opportunity.

The ECE curriculum emphasizes creative problem solving through open-ended design challenges in many courses. Working in teams, students collaborate to utilize and develop their individual and collective technical,

3Engineering Accrediation Commission of the Accrediation Board for Engineering and Technology (ABET) 111 Market Place, Suite 1050, Baltimore, MD 21202, telephone (410) 347-7700

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management, and leadership skills to design, simulate, build, and test components and systems to meet a set of specifications, often defined by industry standards.

Students have the option to pursue two or three areas of concentration, depending on personal interests. The upper-level technical electives, which extend the breadth and depth of the ECE core curriculum, provide a firm foundation for future technical accomplishment and for effective problem solving in the diverse fields that our graduates pursue.

The flexibility of the ECE curriculum enables students and their faculty advisors to tailor a unique educational experience for every student. This may include a semester abroad; a second major, minor, or certificate program; and/or a research experience with a faculty member. The most popular second majors are computer science and biomedical engineering. Other popular second majors include mathematics, economics, physics, and public policy. Interests such as premedicine, prelaw, art, music, psychology, and social sciences can be accommodated through individually designed programs. Students are encouraged to take more than the minimum required courses in the sciences and the liberal arts, as is fitting at an engineering school in a university with a strong liberal arts tradition.110L. Fundamentals of Electrical and Computer Engineering. Students learn core ECE concepts, providing a foundation on which subsequent courses build. These concepts include techniques for analyzing linear circuits, semiconductor and photonic devices, frequency representation, filtering, and combinational and sequential logic. Central to the course is an extensive design challenge that requires students to integrate knowledge across topics while honing practical design and project management skills. The course culminates in an exciting competition in which teams of robots race to overcome challenging obstacles using sensor data acquisition and processing. Prerequisite: Engineering 110L. Corequisite: Mathematics 122. Instructor: Huettel or Ybarra. One course. 230L. Introduction to Microelectronic Devices and Circuits. Hands-on, laboratory driven introduction to microelectronic devices, sensors, and integrated circuits. Student teams of 3-4 students/team compete in a design, assembly, testing, characterization and simulation of an electronic system. Projects include microelectronic devices, sensors, and basic analog and digital circuits. Classroom portion designed to answer questions generated in laboratory about understanding operation of devices and sensors, and the performance of electronic circuits. Student evaluation based on project specification, prototyping, integration, testing, simulation and documentation. Prerequisites: Engineering 110L, and either Electrical and Computer Engineering 110L or Biomedical Engineering 253L. Instructor: Brooke or Massoud. One course. 250L. Introduction to Digital Systems. Techniques for the analysis and design of combinational and sequential networks via manual and automated methods. Introduction to hardware description languages. Introduction to simple computer systems, including their lower-level architecture, assembly language programming, and computer arithmetic. Lab stresses simulation of target circuits and physical realization with both discrete and high-complexity programmable components. Final design project. Prerequisite: Engineering 110L, and either Electrical and Computer Engineering 110L or Biomedical Engineering 253L. Instructor: Board, Dwyer, or Sorin. One course. 270L. Introduction to Electromagnetic Fields. Fundamentals and application of transmission lines and electromagnetic fields and waves, antennas, field sensing, and signal transmission. Transmission line transients and digital signal transmission; transmission lines in sinusoidal steady state, impedance transformation, and impedance matching; electrostatics and magnetostatics, including capacitance and inductance; electromagnetic waves in uniform media and their interaction with interfaces; antennas and antenna arrays. Alternating laboratories and recitations. Laboratory experiments include transmission line transients, impedance matching, static and dynamic electromagnetic fields, and antennas. Prerequisites: Engineering 110L, Mathematics 216 and either Electrical and Computer Engineering 110L or Biomedical Engineering 253L. Instructor: Carin, Cummer, Joines, Liu, or Smith. One course. 280L. Introduction to Signals and Systems. Continuous and discrete signal representation and classification; system classification and response; transfer functions. Fourier series; Fourier, Laplace, and z transforms. Applications to Integrated Sensing and Information Processing; networks, modulation, sampling, filtering, and digital signal processing. Laboratory projects using digital signal processing hardware and microcontrollers. Computational solutions of problems using Matlab and Maple. Prerequisite: Engineering 110L, and either Electrical and Computer Engineering 110L or Biomedical Engineering 253L. Instructor: Collins, Gustafson, or Huettel. One course. 311. Thermal Physics. Thermal properties of matter treated using the basic concepts of entropy, temperature, chemical potential, partition function, and free energy. Topics include the laws of thermodynamics, ideal gases, thermal radiation and electrical noise, heat engines, Fermi-Dirac and Bose-Einstein distributions, semiconductor

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statistics, kinetic theory, and phase transformations. Also taught as Physics 363. Prerequisites: Mathematics 212 or equivalent and Physics 51L, 152L or equivalent. Instructor: Staff. One course. 330. Fundamentals of Microelectronic Devices. Fundamentals of semiconductor physics and modeling (semiconductor doping technology, carrier concentrations, carrier transport by drift and diffusion, temperature effects, semiconductor device models). Principles of semiconductor device analysis (current-voltage and capacitance-voltage characteristics). Static and dynamic operation of semiconductor contacts, PN junction diodes, MOS capacitors, MOS field-effect transistors (MOSFETs), and bipolar-junction transistors (BJTs). SPICE models and parameter extraction. Prerequisite: Electrical and Computer Engineering 230L. Instructor: Massoud. One course. 331L. Introduction to Electronics: Integrated Circuits. Analysis and design of electronic circuits in bipolar and MOS technologies, with emphasis on both large-signal and small-signal methods. Circuits for logic gates, latches, and memories. Single-stage and multistage amplifiers and op amps. Circuits with feedback, including stability and frequency response considerations. Analog and mixed analog/digital circuit applications. Extensive use of SPICE for circuit simulation. Prerequisite: Electrical and Computer Engineering 230L. Instructor: Derby, Dwyer, or Fair. One course. 340. Optics and Photonics. NS One course. C-L: see Physics 320; also C-L: Visual and Media Studies 325 350. Introduction to Computer Architecture. Architecture and organization of digital computer systems. Processor operation, computer arithmetic, instruction set design. Assembly language programming. Selected hardware and software exercises culminating in the design, simulation, and implementation in FPGA technology of the major components of a complete computer system. Not open to students who have taken Computer Science 250. Prerequisite: Electrical and Computer Engineering 250L and Computer Science 100E. Instructor: Board or Sorin. One course. C-L: Information Science and Information Studies, Modeling Biological Systems 353. Introduction to Operating Systems. Basic concepts and principles of multiprogrammed operating systems. Processes, interprocess communication, CPU scheduling, mutual exclusion, deadlocks, memory management, I/O devices, file systems, protection mechanisms. Also taught as Computer Science 210. Prerequisites: Computer Science 201 and 250. Instructor: Chase or Ellis. One course. 356. Computer Network Architecture. The architecture of computer communication networks and the hardware and software required to implement the protocols that define the architecture. Basic communication theory, transmission technology, private and common carrier facilities. International standards. Satellite communications and local area networks. Performance analysis and modeling of communication networks. Prerequisite: Electrical and Computer Engineering 250L. Instructor: Chakrabarty. One course. C-L: Information Science and Information Studies 363L. Electric Vehicle Project. Analysis, design, and construction of electrical and mechanical components found in electric vehicles. Traction motors, controllers, batteries and chargers, and metering. Hybrid and fuel cell vehicle systems. Project includes building electrical devices and wiring of traction, control, lighting, and other components along with construction of adapters and devices necessary for the conversion of a vehicle to electric drive. Prerequisite: Physics 152L, Electrical and Computer Engineering 110L or Engineering 224L. Instructor: Klenk. One course. C-L: Mechanical Engineering and Materials Science 463 381. Fundamentals of Digital Signal Processing. An introduction to theory and applications of digital signal processing. Concepts, analytical tools and design techniques to process signals in digital form. Signal sampling and reconstruction, discrete-time transforms including the z-transform, discrete-time Fourier transform, and discrete Fourier transform. Discrete systems including the analysis and design of FIR and IIR filters. Introduction to applications of digital signal processing such as image processing, and optimal detection of signals in noise. Discrete system simulations using MATLAB. Prerequisite: Electrical and Computer Engineering 280L and Statistical Science 130 or Mathematics 230 or Electrical and Computer Engineering 555 or permission of instructor. Instructor: Huettel or Nolte. One course. C-L: Modeling Biological Systems 382. Linear Control Systems. Analysis and design of feedback control systems. Block diagram and signal flow graph system models. Servomechanism characteristics, steady-state errors, sensitivity to parameter variations and disturbance signals. Time domain performance specifications. Stability. Root locus, Nyquist, and Bode analysis; design of compensation circuits; closed loop frequency response determination. Introduction to time domain analysis and design. Prerequisite: Electrical and Computer Engineering 280L or consent of instructor. Instructor: Gustafson. One course. 383. Introduction to Robotics and Automation. Fundamental notions in robotics, basic configurations of manipulator arm design, coordinate transformations, control functions, and robot programming. Applications of

