HERIOT-WATT UNIVERSITY · Web viewMATHEMATICS SCHOOL OF MATHEMATICAL AND COMPUTER SCIENCES Information Guide for Students for the Session 2004-2005 KEEP FOR FUTURE REFERENCE Contents

HERIOT-WATT UNIVERSITYMATHEMATICS

SCHOOL OF MATHEMATICAL AND COMPUTER SCIENCES

Information Guide for Students for the Session 2004-2005

KEEP FOR FUTURE REFERENCE

Contents

1. Introduction..............................................................................................................................31.1 This Guide.........................................................................................................................31.2 Departmental Aims............................................................................................................31.3 Other Sources of Information.............................................................................................3

2. General Information..................................................................................................................42.1 Lectures and Tutorials........................................................................................................42.2 Teaching, Revision and Exam Weeks.................................................................................42.3 Attendance.........................................................................................................................42.4 Calculators in Examinations...............................................................................................52.5 Careers Advisory Service...................................................................................................5

3. Mathematics Degrees and their Modular Structure.....................................................................63.1 Mathematics Degrees Offered.............................................................................................63.2 The Module System...........................................................................................................63.3 Personal Development Planning.........................................................................................73.4 Transfer Between Courses and Modules.............................................................................73.5 Common Assessment and Progression System (CAPS)......................................................73.6 Resitting Modules..............................................................................................................8

4. Departmental Support Structures...............................................................................................94.1 Mentors..............................................................................................................................94.2 Year Directors of Study......................................................................................................94.3 Staff-Student Committee....................................................................................................94.4 The Head of Department...................................................................................................10

5. Communication within the Department...................................................................................115.1 Your Responsibilities.......................................................................................................115.2 How We Will Contact You...............................................................................................115.3 Computing Facilities........................................................................................................11

6. First Year Course Information.................................................................................................126.1 General Information about First Year................................................................................126.2 First Year Modules...........................................................................................................126.3 First Year Module Summaries..........................................................................................136.4 Assessment, Exams and Progress to Year 2......................................................................14

7. Second Year Course Information.............................................................................................157.1 General Information about Second Year...........................................................................157.2 Second Year Modules.......................................................................................................157.3 Second Year Module Summaries......................................................................................167.4 Assessment, Exams and Progress to Year 3......................................................................17

8. Third Year Course Information................................................................................................188.1 General Information about Third Year..............................................................................188.2 Third Year Modules.........................................................................................................188.3 Third Year Module Summaries.........................................................................................198.4 Assessment and Exams.....................................................................................................20

9. Fourth Year Course Information..............................................................................................219.1 General Information about Fourth Year............................................................................219.2 Fourth Year Courses.........................................................................................................219.3 Examinations...................................................................................................................229.4 Classification of Honours Degrees....................................................................................22

10. Staff and How to Contact Them...........................................................................................2411. Course Structures For All Mathematics Courses...................................................................25

11.1 B.Sc. in Mathematics (Hons.) (F111) / General Maths (Ord.) (F112)................................2611.2 B.Sc. in Mathematics (Hons.) (F141) / General Maths (Ord.) (F142) with Physics............2811.3 B.Sc. in Mathematics (Hons.) (F151) / General Maths (Ord.) (F152) with Economics.......3011.4 B.Sc. in Mathematics (Hons.) (F161) / General Maths (Ord.) (F162) with Education.......3211.5 B.Sc. in Mathematics (Hons.) (F181) / General Maths (Ord.) (F182) with Computer Science........3411.6 B.Sc. in Mathematics (Hons.) (F191) with a European Language.....................................3611.7 B.Sc. in Mathematics (Hons.) (F1A1) / General Maths (Ord.) (F1A2) with Statistics........3811.8 B.Sc. in Mathematics (Hons.) (F1B1) / General Maths (Ord.) (F1B2) with Finance..........4011.9 B.Sc. in Mathematics (Hons.) (F1C1) / General Maths (Ord.) (F1C2) with Management...42

12. Appendix A: Other Course Options......................................................................................4413. Appendix B: Equal Opportunities and Race Equality Policies..............................................45

1 INTRODUCTION 3

1. Introduction

1.1 This GuideThese notes have been prepared primarily for the guidance of students in the Department of Mathematics, part of the School of Mathematical and Computer Sciences. The Department is currently located in the Scott Russell (SR) Building. Important: it is anticipated that the Department will move during the current academic year to the new Colin Maclaurin (CM) Building. Room and office numbers in this guide generally will not apply after the move but the Department will keep you informed of the relevant changes.

The guide provides an outline of courses taught by the Department and gives a summary of University and Departmental regulations. While we try to make this guide as accurate as possible, you should note that the detailed University and Department regulations take precedence over this guide.

1.2 Departmental AimsThe Department of Mathematics has a very broad mission in the University, comprising undergraduate education for mathematics students, service mathematics education, research and graduate education, and various outreach programmes. Each year, over one thousand students study a course taught by the Mathematics Department.

The goals of the Department of Mathematics are to deliver the highest quality teaching of mathematics to all students who take classes in mathematics, and, through its research, to contribute to the advancement of mathematics and its applications. In the teaching assessment in Scotland we were rated “highly satisfactory” (the second highest rating) while in the UK Research Assessment Exercise we were rated “5”, the top grade for Applied Mathematics in Scotland.

For our mathematics students, the aim of the curriculum is to ensure that our graduates have a sound knowledge of mathematics so that they can successfully pursue careers in industry, commerce, education and scientific research.

We offer honours and ordinary degrees in mathematics and also in mathematics combined with a variety of subjects. These subjects are currently: physics, economics, education, computer science, European language, statistics, finance, and management. More details are given below in Section 3.1.

1.3 Other Sources of InformationFurther information concerning University regulations and policies is available from the Academic Registry (http://www.hw.ac.uk/registry/). Information about mathematics modules and course structure is also available online at http://www.ma.hw.ac.uk/maths/ug/

2 GENERAL INFORMATION 4

2. General Information

2.1 Lectures and TutorialsClasses in mathematics are either lectures or tutorials. A lecture consists mainly of listening, understanding and making notes of the topics being taught. Tutorials will give you an opportunity to ask questions about material which you have not understood, and to find out how to solve problems which you were unable to do on the examples sheets which are given out in lectures.

Classes begin at 9.20 a.m., 10.20 a.m. etc. and are scheduled so that students can change rooms if necessary for the start of the next class.

If you have problems after reading your notes and attempting the tutorial examples, please ask for help. You should do this at the tutorial classes or by going to see the lecturer teaching the course. To avoid fruitless searches you can make an appointment at the end of a lecture or a tutorial. Lecturers can also be contacted via the secretaries in the Departmental Office, SR3.19A or by e-mail (addresses in Section 10).

2.2 Teaching, Revision and Exam WeeksThe academic year consists of 30 weeks divided into three 10-week terms. Each term students study four modules. In the first and second year there will normally be eight weeks teaching followed by one week of revision with an examination in the last week of term. Some courses (e.g. Languages) have opted for one examination at the end of the academic year. For such courses, a student can choose to exit the module at the end of any term in which case an end of term examination will be set so that the appropriate credit can be obtained. A student wishing to do this should notify their Mentor by week 7 of the module.

For third year mathematics modules, there are examinations in December and June. For fourth year mathematics modules, all examinations are held in June.

Detailed exam timetables are posted on the departmental notice board and on the main University notice board in the entrance complex.

2.3 AttendanceIn order to satisfy the course requirements in each module, a satisfactory record of attendance at lectures and tutorials is required and course work must be handed in by the stipulated dates. Students who, in the opinion of the Head of Department, fail to satisfy these requirements for any of the modules for which they are registered may, after due warning, be disallowed from presenting themselves for examination in those modules. In this case they will be deemed to have failed those modules.