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artificial intelligence, machine vision, force/torque, touch and other sensory subsystems. Design for automatic assembly concepts, tools, and techniques. Application of automated and robotic assembly costs, benefits, and economic justification. Selected laboratory and programming assignments. Prerequisites: Electrical and Computer Engineering 280L. Instructor: Janet. One course. C-L: Mechanical Engineering and Materials Science 442, Information Science and Information Studies 384LA. Sound in the Sea: Introduction to Marine Bioacoustics. NS, R, STS One course. C-L: see Environment 280LA; also C-L: Earth and Ocean Sciences 280LA, Marine Sciences, Marine Science and Conservation 391. Undergraduate Research in Electrical and Computer Engineering. For juniors only. Half course or one course each. Instructor: Staff. Variable credit. 392. Undergraduate Research in Electrical and Computer Engineering. For juniors only. Half course or one course each. Instructor: Staff. Variable credit. 449. Opto-Electronic Design Projects. Teams of students design an opto-electronic board-level system to a published specification. The system is built, tested, and compared to the design specifications. Optical, analog, digital, and radio frequency (RF) components are used to complete the projects. Group tasks include resource planning and management using GANTT charts, project budgeting, estimating product Bill of Materials costs, background study of the standard specification and component characteristics, testing of an evaluation board, interaction with component vendors, design of the team's board, submission of that design to a quick-turnaround board fabrication foundry, assembly of the purchased components onto the fabricated board, and board-level system test. The opto-electric board design incorporates considerations such as cost, economic viability, environmental impact, ethical issues, manufacturability, and social and political impact. Prerequisite: Senior standing in Electrical and Computer Engineering or Electrical and Computer Engineering 340, 162L, or 331L. Instructor: Brooke, Jokerst. One course. 459. Introduction to Embedded Systems. An introduction to hardware/software codesign of embedded computer systems. Structured programming techniques for high and low level programs. Hardware interfacing strategies for sensors, actuators, and displays. Detailed study of Motorola 68HC11 and 68HC12 microcomputers as applied to embedded system development. Hardware and simulation laboratory exercises with 68HC11 and 68HC12 development boards. Major design project. Prerequisite: Electrical and Computer Engineering 350 or equivalent and consent of instructor. Instructor: Board. One course. C-L: Modeling Biological Systems 483. Introduction to Digital Communication Systems. Introduction to the design and analysis of modern digital communication systems. Communication channel characterization. Baseband and passband modulation techniques. Optimal demodulation techniques with performance comparisons. Key information-theoretic concepts including entropy and channel capacity. Channel-coding techniques based on block, convolutional and Trellis codes. Equalization techniques. Applications to design of digital telephone modems, compact discs and digital wireless communication systems. Prerequisite: Electrical and Computer Engineering 280L and Statistical Science 130 or equivalent. Instructor: Krolik. One course. 486. Wireless Communication Systems. Fundamentals of wireless system analysis and design; channel assignment, handoffs, trunking efficiency, interference, frequency reuse and capacity planning. Path loss models including large and small scale, multipath interference, diffraction, and scattering. Signal manipulation and conditioning including modulation/demodulation, equalization and speech coding. Air interference standards and multiple access techniques including CDMA, TDMA and OFDM. Prerequisites: Electrical and Computer Engineering 280L and one of Statistical Science 130, Electrical and Computer Engineering 555 or Mathematics 230. Instructor: Ybarra. One course. 488. Digital Image and Multidimensional Processing. Introduction to the theory and methods of digital image and video sampling, denoising, coding, reconstruction, and analysis. Both linear methods (such as 2- and 3-D Fourier analysis) and non-linear methods (such as wavelet analysis). Key topics include segmentation, interpolation, registration, noise removal, edge enhancement, halftoning and inverse halftoning, deblurring, tomographic reconstruction, superresolution, compression, and feature extraction. While this course covers techniques used in a wide variety of contexts, it places a strong emphasis on medical imaging applications. Prerequisites: Electrical and Computer Engineering 280L and Statistical Science 130 or Mathematics 230 or Electrical and Computer Engineering 555 or permission of instructor. Instructor: Willett. One course. C-L: Information Science and Information Studies, Modeling Biological Systems 493. Undergraduate Research in Electrical and Computer Engineering. For seniors only. Half course or one course each. Instructor: Staff. Variable credit.