Students with medical and other problems which cause them to miss classes for more than a few days, or which are likely to affect their exam performance should inform their mentor as soon as possible. Self-certification is required for periods of incapacity from work of four days or less, and a doctor's certificate is required for longer periods. Doctor's certificates are essential when illness causes absence from examinations.

Self-certification forms should be collected from the Departmental Office. Self and Doctor's Certificates should be submitted to the Departmental Office, room SR3.19A

2 GENERAL INFORMATION 5

2.4 Calculators in ExaminationsIn this time of increasing complexity of computational/communication devices, and in order to ensure that there is a level playing field for all students, only the following types of calculators are allowed in examinations:

Casio fx-85WA Casio fx-85MSStudents must supply their own calculators and these may be purchased from the campus shop.

Students are not allowed to have mobile phones or other communication devices on their persons or at their desks during examinations. Mobile phones may be left at the front of the examination room but must be left switched off.

2.5 Careers Advisory ServiceThe Careers Advisory Service provides high quality careers guidance, education and information services to Heriot-Watt students and graduates. It delivers these through class based group sessions, a dedicated web site http://www.hw.ac.uk/careers, a well-equipped information room, drop-in query sessions, and individual appointments.

The service facilitates the employment of Heriot-Watt students and graduates by advertising vacancies, arranging and publicising employer presentations and an annual Careers Fair.

In addition to providing comprehensive information on all aspects of careers, from part-time work to job seeking in the graduate labour market, they also run practical sessions that include Producing an Effective CV, Preparing for Interview and Practice Aptitude Tests. Nick Thow is the Careers Adviser with responsibility for students in Mathematics. You can find the Careers Service in Admin 2, located next to the Sports Centre. The Service is open 1000 – 1700 Monday to Thursday; Fridays 1000 – 1600.

3 DEPARTMENTAL SUPPORT STRUCTURES 6

3. Mathematics Degrees and their Modular Structure

3.1 Mathematics Degrees OfferedA full listing of the mathematics degrees on offer is given here.

Honours DegreesCode TitleF111 Degree of B.Sc. in MathematicsF141 Degree of B.Sc. in Mathematics with PhysicsF151 Degree of B.Sc. in Mathematics with EconomicsF161 Degree of B.Sc. in Mathematics with EducationF181 Degree of B.Sc. in Mathematics with Computer ScienceF191 Degree of B.Sc. in Mathematics with a European LanguageF1A1 Degree of B.Sc. in Mathematics with StatisticsF1B1 Degree of B.Sc. in Mathematics with FinanceF1C1 Degree of B.Sc. in Mathematics with Management

Ordinary DegreesCode TitleF112 Degree of B.Sc. in General MathematicsF142 Degree of B.Sc. in General Mathematics with PhysicsF152 Degree of B.Sc. in General Mathematics with EconomicsF162 Degree of B.Sc. in General Mathematics with EducationF182 Degree of B.Sc. in General Mathematics with Computer ScienceF1A2 Degree of B.Sc. in General Mathematics with StatisticsF1B2 Degree of B.Sc. in General Mathematics with FinanceF1C2 Degree of B.Sc. in General Mathematics with Management

Study for an honours degree normally takes four years and for an ordinary degree three years. Honours degrees are classified into first class, upper second (2.1), lower second (2.2) and third class. An ordinary degree may be awarded at the end of the fourth year of the honours degree if the average mark is below 40% (see Section 9.4). The general structure of each year of the courses is outlined in Sections 6-9 of this guide.

3.2 The Module SystemA credit-based modular system is the common structure of degree courses offered by the University. Normally students study 4 modules per term giving a total of 12 modules per year.

This system has a number of advantages for students. Each module is of equal length so that we can ensure that all students have a reasonable workload. By having shorter courses, students are examined on smaller amounts of material more frequently, thus giving them a better indication of how they are progressing. For some degrees, modules increase the flexibility of course choice.