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494. Undergraduate Research in Electrical and Computer Engineering. For seniors only. Half course or one course each. Instructor: Staff. Variable credit. 495. Special Topics in Electrical and Computer Engineering. Study of selected topics in electrical engineering tailored to fit the requirements of a small group. Consent of instructor and director of undergraduate studies required. Half course or one course each. Instructor: Staff. Variable credit. 496. Special Topics in Electrical and Computer Engineering. Study of selected topics in electrical engineering tailored to fit the requirements of a small group. Consent of instructor and director of undergraduate studies required. Half course or one course each. Instructor: Staff. Variable credit. 521. Quantum Mechanics. Discussion of wave mechanics including elementary applications, free particle dynamics, Schrödinger equation including treatment of systems with exact solutions, and approximate methods for time-dependent quantum mechanical systems with emphasis on quantum phenomena underlying solid-state electronics and physics. Prerequisite: Mathematics 216 or equivalent. Instructor: Brady, Brown, or Stiff-Roberts. One course. 522. Introduction to Micro-Electromechanical Systems (MEMS). Design, simulation, fabrication, and characterization of micro-electromechanical systems (MEMS) devices. Integration of non-conventional devices into functional systems. Principles of fabrication, mechanics in micrometer scale, transducers and actuators, and issues in system design and integration. Topics presented in the context of example systems. Lab covers design, simulation, and realization of MEMS devices using commercially available foundry process. Prerequisite: Electrical and Computer Engineering 230L or Mechanical Engineering 344L or equivalent. Instructor: Kim. One course. 523. Quantum Information Science. NS Fundamental concepts and progress in quantum information science. Quantum circuits, quantum universality theorem, quantum algorithms, quantum operations and quantum error correction codes, fault-tolerant architectures, security in quantum communications, quantum key distribution, physical systems for realizing quantum logic, quantum repeaters and long-distance quantum communication. Prerequisites: Electrical and Computer Engineering 521 or Physics 464 or equivalent. Instructor: Kim. One course. C-L: Physics 627 524. Introduction to Solid-State Physics. Discussion of solid-state phenomena including crystalline structures, X-ray and particle diffraction in crystals, lattice dynamics, free electron theory of metals, energy bands, and superconductivity, with emphasis on understanding electrical and optical properties of solids. Prerequisite: quantum physics at the level of Physics 264L or Electrical and Computer Engineering 521. Instructor: Teitsworth. One course. 525. Semiconductor Physics. A quantitative treatment of the physical processes that underlie semiconductor device operation. Topics include band theory and conduction phenomena; equilibrium and nonequilibrium charge carrier distributions; charge generation, injection, and recombination; drift and diffusion processes. Prerequisite: Electrical and Computer Engineering 330 or consent of instructor. Instructor: Staff. One course. 526. Semiconductor Devices for Integrated Circuits. Basic semiconductor properties (energy-band structure, effective density of states, effective masses, carrier statistics, and carrier concentrations). Electron and hole behavior in semiconductors (generation, recombination, drift, diffusion, tunneling, and basic semiconductor equations). Current-voltage, capacitance-voltage, and static and dynamic models of PN Junctions, Schottky barriers, Metal/Semiconductor Contacts, Bipolar-Junction Transistors, MOS Capacitors, MOS-Gated Diodes, and MOS Field-Effect Transistors. SPICE models and model parameters. Prerequisites: Electrical and Computer Engineering 330. Instructor: Massoud. One course. 527. Analog Integrated Circuits. Analysis and design of bipolar and CMOS analog integrated circuits. SPICE device models and circuit macromodels. Classical operational amplifier structures, current feedback amplifiers, and building blocks for analog signal processing, including operational transconductance amplifiers and current conveyors. Biasing issues, gain and bandwidth, compensation, and noise. Influence of technology and device structure on circuit performance. Extensive use of industry-standard CAD tools, such as Analog Workbench. Prerequisite: Electrical and Computer Engineering 526. Instructor: Richards. One course. 528. Integrated Circuit Engineering. Basic processing techniques and layout technology for integrated circuits. Photolithography, diffusion, oxidation, ion implantation, and metallization. Design, fabrication, and testing of integrated circuits. Prerequisite: Electrical and Computer Engineering 330 or 331L. Instructor: Fair. One course. 529. Digital Integrated Circuits. Analysis and design of digital integrated circuits. IC technology. Switching characteristics and power consumption in MOS devices, bipolar devices, and interconnects. Analysis of digital circuits implemented in NMOS, CMOS, TTL, ECL, and BiCMOS. Propagation delay modeling. Analysis of logic (inverters, gates) and memory (SRAM, DRAM) circuits. Influence of technology and device structure on

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performance and reliability of digital ICs. SPICE modeling. Prerequisites: Electrical and Computer Engineering 330 and 331L. Instructor: Massoud. One course. 531. Advanced Topics in Electrical and Computer Engineering. Opportunity for study of advanced subjects in electrical and computer engineering. Instructor: Staff. 532. Analog Integrated Circuit Design. Design and layout of CMOS analog integrated circuits. Qualitative review of the theory of pn junctions, bipolar and MOS devices, and large and small signal models. Emphasis on MOS technology. Continuous time operational amplifiers. Frequency response, stability and compensation. Complex analog subsystems including phase-locked loops, A/D and D/A converters, switched capacitor simulation, layout, extraction, verification, and MATLAB modeling. Projects make extensive use of full custom VLSI CAD software. Prerequisite: Electrical and Computer Engineering 330 or 331L. Instructor: Morizio. One course. 534. CAD For Mixed-Signal Circuits. The course focuses on various aspects of design automation for mixed-signal circuits. Circuit simulation methods including graph-based circuit representation, automated derivation and solving of nodal equations, and DC analysis, test automation approaches including test equipments, test generation, fault simulation, and built-in-self-test, and automated circuit synthesis including architecture generation, circuit synthesis, tack generation, placement and routing are the major topics. The course will have one major project, 4-6 homework assignments, one midterm, and one final. Prerequisites: Electrical and Computer Engineering 331L. Permission of instructor required. Instructor: Staff. One course. 536. Synthesis and Verification of VLSI Systems. Algorithms and CAD tools for VLSI synthesis and design verification, logic synthesis, multi-level logic optimization, high-level synthesis, logic simulation, timing analysis, formal verification. Prerequisite: Electrical and Computer Engineering 250L or equivalent. Instructor: Chakrabarty. One course. 537. Radiofrequency (RF) Transceiver Design. Design of wireless radiofrequency transceivers. Analog and digital modulation, digital modulation schemes, system level design for receiver and transmitter path, wireless communication standards and determining system parameters for standard compliance, fundamentals of synthesizer design, and circuit level design of low-noise amplifiers and mixers. Prerequisites: Electrical and Computer Engineering 280L and Electrical and Computer Engineering 331L or equivalent. Instructor: Staff. One course. 538. VLSI System Testing. Fault modeling, fault simulation, test generation algorithms, testability measures, design for testability, scan design, built-in self-test, system-on-a-chip testing, memory testing. Prerequisite: Electrical and Computer Engineering 250L or equivalent. Instructor: Chakrabarty. One course. 539. CMOS VLSI Design Methodologies. Emphasis on full-custom chip design. Extensive use of CAD tools for IC design, simulation, and layout verification. Techniques for designing high-speed, low-power, and easily-testable circuits. Semester design project: Groups of four students design and simulate a simple custom IC using Mentor Graphics CAD tools. Teams and project scope are multidisciplinary; each team includes students with interests in several of the following areas: analog design, digital design, computer science, computer engineering, signal processing, biomedical engineering, electronics, photonics. A formal project proposal, a written project report, and a formal project presentation are also required. The chip design incorporates considerations such as cost, economic viability, environmental impact, ethical issues, manufacturability, and social and political impact. Prerequisites: Electrical and Computer Engineering 250L and Electrical and Computer Engineering 331L. Some background in computer organization is helpful but not required. Instructor: Chakrabarty. One course. 545. Nanophotonics. Theory and applications of nanophotonics and sub-wavelength optics. Photonic crystals, near-field optics, surface-plasmon optics, microcavities, and nanoscale light emitters. Prerequisite: Electrical and Computer Engineering 270L or equivalent. Instructor: Yoshie. One course. 546. Optoelectronic Devices. Devices for conversion of electrons to photons and photons to electrons. Optical processes in semiconductors: absorption, spontaneous emission and stimulated emission. Light-emitting diodes (LEDs), semiconductor lasers, quantum-well emitters, photodetectors, modulators and optical fiber networks. Prerequisite: Electrical and Computer Engineering 526 or equivalent. Instructor: Stiff-Roberts. One course. 552. Advanced Computer Architecture I. QS, R One course. C-L: see Computer Science 550; also C-L: Modeling Biological Systems 554. Fault-Tolerant and Testable Computer Systems. Technological reasons for faults, fault models, information redundancy, spatial redundancy, backward and forward error recovery, fault-tolerant hardware and software, modeling and analysis, testing, and design for test. Prerequisite: Electrical and Computer Engineering 350 or equivalent. Instructor: Sorin. One course. C-L: Computer Science 554

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555. Probability for Electrical and Computer Engineers. Basic concepts and techniques used stochastic modeling of systems with applications to performance and reliability of computer and communications system. Elements of probability, random variables (discrete and continuous), expectation, conditional distributions, stochastic processes, discrete and continuous time Markov chains, introduction to queuing systems and networks. Prerequisite: Mathematics 216. Instructor: Trivedi. One course. C-L: Computer Science 555, Information Science and Information Studies, Modeling Biological Systems 556. Wireless Networking and Mobile Computing. Theory, design, and implementation of mobile wireless networking systems. Fundamentals of wireless networking and key research challenges. Students review pertinent journal papers. Significant, semester-long research project. Networking protocols (Physical and MAC, multi-hop routing, wireless TCP, applications), mobility management, security, and sensor networking. Prerequisites: Electrical and Computer Engineering 356 or Computer Science 310. Instructor: Roy Choudhury. One course. C-L: Computer Science 515 557. Performance and Reliability of Computer Networks. Methods for performance and reliability analysis of local area networks as well as wide area networks. Probabilistic analysis using Markov models, stochastic Petri nets, queuing networks, and hierarchical models. Statistical analysis of measured data and optimization of network structures. Prerequisites: Electrical and Computer Engineering 356 and 555. Instructor: Trivedi. One course. C-L: Information Science and Information Studies 558. Computer Networks and Distributed Systems. QS, R One course. C-L: see Computer Science 514 559. Advanced Digital System Design. This course covers the fundamentals of advanced digital system design, and the use of a hardware description language, VHDL, for their synthesis and simulation. Examples of systems considered include the arithmetic/logic unit, memory, and microcontrollers. The course includes an appropriate capstone design project that incorporates engineering standards and realistic constraints in the outcome of the design process. Additionally, the designer must consider most of the following: Cost, environmental impact, manufacturability, health and safety, ethics, social and political impact. Each design project is executed by a team of 4 or 5 students who are responsible for generating a final written project report and making an appropriate presentation of their results to the class. Prerequisite: Electrical and Computer Engineering 250L and Senior/graduate student standing. Instructor: Derby. One course. 571. Electromagnetic Theory. The classical theory of Maxwell's equations; electrostatics, magnetostatics, boundary value problems including numerical solutions, currents and their interactions, and force and energy relations. Three class sessions. Prerequisite: Electrical and Computer Engineering 270L. Instructor: Carin, Joines, Liu, or Smith. One course. 572. Electromagnetic Communication Systems. Review of fundamental laws of Maxwell, Gauss, Ampere, and Faraday. Elements of waveguide propagation and antenna radiation. Analysis of antenna arrays by images. Determination of gain, loss, and noise temperature parameters for terrestrial and satellite electromagnetic communication systems. Prerequisite: Electrical and Computer Engineering 270L or 571. Instructor: Joines. One course. 573. Optical Communication Systems. Mathematical methods, physical ideas, and device concepts of optoelectronics. Maxwell's equations, and definitions of energy density and power flow. Transmission and reflection of plane waves at interfaces. Optical resonators, waveguides, fibers, and detectors are also presented. Prerequisite: Electrical and Computer Engineering 270L or equivalent. Instructor: Joines. One course. 574. Waves in Matter. Analysis of wave phenomena that occur in materials based on fundamental formulations for electromagnetic and elastic waves. Examples from these and other classes of waves are used to demonstrate general wave phenomena such as dispersion, anisotropy, and causality; phase, group, and energy propagation velocities and directions; propagation and excitation of surface waves; propagation in inhomogeneous media; and nonlinearity and instability. Applications that exploit these wave phenomena in general sensing applications are explored. Prerequisites: Electrical and Computer Engineering 270L. Instructor: Cummer. One course. 575. Microwave Electronic Circuits. Microwave circuit analysis and design techniques. Properties of planar transmission lines for integrated circuits. Matrix and computer-aided methods for analysis and design of circuit components. Analysis and design of input, output, and interstage networks for microwave transistor amplifiers and oscillators. Topics on stability, noise, and signal distortion. Prerequisite: Electrical and Computer Engineering 270L or equivalent. Instructor: Joines. One course. 577. Computational Electromagnetics. Systematic discussion of useful numerical methods in computational electromagnetics including integral equation techniques and differential equation techniques, both in the frequency and time domains. Hands-on experience with numerical techniques, including the method of moments, finite

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element and finite-difference time-domain methods, and modern high order and spectral domain methods. Prerequisite: Electrical and Computer Engineering 571 or consent of instructor. Instructor: Carin or Liu. One course. 578S. Inverse Problems in Electromagnetics and Acoustics. Systematic discussion of practical inverse problems in electromagnetics and acoustics. Hands-on experience with numerical solution of inverse problems, both linear and nonlinear in nature. Comprehensive study includes: discrete linear and nonlinear inverse methods, origin and solution of nonuniqueness, tomography, wave-equation based linear inverse methods, and nonlinear inverse scattering methods. Assignments are project oriented using MATLAB. Prerequisites: Graduate level acoustics or electromagnetics (Electrical and Computer Engineering 571), or consent of instructor. Instructor: Liu. One course. 581. Random Signals and Noise. Introduction to mathematical methods of describing and analyzing random signals and noise. Review of basic probability theory; joint, conditional, and marginal distributions; random processes. Time and ensemble averages, correlation, and power spectra. Optimum linear smoothing and predicting filters. Introduction to optimum signal detection, parameter estimation, and statistical signal processing. Prerequisite: Mathematics 230 or Statistical Science 130. Instructor: Collins or Nolte. One course. 582. Digital Signal Processing. Introduction to fundamental algorithms used to process digital signals. Basic discrete time system theory, the discrete Fourier transform, the FFT algorithm, linear filtering using the FFT, linear production and the Wierner filter, adaptive filters and applications, the LMS algorithm and its convergence, recursive least-squares filters, nonparametric and parametric power spectrum estimation minimum variance and eigenanalysis algorithms for spectrum estimation. Prerequisite: Electrical and Computer Engineering 581 or equivalent with consent of the instructor. Instructor: Collins, Krolik, Nolte, Tantum, or Willett. One course. One course. 584. Acoustics and Hearing (GE, IM). One course. C-L: see Biomedical Engineering 545 585. Signal Detection and Extraction Theory. Introduction to signal detection and information extraction theory from a statistical decision theory viewpoint. Subject areas covered within the context of a digital environment are decision theory, detection and estimation of known and random signals in noise, estimation of parameters and adaptive recursive digital filtering, and decision processes with finite memory. Applications to problems in communication theory. Prerequisite: Electrical and Computer Engineering 581 or consent of instructor. Instructor: Nolte. One course. 587. Information Theory. This class provides an introduction to information theory. The student is introduced to entropy, mutual information, relative entropy and differential entropy, and these topics are connected to practical problems in communications, compression, and inference. The class is appropriate for beginning graduate students who have a good background in undergraduate electrical engineering, computer science or math. Instructor: Carin. One course. 590. Advanced Topics in Electrical and Computer Engineering. Opportunity for study of advanced subjects related to programs within the electrical and computer engineering department tailored to fit the requirements of a small group. Instructor: Staff. One course. 652. Advanced Computer Architecture II. QS One course. C-L: see Computer Science 650; also C-L: Modeling Biological Systems 675. Optical Imaging and Spectroscopy. Wave and coherence models for propagation and optical system analysis. Fourier optics and sampling theory. Focal plane arrays. Generalized and compressive sampling. Impulse response, modulation transfer function and instrument function analysis of imaging and spectroscopy. Code design for optical measurement. Dispersive and interferometric spectroscopy and spectral imaging. Performance metrics in optical imagine systems. Prerequisite: Electrical and Computer Engineering 270L and 280L. Instructor: Brady. One course. 676. Lens Design. Paraxial and computational ray tracing. Merit functions. Wave and chromatic aberrations. Lenses in photography, microscopy and telescopy. Spectrograph design. Emerging trends in lens system design, including multiple aperture and catadioptric designs and nonimaging design for solar energy collection. Design project management. Each student must propose and complete a design study, including a written project report and a formal design review. Prerequisite: Electrical and Computer Engineering 340 or 274. Instructor: Brady. 3 units. One course. 681. Pattern Classification and Recognition Technology. Theory and practice of recognition technology: pattern classification, pattern recognition, automatic computer decision-making algorithms. Applications covered include medical diseases, severe weather, industrial parts, biometrics, bioinformation, animal behavior patterns, image processing, and human visual systems. Perception as an integral component of intelligent systems. This course prepares students for advanced study of data fusion, data mining, knowledge base construction, problem-solving methodologies of "intelligent agents" and the design of intelligent control systems. Prerequisites: Mathematics 216,