The assessment may be by written examination or by continuous assessment or by a mixture of the two methods. Further information on assessment methods can be found in the year sections in this booklet.

From October 2003 the Heriot-Watt module scheme is compliant with the Scottish Credit and Qualifications Framework (SCQF). Each Heriot-Watt module is regarded as requiring 100 hours of student effort and is worth 10 SCQF credits. Thus in each year of full-time study a student should accumulate 120 credits.

The University has a policy of Accreditation of Prior Learning so that suitably qualified candidates may be accepted for direct entry onto the second or third year of a degree course. Such candidates will be credited, on entry, with the equivalent of one or two years’ module passes (respectively) towards their degree based on their previous attainment.

Credit transfers between institutions are now easier since all Scottish universities operate within this common scheme.

3.3 Personal Development PlanningThis year further elements of Personal Development Planning (PDP) are being introduced into the Mathematics Programme. The main objectives of PDP are to enable you to

Improve your employability rating and your effectiveness as a career planner Understand more fully what and how you are learning Review, plan and take responsibility for your own development

In particular Year 1 students will periodically complete questionnaires in which they will reflect

on their own progress and development. A Professional Development module (F12MT3) taught in conjunction with the

Careers Advisory Service has been introduced into year 2 The Careers Advisory Service will make presentations to students in years 1,3 and 4

3.4 Transfer Between Courses and ModulesIf you want to change any of the modules for which you are registered, then see your mentor or the year Director of Studies.

Transfer between the various degree courses is possible under certain circumstances; for example, at the beginning of the second and third years, students studying one of the joint degrees may switch to the Degree of B.Sc. in Mathematics. In addition we have a common first year for the joint degrees of Mathematics with Economics, Finance, or Management enabling students to switch between these degrees at any time up to the start of second year. At some stages in your course it might also be possible to transfer to the Department of Combined Studies to study a broader range of subjects.

3.5 Common Assessment and Progression System (CAPS)Assessment at Heriot-Watt is based on the CAPS (Common Assessment and Progression System). Traditionally we used a %-based system with a pass-mark set at 40%. In CAPS your exam result for each module will be presented in the form of a letter grade (A - F) where

A= approximately 70% - 100%B = approximately 60% - 70%C = approximately 50% - 60%D= approximately 40% - 50%


An ‘E’ grade will indicate a mark of somewhat less than 40% and is awarded when you have done enough to be given credit points in the subject but you have not done enough to be allowed to study the same topic at a higher level. Thus an ‘E’ should be considered as a rather unsatisfactory pass; an ‘F’ indicates a fail for which no credit points are given towards your degree. In general in order to be allowed to proceed to the next year of an Honours course you will need to obtain passes in all modules with at least 9 of these passes at ‘D’ or better. It should be stressed, however, that 9 D’s and 3 E’s is very much the minimal level acceptable. If you hope to flourish in the later years of an Honours course you should be aiming for ‘C’ passes or better in all modules in earlier years. More details about progression are given in the information about the various years later in this guide

3.6 Resitting ModulesIf you do not pass a module at the first attempt you are entitled to a further attempt in late August or early September at the diet of resit exams; continuous assessment work carried out during the original course is not counted in the resit mark. Resits in year 3 exams do not count towards the classification of your Honours degree. In this case the resit allows you to gain the credits required for the award of a degree, but the original exam mark is used to determine the degree classification (see also Section 9.4). There are no resits in year 4 exams.

If you fail modules (or do not obtain a sufficient number of D passes) in earlier years, success in resit examinations is vital for progress. You must be available for such examinations,

i.e., IF YOU DO NOT PERFORM SUFFICIENTLY WELL IN EXAMINATIONS DURING THE YEAR, DO NOT BOOK HOLIDAYS OR ASSUME WORK COMMITMENTS DURING THE RESIT PERIOD.