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Statistical Science 130 or Mathematics 230, Computer Science 101, or consent of instructor. Instructor: Collins or P. Wang. One course. 683. Digital Communication Systems. Digital modulation techniques. Coding theory. Transmission over bandwidth constrained channels. Signal fading and multipath effects. Spread spectrum. Optical transmission techniques. Prerequisite: Electrical and Computer Engineering 581 or consent of instructor. Instructor: Staff. One course. 686. Adaptive Filters. Adaptive digital signal processing with emphasis on the theory and design of finite-impulse response adaptive filters. Stationary discrete-time stochastic processes, Wiener filter theory, the method of steepest descent, adaptive transverse filters using gradient-vector estimation, analysis of the LMS algorithm, least-squares methods, recursive least squares and least squares lattic adaptive filters. Application examples in noise canceling, channel equalization, and array processing. Prerequisites: Electrical and Computer Engineering 581 and 582 or consent of instructor. Instructor: Krolik. One course. 688. Sensor Array Signal Processing. An in-depth treatment of the fundamental concepts, theory, and practice of sensor array processing of signals carried by propagating waves. Topics include: multidimensional frequency-domain representations of space-time signals and linear systems; apertures and sampling of space-time signals; beamforming and filtering in the space-time and frequency domains, discrete random fields; adaptive beamforming methods; high resolution spatial spectral estimation; optimal detection, estimation, and performance bounds for sensor arrays; wave propagation models used in sensor array processing; blind beamforming and source separation methods; multiple-input-multiple-output (MIMO) array processing; application examples from radar, sonar, and communications systems. Instructor: Staff. One course. 722. Quantum Electronics. Quantum theory of light-matter interaction. Laser physics (electron oscillator model, rate equations, gain, lasing condition, oscillation dynamics, modulation) and nonlinear optics (electro-optic effect, second harmonic generation, phase matching, optical parametric oscillation and amplification, third-order nonlinearity, optical bistability.) Prerequisite Electrical and Computer Engineering 521, Physics 464, or equivalent. Instructors: Stiff-Roberts or Yoshie. One course. One course. THE MAJOR

The requirements for the Electrical and Computer Engineering (ECE) major are included in the minimum total of 34 courses listed under the general requirements and departmental requirements. The program of study must include an approved engineering design course taken in the junior or senior year of the program.

Mechanical Engineering and Materials Science (ME) Professor Dowell, Chair; Associate Professor Bliss, Director of Undergraduate Studies; Professors Bejan, Cocks, Dowell, Garg, Hall, Marszalek, Needham, Shaughnessy, Tan, and Virgin; Associate Professors Bliss, Curtarolo, Ferrari, Howle, Knight, Mann, Zauscher, and Zhong; Assistant Professors Chen, Hotz, Protz, Yellen, and Zhao; Professor of the Practice Franzoni; Associate Research Professor Tang; Assistant Research Professors Simmons and Thomas; Senior Research Scientist Kielb; Adjunct Professor Lorente, Twiss; Adjunct Assistant Professor Stepp

A major in mechanical engineering is available in this department. The mechanical engineering program is accredited by the Engineering Accreditation Commission of the Accreditation Board for Engineering and Technology.4

Mechanical engineers are concerned with the optimum use of materials, energy, time, and individual effort to serve societal needs through the design of machines, structures, and mechanical and thermal systems, and through better understanding of dynamic processes involving these systems. They have a wide involvement in many industries including aerospace, biomechanical and biomedical engineering, construction, electronics, manufacturing, national defense, power generation, and transportation. Within these industries, the engineer might specialize in the design, analysis, automation, operation, or marketing of systems or services. The individual's contribution may lie anywhere in the spectrum from highly theoretical to imminently practical, and often involves leadership as an engineering manager or organization executive.

Because mechanical engineers in industry and research engage in such a great variety of activities, their education must be broadly based. Although individual engineers may specialize within their industry positions or in graduate study, each must have the background needed to contribute in any of several technical areas, to combine knowledge of multiple topics when necessary, and to interact with members of other disciplines and professions in

4Engineering Accreditation Commission of the Accreditation Board for Engineering and Technology (ABET) 111 Market Place, Suite 1050, Baltimore, MD 21202, telephone (410)347-7700

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accomplishing broad goals. Thus the mechanical engineer's program of study must include fundamental grounding in mathematics and basic sciences, applications in several engineering sciences, and team-based experience in the process of design, where theory is applied in the context of real needs and limitations and where judgment must be exercised. Furthermore, to be a responsible member of the engineering profession, each graduate must be aware of social, ethical, environmental, and economic factors and constraints on engineering activity, and must understand the importance of these matters in a global context.

With these considerations in mind, the educational objectives of the undergraduate mechanical engineering program are to graduate students who:

• identify and address significant needs and challenges in engineering and society, and effectively communicate solutions

• advance in professional careers that may encompass a broad range of endeavors, both technical and non-technical

• exhibit intellectual depth and creativity in employment, advanced education, and research• uphold high ethical standards and show a commitment to the betterment of society through service and

professional workThe curriculum capitalizes on the exceptional abilities of our highly select students to cultivate the learning,

thinking, and problem-solving abilities needed to adapt, to develop, and to exercise responsible leadership through times of rapid change. The program provides firm preparation in the essential engineering topics while allowing wide flexibility for students to pursue their own specialized interests. 221L. Structure and Properties of Solids. Introduction to materials science and engineering, emphasizing the relationships between the structure of a solid and its properties. Atomic and molecular origins of electrical, mechanical, and chemical behavior are treated in some detail for metals, alloys, polymers, ceramics, glasses, and composite materials. Prerequisites: Chemistry 20, 21, or 101DL and Engineering 201L or Biomedical Engineering 110L. Instructor: Curtarolo, Lazarides, Simmons, or Zauscher. One course. 307. Transport Phenomena in Biological Systems (AC or GE, BB). One course. C-L: see Biomedical Engineering 307; also C-L: Civil and Environmental Engineering 307, Modeling Biological Systems 321L. Mechanical Engineering Analysis for Design. Calculation of 3D stresses, strains, and deflections encountered in mechanical designs. Types of problems include: curved beams, contact stresses, press/shrink fits, etc. Reliability and uncertainty analysis, failure theories, fatigue, and fracture mechanics. Computational methods of analysis, such as finite elements analysis are covered. Prerequisites: Engineering 121L, 201L, 244L, and Mathematics 353. Instructor: Franzoni, Howle, Laursen, Zhao. One course. 331L. Thermodynamics. The principal laws of thermodynamics for open and closed systems and their application in engineering. Properties of the pure substance, relationships among properties, mixtures and reactions. Power and refrigeration cycle analysis. Prerequisite: Mathematics 212 and Physics 151L. Instructor: Bejan, Marszalek, or Tan. One course. 336L. Fluid Mechanics. An introductory course emphasizing the application of the principles of conservation of mass, momentum, and energy in a fluid system. Physical properties of fluids, dimensional analysis and similitude, viscous effects and integral boundary layer theory, subsonic and supersonic flows, normal shockwaves. Selected laboratory work. Prerequisites: Engineering 244L and Mechanical Engineering 331L, Co-requisite or prerequisite: Mathematics 353. Instructor: Bliss, Howle, Knight, Shaughnessy, or Zhong. One course. 344L. Control of Dynamic Systems. Model dynamic systems and characterize time and frequency domain response with respect to particular inputs. Characterize systems in terms of rise-time, settling-time and bandwidth. Identify the difference between stable and unstable system. Apply feedback control to modify the response of dynamic systems based upon specified design objectives. Develop methods of designing compensators for single-input, single-output, and multiple-input, multiple-output dynamic systems based upon classical and modern control approaches. Introduce optimal control theory, the linear quadratic regulator (LQR) problem, and the linear quadratic Gaussian (LQG) problem. Gain a physical understanding of what can be accomplished with feedback control in modifying the dynamics of a system. Pre-requisite: Engineering 224L and Mathematics 216. Instructor: Ferrari, Garg. One course. 391. Undergraduate Projects in Mechanical Engineering. Individual projects arranged in consultation with a faculty member. Open to students who show special aptitude for research and design. Taught in the Fall. Consent of director of undergraduate studies. Instructor: Staff. Variable credit.

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392. Undergraduate Projects in Mechanical Engineering. Individual projects arranged in consultation with a faculty member. Open to students who show special aptitude for research and design. Taught in the Spring. Consent of director of undergraduate studies. Instructor: Staff. Variable credit. 394. Engineering Undergraduate Fellows Projects. Intensive research project in Mechanical Engineering by students selected as Engineering Undergraduate Fellows. Course credit is contingent upon satisfactory completion of 493 and 494. Consent of instructor and program director required. Instructor: Staff. One course. 415L. Failure Analysis and Prevention. A study and analysis of the causes of failure in engineering materials and the diagnosis of those causes. Elimination of failures through proper material selection, treatment, and use. Case histories. Examination of fracture surfaces. Laboratory investigations of different failure mechanisms. Prerequisites: Engineering 201L and Mechanical Engineering 221L. Instructor: Cocks. One course. 416. Experimental Materials Science. Exposure to experimental methods used in the preparation and evaluation of alloys, intermetallic compounds, crystals, and ceramics. Extensive work with x-ray diffraction and scanning electron microscopy methods. Includes vacuum and arc melting processes. Instructor: Cocks. One course. 421L. Mechanical Design. A study of practical aspects of mechanical design including conceptualization, specifications, and selection of mechanical elements. The design and application of mechanical components such as gears, cams, bearings, springs, and shafts. Practice in application of process through design projects. Prerequisite: Engineering 244L and Mechanical Engineering 321L. Instructor: Franzoni, Howle, or Knight. One course. 424L. Mechanical Systems Design. An integrative design course addressing both creative and practical aspects of the design of systems. Development of the creative design process, including problem formulation and needs analysis, feasibility, legal, economic and human factors, aesthetics, safety, synthesis of alternatives, and design optimization. Application of design methods through several projects including a term design project. Prerequisites: Mechanical Engineering 344L, 421L, and 431L. Instructor: Kielb or Knight. One course. 425. Analytical and Computational Solid Mechanics. One course. C-L: Civil and Environmental Engineering 425, Modeling Biological Systems 431L. Heat and Mass Transfer. A rigorous development of the laws of mass and energy transport as applied to a continuum. Energy transfer by conduction, convection, and radiation. Free and forced convection across boundary layers. Application to heat exchangers. Selected laboratory work. Prerequisites: Mechanical Engineering 331L, Mechanical Engineering 336L, and Mathematics 353 Instructor: Chen, Howle, Knight, or Protz. One course. 438. Constructal Theory and Design. Flow configuration in nature and engineering emerges from the constructal law of increase of flow access in time, when the flow system is endowed with freedom to morph. The course brings together the basic principles of fluid mechanics, heat transfer and thermodynamics, and teaches how to generate (to 'discover') shape and structure for energy flow systems. The course teaches design as science, and presents a paradigm that is applicable across the board, from engineering to biology, geophysics and social dynamics. Instructor: Bejan and Lorente. One course. 442. Introduction to Robotics and Automation. One course. C-L: see Electrical and Computer Engineering 383; also C-L: Information Science and Information Studies 445. Introduction to Vibrations. Mechanical vibrations are studied primarily with emphasis on application of analytical and computational methods to machine design and vibration control problems. A single degree-of-freedom system is use to determine free vibration characteristics and response to impulse, harmonic and periodic excitations. The study of two and three degree-of-freedom systems includes the determination of the ecigenvalues and ecigenvectors, and introduction to modal analysis. The finite element method is used to conduct basic vibration analysis of systems with a large number of degrees of freedom. The student learns how to balance rotating machines, and how to design suspension systems, isolation systems, vibration sensors, and tuned vibration absorbers. Prerequisite: Mechanical Engineering 344L. Instructor: Kielb. One course. 453. Patent Technology and Law. The use of patents as a technological data base is emphasized including information retrieval in selected engineering disciplines. Fundamentals of patent law and patent office procedures. Consent of instructor required. Instructor: Cocks. One course. 461. Energy Engineering and the Environment. Efficiencies of both new and established energy sources and conversion methods. Evaluation of alternative energy technologies by statistical information and by modeling using principals of fluid mechanics, thermodynamics and heat transfer. Electricity generation by fossil fuels, nuclear, solar, wind and hydro. Space heating and cooling by traditional methods and by solar. Transportation energy in automobiles, mass transit and freight. Environmental consequences of energy choices on local, national and global