4. Departmental Support Structures

4.1 MentorsYou will be allocated a mentor when you arrive in the University and, normally, you will retain the same mentor while you are registered in the Department. The mentor/student relationship serves various functions:

At the beginning of the session you register for courses and choose classes with the help of your mentor and, at the same time, you also provide personal information such as term and home addresses and telephone numbers. Your mentor should be informed of any changes to your chosen course or in your personal information so that our records can be kept up to date.

Your mentor is usually the person in the department who knows you and your work best and so is well placed to provide job (and other) references when the time comes.

If you have personal problems the mentor can often help with a sympathetic chat or by putting you in touch with the appropriate University support service (Medical Centre, Accommodation and Welfare, Students Union or Chaplaincy).

It is important that you see your mentor regularly. We have a Departmental requirement that students should see their mentors at the start of each term but more frequent meetings are often appropriate. These meetings serve two purposes. They enable the Department to keep an eye on how you are doing and, just as important, they allow the personal side of the mentor/student relationship to develop. These meetings are particularly important in first year. Mentors will also provide help in the reflection process of Personal Development Planning. The mentor is there to help you - do not hesitate to contact him or her if you need help. (See Section 10.) If you have any difficulty contacting your mentor, the secretaries in the Departmental Office SR3.19A will be pleased to arrange an appointment.

4.2 Year Directors of StudyFor each of the four years of study the department has appointed a Year Director of Studies who has the responsibility of ensuring the overall smooth functioning of that year. The Directors of Study will take an overview of all the material taught to the year, should be aware of difficulties which are occurring in any of the modules, will ensure that continuous assessment is carried out in an appropriate manner and will deal with the collation of examination marks.

Name Room Telephone0131-451-

e-mailZ=ma.hw.ac.uk

1st Year Director of Studies Dr M.A. Youngson 1.05 -3241 M.A.Youngson@Z2nd Year Director of Studies Dr B.P. Rynne 1.01 -3243 B.P.Rynne@Z3rd Year Director of Studies Dr A.R. Prince 2.07 -3232 A.R.Prince@Z4th Year Director of Studies Dr A.R. White G.03 -3222 A.R.White@Z

4.3 Staff-Student CommitteeThe Staff-Student Committee is a forum for notification and discussion of various issues affecting undergraduate courses and provides valuable feedback to the Department. Typical issues raised include organisational problems encountered by students (e.g. too many tutors in some tutorials and not enough in others) and discussion of proposed changes in course structures. It is composed of two student and one staff representative for each year of the


mathematics course. Directors of Studies represent the staff, and the class elects the student representatives. You will be asked to select representatives for this committee early in the first term. The committee meets once each term. Details of the discussion at this Committee are posted along with the other departmental notices on the notice board on the second floor of the Scott Russell Building.

4.4 The Head of DepartmentWe hope that all your problems, both personal and academic, can be resolved with the help of mentors, year Directors of Study and the staff-student committee. If, however, for any reason you find that you cannot resolve a difficulty by these means you should consult with the Head of Department, Professor Des Johnston.

4 COMMUNICATION WITHIN THE DEPARTMENT 11

5. Communication within the Department

5.1 Your Responsibilities So that we can communicate easily with you, and so that we can make sure that you are appropriately registered for modules and examinations it is necessary that you: (i) Notify your mentor about any changes in address or telephone number. (ii) Notify your mentor of any change of course or elective (in fact s/he must arrange for a form to be completed to authorise such a change). (iii) Check your module registration. Around week 3 of each term University Registration will ask you to check that the modules you are studying in that term are those for which you are officially registered - failure to report any errors on the list will lead to a £10 fine by our central administration. (iv) Keep your mentor informed about any illnesses or other problems.

5.2 How We Will Contact You If we have to contact you during term time we will use e-mail and/or the student mailboxes on the second floor of the Mathematics Department. These mailboxes are also used for mail delivered to students c/o the department.