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scales, including toxic emissions, greenhouse gases and resource depletion. Prerequisite: Mechanical Engineering 331L Thermodynamics. Instructors: Cocks and Knight. One course. C-L: Energy and the Environment 462. Power Generation. Basic concepts of thermodynamics, heat transfer, and fluid flow applied to power generation processes. Nuclear reaction theory and reactor technology; fossil fuel combustion theory and modern boiler practice. Power plant ancillary equipment and processes. Design considerations and analyses include economic and environmental factors. Instructor: Staff. One course. 463. Electric Vehicle Project. One course. C-L: see Electrical and Computer Engineering 363L 472. Aircraft Performance. Brief overview of the aerodynamics of wings and bodies including profile and induced drag, performance of propellers and internal combustion and gas turbine power plants; the power curve and implications on the performance of the aircraft in steady-state and accelerated flight included power required, airspeeds to fly, takeoff and landing performance, performance of aircraft in turning flight; introduction to the conceptual design of new aircraft. Co-requisite: Mechanical Engineering 126. Instructor: Hall or staff. One course. 474. Jet and Rocket Propulsion. Performance and characteristics of rocket engines and aircraft gas turbine engines as determined by thermodynamic and fluid mechanic behavior of components: turbomachinery, combustion, nozzles and inlets, material limitations. Liquid, solid, and hybrid rockets. Turbojet, turbofan, and turboprop gas turbines. Applications to space launch vehicles and jet aircraft. Prerequisites: Mechanical Engineering 331L, Mechanical Engineering 336L. Instructor: Protz or staff. One course. 490. Special Topics in Mechanical Engineering. Study arranged on a special engineering topic in which the faculty has particular interest and competence as a result of research and professional activities. Consent of instructor and director of undergraduate studies required. Half or one course. Instructor: Staff. Variable credit. 491. Special Projects in Mechanical Engineering. Individual projects arranged in consultation with a faculty member. Open only to seniors enrolled in the graduation with distinction program or showing special aptitude for research. Half course to two courses. To be taught in the Fall. Prerequisites: B average and consent of the director of undergraduate studies. Instructor: Staff. Variable credit. 492. Special Projects in Mechanical Engineering. Individual projects arranged in consultation with a faculty member. Open only to seniors enrolled in the graduation with distinction program or showing special aptitude for research. Half course to two courses. To be taught in the Spring. Prerequisites: B average and consent of the director of undergraduate studies. Instructor: Staff. Variable credit. 493. Engineering Undergraduate Fellows Projects. Continuation course for Engineering Undergraduate Fellows, contingent upon satisfactory completion of 394. Consent required. Instructor: Staff. One course. 494. Engineering Undergraduate Fellows Projects. Final continuation course for Engineering Undergraduate Fellows, contingent upon satisfactory completion of 394 and 493. Consent required. Instructor: Staff. One course. 499. Undergraduate Research Seminar Series. For students enrolled in senior-level undergraduate research. Intended for those pursuing Graduation with Departmental Distinction. Course will give students an opportunity to present research results to their peers and faculty in mechanical engineering throughout the semester, as well as provide exposure to the research of other mechanical engineering seniors. 0.0 Credit. S/U. Permission of Instructor. 512. Thermodynamics of Electronic Materials. Basic thermodynamic concepts applied to solid state materials with emphasis on technologically relevant electronic materials such as silicon and GaAs. Thermodynamic functions, phase diagrams, solubilities and thermal equilibrium concentrations of point defects; nonequilibrium processes and the kinetic phenomena of diffusion, precipitation, and growth. Instructor: Tan. One course. 514. Theoretical and Applied Polymer Science (GE, BB). An intermediate course in soft condensed matter physics dealing with the structure and properties of polymers and biopolymers. Introduction to polymer syntheses based on chemical reaction kinetics, polymer characterization. Emphasizes (bio)polymers on surfaces and interfaces in aqueous environments, interactions of (bio)polymer surfaces, including wetting and adhension phenomena. Instructor: Zauscher. One course. C-L: Biomedical Engineering 529 515. Electronic Materials. An advanced course in materials science and engineering dealing with materials important for solid-state electronics and the various semiconductors. Emphasis on thermodynamic concepts and on defects in these materials. Materials preparation and modification methods for technological defects in these materials. Prerequisite: Mechanical Engineering 221L. Instructor: Curtarold or Tan. One course. 517. Electromagnetic Processes in Fluids. Electromagnetic processes and transport phenomena in fluids is overviewed. Topics to be discussed include: Maxwell's equations, statistical thermodynamic processes, origin of surface forces (i.e.Van der Waals), plasma in gases and electrolyte distribution, wave propagation near boundaries and in complex media, transport equations in continuum limit. Consent of instructor required. Instructor: Yellen.

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518. Biomedical Materials and Artificial Organs (GE, BB). One course. C-L: see Biomedical Engineering 525 519. Soft Wet Materials and Interfaces. The materials science and engineering of soft wet materials and interfaces. Emphasis on the relationships between composition, structure, properties and performance of macromolecules, self assembling colloidal systems, linear polymers and hydrogels in aqueous and nonaqueous liquid media, including the role of water as an ''organizing'' solvent. Applications of these materials in biotechnology, medical technology, microelectronic technology, and nature's own designs of biological materials. Instructor: Needham. One course. 524. Introduction to the Finite Element Method. One course. C-L: Civil and Environmental Engineering 530 525. Nonlinear Finite Element Analysis. One course. C-L: Civil and Environmental Engineering 630 527. Buckling of Engineering Structures. One course. C-L: Civil and Environmental Engineering 647 531. Engineering Thermodynamics. Axiomatic formulations of the first and second laws. General thermodynamic relationships and properties of real substances. Energy, availability, and second law analysis of energy conversion processes. Reaction and multiphase equilibrium. Power generation. Low temperature refrigeration and the third law of thermodynamics. Thermodynamic design. Instructor: Bejan or Hotz. One course. 532. Convective Heat Transfer. Models and equations for fluid motion, the general energy equation, and transport properties. Exact, approximate, and boundary layer solutions for laminar flow heat transfer problems. Use of the principle of similarity and analogy in the solution of turbulent flow heat transfer. Two-phase flow, nucleation, boiling, and condensation heat and mass transfer. Instructor: Bejan. One course. 533. Fundamentals of Heat Conduction. Fourier heat conduction. Solution methods including separation of variables, transform calculus, complex variables. Green's function will be introduced to solve transient and steady-state heat conduction problems in rectangular, cylindrical, and spherical coordinates. Microscopic heat conduction mechanisms, thermophysical properties, Boltzmann transport equation. Prerequisite: Mathematics 111 or consent of instructor. Instructor: Bejan. One course. 534. Fundamentals of Thermal Radiation. Radiative properties of materials, radiation-materials interaction and radiative energy transfer. Emphasis on fundamental concepts including energy levels and electromagnetic waves as well as analytical methods for calculating radiative properties and radiation transfer in absorbing, emitting, and scattering media. Applications cover laser-material interactions in addition to traditional areas such as combustion and thermal insulation. Prerequisite: Mathematics 353 or consent of instructor. Instructor: Staff. One course. 536. Compressible Fluid Flow. Basic concepts of the flow of gases from the subsonic to the hypersonic regime. One-dimensional wave motion, the acoustic equations, and waves of finite amplitude. Effects of area change, friction, heat transfer, and shock on one-dimensional flow. Moving and oblique shock waves and Prandtl-Meyer expansion. Prerequisite: Mechanical Engineering 126 or equivalent. Instructor: Shaughnessy. One course. 537. Mechanics of Viscous Fluids. Equations of motion for a viscous fluid, constitutive equations for momentum and energy transfer obtained from second-law considerations, general properties and exact solutions of the Navier-Stokes and Stokes (creeping-flow) equations, applications to problems of blood flow in large and small vessels. Prerequisite: Mechanical Engineering 126 or equivalent. Instructor: Staff. One course. 541. Intermediate Dynamics: Dynamics of Very High Dimensional Systems. Dynamics of very high dimensional systems. Linear and nonlinear dynamics of a string as a prototypical example. Equations of motion of a nonlinear beam with tension. Convergence of a modal series. Self-adjoint and non-self-adjoint systems. Orthogonality of modes. Nonlinear normal modes. Derivation of Lagrange's equations from Hamilton's Principle including the effects of constraints. Normal forms of kinetic and potential energy. Component modal analysis. Asymptotic modal analysis. Instructor: Dowell or Hall. One course. C-L: Civil and Environmental Engineering 625 542. Modern Control and Dynamic Systems. Dynamic modeling of complex linear and nonlinear physical systems involving the storage and transfer of matter and energy. Unified treatment of active and passive mechanical, electrical, and fluid systems. State-space formulation of physical systems. Time and frequency-domain representation. Controllability and observability concepts. System response using analytical and computational techniques. Lyapunov method for system stability. Modification of system characteristics using feedback control and compensation. Emphasis on application of techniques to physical systems. Instructor: Garg. One course. 543. Energy Flow and Wave Propagation in Elastic Solids. Derivation of equations for wave motion in simple structural shapes: strings, longitudinal rods, beams and membranes, plates and shells. Solution techniques, analysis of systems behavior. Topics covered include: nondispersive and dispersive waves, multiple wave types (dilational, distortion), group velocity, impedance concepts including driving point impedances and moment impedances. Power