In some circumstances we will also use your term-time address. In emergencies we will use e-mail and/or telephone. Outside term time, we will write to your home address.

As noted in Section 5.1, it is important to let us know of any changes to your term and/or home addresses as soon as possible.

Details of how to contact us by phone, fax, letter and e-mail are given in Section 10.

5.3 Computing FacilitiesAll students are issued with accounts on the PC Caledonia network. E-mail, word-processing, specialist mathematics and statistics packages, and spreadsheet facilities are available on the PC Caledonia network. Computer lab sessions are held in the CALM lab (G13), which is also open for student use when lab sessions are not in progress. Details of how to access PC Caledonia and the use of e-mail are provided to new students, help is also available online at http://www.hw.ac.uk/cenWWW/help/help.html

You are expected to check your e-mail regularly (at least once a week). General announcements from lecturers and specific announcements from mentors will be sent to you by e-mail, and you are responsible for keeping up to date with them.

Students are expected to use the computing facilities in an appropriate and considerate way. Abuse of the facilities is subject to various disciplinary measures, ranging from a ban on access to the facilities to, in extreme and flagrant cases, expulsion from the University. Examples of abuse include monopolising a terminal for non-academic related purposes, running excessively long or inappropriate print jobs, and displaying, circulating or printing offensive material on or from the Internet. Computer games and relay chat are specifically forbidden. Further information on University policy regarding the abuse of computing facilities is available from the Computing Centre.

6 FIRST YEAR COURSE INFORMATION 12

6. First Year Course Information

6.1 General Information about First YearDirector of Studies: Dr M A Youngson, Room 1.05

Each term you have to study four modules (making a total of 12 modules in the year), two of which will be mathematics courses, one a statistics course and one in a subject outside of mathematics.

The two streams of modules in mathematics, algebra and calculus, start a deeper study of two familiar areas of mathematics that will be continued and extended in subsequent years. In the statistics module stream the first module introduces probability theory, the second statistical inference, and the third data analysis together with associated computing, IT and report writing skills.

6.2 First Year Modules

Term Module No. Title Lecturer

1F11MA1F11MB1F71SA1

Algebra 1Calculus 1Statistics 1Option/Joint Degree Subject

N.D. GilbertG.R. McGuireJ. Hansen

2F11MC2F11MD2F71SB2

Algebra 2Calculus 2Statistics 2Option/Joint Degree Subject

M.V. LawsonM.A. YoungsonG. Gibson

3F11ME3F11MF3F71SC3

Algebra 3Math. ModellingStatistics 3Option/Joint Degree Subject

M.V. LawsonA.R. WhiteJ. Phillips + C.J. Boulter

Notes

For some degrees the modules that you take are fixed. e.g. For the Mathematics with Physics degree, the joint degree subject in the table above would be Physics.

Other courses such as the Mathematics Degree allow students to choose from a number of options. Students who need to choose three optional modules should pick them from the same group e.g. Moral and Social Philosophy (C01MS1, C01MT2, C01MU3). It may be possible to switch options at the end of the first or second term but the choice then is likely to be restricted.


6.3 First Year Module SummariesA brief outline for each of the mathematics and statistics modules is given below; a detailed syllabus for each module together with information about textbooks you may wish to read or buy will be handed out at the start of the term in which the module is given.

TERM 1

Algebra 1. Sets and functions, binomial expansion, complex numbers, solution of recurrence relations.

Calculus 1. Limits, differential calculus, applications.

Statistics 1. Probability theory: sample spaces and events, conditional probability, independence of events, discrete random variables, expectations and distributions, joint distributions.

TERM 2

Algebra 2. Algebra of linear systems, matrices, determinants, vectors.

Calculus 2. Integration, solution of first order differential equations, applications.

Statistics 2. Continuous distributions, normal distribution, central limit theorem, sampling distributions and confidence intervals.

TERM 3

Algebra 3. Mathematical reasoning and proof, introduction to algebraic structures.

Mathematical Modelling. Differential equations, modelling through first order equations, kinematics.

Statistics 3. Introduction to statistical computing; data analysis: - descriptive, exploratory and graphical techniques; introduction to computer algebra using MAPLE


6.4 Assessment, Exams and Progress to Year 2 All mathematics and statistics modules (except Statistics 3) are structured similarly; 8

weeks of teaching (7 in term 3) is followed by one week of revision, followed by an exam week (two weeks in term 3). The assessment for Statistics 3 is project based.

All first year mathematics modules have a two-hour examination at the end of the term in which they are taught. 10% of the final mark will come from work carried out during the term.

In general, students passing all 12 modules with 9 passes at ‘D’ or better (at first attempt or at resit) proceed to second year of an Honours course. In addition ‘D’ passes must be obtained to satisfy the prerequisites for the modules you intend to study in year 2. In mathematics and statistics this is quite a minor restriction - all that is required is a ‘D’ pass in one algebra module, in one calculus/mathematical modelling module and in one statistics module. In other subjects studied by students on joint degrees there may be more stringent prerequisite requirements.

Students on the General Mathematics and General Mathematics with Another Subject degrees need to pass at least 10 modules out of 12 with 6 passes at ‘D’ or better (at first attempt or at resit) and obtain D’s in appropriate prerequisites in order to proceed.

Also if a student has not obtained at least an 'E' pass in a module, it is very important that the student takes the resit examination in that module. University Regulations allow Examination Boards to award any student up to two 'discretionary' passes in the course of their careers but only if the student has attempted resit examinations in the modules concerned.

Students who have not passed the required number of modules will receive advice from the First Year Director of Studies.

7 SECOND YEAR COURSE INFORMATION 15

7. Second Year Course Information

7.1 General Information about Second YearDirector of Studies: Dr B.P. Rynne, Room 1.01

Each term you must study a total of four modules. In each term two of these modules are ‘core’ and are studied by all mathematics students. In particular, your knowledge of calculus will be extended by studying functions of several variables in term 1 and by modules in real analysis in terms 2 and 3 in which you will consider in much greater depth than before the basic concepts of calculus. In addition you will learn more about matrices and systems of equations in the term 1 module on linear algebra. In term 2 there is a module on computer-assisted mathematics, and in term 3 there is a professional development module.

The other modules you study in year 2 are dependent upon the degree you are taking. There is a pair of modules on applied mathematics available to most students in terms 2 and 3. If you are on a joint degree one or two modules in each term will be in the appropriate subject area, otherwise you may choose from a list of electives. In the latter case it is important that you take the elective module very seriously; failure in it will lead to a resit examination in August/September before you are allowed into Honours Mathematics in Year 3, even if you have done well in all of your mathematics modules.

Finally a stream of statistics modules that build on the concepts developed in first year is available on many degrees. Two statistics modules are on offer in term 3. Most students will probably choose to study the module F72XB3 (Statistics for the Environment), but if you wish to study statistics in more depth you must choose module F72SF3 (Statistics 6) as this is a prerequisite for more advanced statistics courses.

7.2 Second Year ModulesThe following mathematics modules are available to mathematics students in second year. Individual module choices vary with the degree you have chosen to follow.

Term Module No. Title Lecturer1 F12MG1

F12MH1Multivariable CalculusLinear Algebra

B.P. RynneK.J. Brown

2F12MK2F12ML2F12MR2

Real Analysis 1Computer Assisted MathsMathematics of Motion

B.P. RynneM. LevitinC.J. Boulter

3F12MN3F12MS3F12MT3

Real Analysis 2Oscillations and Waves Professional Development

M. LevitinB.J. SchroersN.D Gilbert, D.A. Johnston and N.W. Thow (Careers)


Notes

Direct entrants to second year of the BSc in Mathematics course may choose as their term 1 elective module F12DE1 ‘Mathematics for Direct Entrants’ aimed at bridging the gap between school and second year mathematics.