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and energy for different cases of wave propagation. Prerequisites: Engineering 244L and Mathematics 353 or consent of instructor. Instructor: Franzoni. One course. C-L: Civil and Environmental Engineering 626 544. Advanced Mechanical Vibrations. Advanced mechanical vibrations are studied primarily with emphasis on application of analytical and computational methods to machine design and vibration control problems. Equations of motion are developed using Lagrange's equations. A single degree-of-freedom system is used to determine free vibration characteristics and response to impulse, harmonic periodic excitations, and random. The study of two and three degree-of-freedom systems includes the determination of the eigenvalues and eigenvectors, and an in-depth study of modal analysis methods. The finite element method is used to conduct basic vibration analysis of systems with a large number of degrees of freedom. The student learns how to balance rotating machines, and how to design suspension systems, isolation systems, vibration sensors, and tuned vibration absorbers. Instructor: Kielb. One course. 545. Robot Control and Automation. Review of kinematics and dynamics of robotic devices; mechanical considerations in design of automated systems and processes, hydraulic and pneumatic control of components and circuits; stability analysis of robots involving nonlinearities; robotic sensors and interfacing; flexible manufacturing; man-machine interaction and safety consideration. Prerequisites: Mechanical Engineering 542 or equivalent and consent of instructor. Instructor: Garg. One course. 546. Intelligent Systems. An introductory course on learning and intelligent-systems techniques for the modeling and control of dynamical systems. Review of theoretical foundations in dynamical systems, and in static and dynamic optimization. Numerical methods and paradigms that exploit learning and optimization in order to deal with complexity, nonlinearity, and uncertainty. Investigation of theory and algorithms for neural networks, graphical models, and genetic algorithms. Interdisciplinary applications and demonstrations drawn from engineering and computer science, including but not limited to adaptive control, estimation, robot motion and sensor planning. Prerequisites: Mathematics 216 or 111. Consent of instructor required. Instructor: Ferrari. One course. 548. Multivariable Control. One course. C-L: Civil and Environmental Engineering 648 555. Advanced Topics in Mechanical Engineering. Opportunity for study of advanced subjects related to programs within mechanical engineering tailored to fit the requirements of a small group. Approval of director of undergraduate or graduate studies required. Instructor: Staff. Variable credit. 571. Aerodynamics. Fundamentals of aerodynamics applied to wings and bodies in subsonic and supersonic flow. Basic principles of fluid mechanics analytical methods for aerodynamic analysis. Two-and three-dimensional wing theory, slender-body theory, lifting surface methods, vortex and wave drag. Brief introduction to vehicle design, performance and dynamics. Special topics such as unsteady aerodynamics, vortex wake behavior, and propeller and rotor aerodynamics. This course is open only to undergraduate seniors and graduate students. Prerequisites: Mechanical Engineering 126 and Mathematics 353 or equivalent. Instructor: Bliss. One course. 572. Engineering Acoustics. Fundamentals of acoustics including sound generation, propagation, reflection, absorption, and scattering. Emphasis on basic principles and analytical methods in the description of wave motion and the characterization of sound fields. Applications including topics from noise control, sound reproduction, architectural acoustics, and aerodynamic noise. Occasional classroom or laboratory demonstration. This course is open only to undergraduate seniors and graduate students. Prerequisites: Mathematics 353 or equivalent or consent of instructor. Instructor: Bliss. One course. 626. Plates and Shells. One course. C-L: Civil and Environmental Engineering 646 631. Intermediate Fluid Mechanics. A survey of the principal concepts and equations of fluid mechanics, fluid statics, surface tension, the Eulerian and Lagrangian description, kinematics, Reynolds transport theorem, the differential and integral equations of motion, constitutive equations for a Newtonian fluid, the Navier-Stokes equations, and boundary conditions on velocity and stress at material interfaces. Instructor: Shaughnessy. One course. 632. Advanced Fluid Mechanics. Flow of a uniform incompressible viscous fluid. Exact solutions to the Navier-Stokes equation. Similarity methods. Irrotational flow theory and its applications. Elements of boundary layer theory. Prerequisite: Mechanical Engineering 631 or consent of instructor. Instructor: Shaughnessy. One course. 633. Lubrication. Derivation and application of the basic governing equations for lubrication; the Reynolds equation and energy equation for thin films. Analytical and computational solutions to the governing equations. Analysis and design of hydrostatic and hydrodynamic slider bearings and journal bearings. Introduction to the effects of fluid inertia and compressibility. Dynamic characteristics of a fluid film and effects of bearing design on dynamics of machinery. Prerequisites: Mathematics 353 and Mechanical Engineering 336L. Instructor: Knight. One course.

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639. Computational Fluid Mechanics and Heat Transfer. An exposition of numerical techniques commonly used for the solution of partial differential equations encountered in engineering physics. Finite-difference schemes (which are well-suited for fluid mechanics problems); notions of accuracy, conservation, consistency, stability, and convergence. Recent applications of weighted residuals methods (Galerkin), finite-element methods, and grid generation techniques. Through specific examples, the student is guided to construct and assess the performance of the numerical scheme selected for the particular type of transport equation (parabolic, elliptic, or hyperbolic). Instructor: Howle. One course. C-L: Modeling Biological Systems 643. Adaptive Structures: Dynamics and Control. Integration of structural dynamics, linear systems theory, signal processing, transduction device dynamics, and control theory for modeling and design of adaptive structures. Classical and modern control approaches applied to reverberant plants. Fundamentals of adaptive feedforward control and its integration with feedback control. Presentation of a methodical design approach to adaptive systems and structures with emphasis on the physics of the system. Numerous MATLAB examples provided with course material as well as classroom and laboratory demonstrations. Instructor: Staff. One course. 668. Cellular and Biosurface Engineering. A combination of fundamental concepts in materials science, colloids, and interfaces that form a basis for characterizing: the physical properties of biopolymers, microparticles, artificial membranes, biological membranes, and cells; and the interactions of these materials at biofluid interfaces. Definition of the subject as a coherent discipline and application of its fundamental concepts to biology, medicine, and biotechnology. Prerequisite: Mechanical Engineering 208 or consent of instructor. Instructor: Needham. One course. 671. Advanced Aerodynamics. Advanced topics in aerodynamics. Conformal transformation techniques. Three-dimensional wing theory, optimal span loading for planar and nonplanar wings. Ground effect and tunnel corrections. Propeller theory. Slender wing theory and slender body theory, transonic and supersonic area rules for minimization of wave drag. Numerical methods in aerodynamics including source panel and vortex lattice methods. Prerequisite: Mechanical Engineering 571. Instructor: Hall. One course. 672. Unsteady Aerodynamics. Analytical and numerical methods for computing the unsteady aerodynamic behavior of airfoils and wings. Small disturbance approximation to the full potential equation. Unsteady vortex dynamics. Kelvin impulse and apparent mass concepts applied to unsteady flows. Two-dimensional unsteady thin airfoil theory. Time domain and frequency domain analyses of unsteady flows. Three-dimensional unsteady wing theory. Introduction to unsteady aerodynamic behavior of turbomachinery. Prerequisite: Mechanical Engineering 571. Instructor: Hall. One course.