For some joint degree courses not all of the above listed mathematics modules will be taken.

7.3 Second Year Module SummariesA brief outline for the mathematics and statistics modules is provided below; a detailed syllabus for each module together with information about textbooks you may wish to read or buy will be handed out at the start of the term in which the module is given.

TERM 1

Multivariable Calculus. Calculus for functions of several variables, i.e., partial derivatives and multiple integrals.

Linear Algebra. Solution of systems of equations; vector spaces, linear independence, basis; linear transformations; eigenvalues and eigenvectors.

Statistics 4. Probability theory, discrete random variables, continuous distributions, joint distributions, inequalities and law of large numbers for random variables.

TERM 2

Real Analysis 1. Introduction to analysis by means of a detailed study of the notion of limit; convergence of sequences; continuity of functions.

Computer Assisted Maths. More advanced use of MAPLE as a computer tool in mathematics; symbolic and numerical calculations; graphical representation. Introduction to the MATLAB numerical analysis, programming and graphics package.

Mathematics of Motion. Newton's laws in one dimension, collisions, rocket motion, planetary orbits, introduction to relativity.

Statistics 5. Statistical modelling and data analysis with practical examples, point estimators, maximum likelihood estimation.


TERM 3

Real Analysis 2. Continuation of Real Analysis 1; applications of analysis to calculus.

Professional Development. Careers in mathematics, report writing and presentational skills.

Oscillations and Waves. Simple harmonic motion, damped and forced oscillations, coupled oscillators, examples and general features of wave motion. Statistics 6. Statistical inference, interval estimation, confidence intervals and hypothesis testing; inference in practice.

Statistics for the Environment. Statistical inference and regression, design and analysis of environmental studies - case studies.

7.4 Assessment, Exams and Progress to Year 3

The Computer Assisted Mathematics module (F12ML2), and Professional Development module (F12MT3) are continuously assessed.

All other second year mathematics modules have a two-hour examination at the end of the term in which they are taught. 15% of the final mark will come from work carried out during the term.

In general, students passing all 12 modules with 9 passes at ‘D’ or better (at first attempt or at resit) proceed to the third year of an Honours course. In addition ‘D’ passes must be obtained to satisfy the prerequisites for the modules you intend to study in year 3. Usually in mathematics these prerequisites are not very stringent - D passes in Multivariable Calculus and Linear Algebra - would satisfy the requirements for the maths options on offer in year 3. In other subjects studied by students on joint degrees there may be more stringent prerequisite requirements.

Students on the General Mathematics and General Mathematics with Another Subject degrees need to have passed at least 22 modules in total over their first two years with 6 passes at ‘D’ or better in year 2 (at first attempt or at resit) and obtain D’s in appropriate prerequisites in order to proceed.

The options for students who have not passed the required number of modules are complicated; they should contact the Second Year Director of Studies for advice.

8 THIRD YEAR COURSE INFORMATION 18

8. Third Year Course Information

8.1 General Information about Third YearDirector of Studies: Dr. A.R. Prince, Room 2.07

The structure of mathematics modules in year three is different from the previous two years, although you continue to study four modules in each term. In the first term, each module has eight weeks of teaching then one week of revision followed by an exam week. In terms 2 and 3 you study double modules that are assessed by a three-hour examination at the end of term 3. As an example, the second term module Algebra and Analysis 1 and the third term module Algebra and Analysis 2 have a single examination at the end of term 3.

It is important to note that the Honours degree assessment is based on examinations held in both the third and fourth years (See Section 9.4 on Classification of Honours Degrees in this guide for more details). All the mathematics modules in third year count towards the degree assessment with a weighting of 40% on third year results and 60% on fourth year. Students on the Mathematics with a European Language degree spend their third year studying abroad, and so there are special arrangements for them.

8.2 Third Year ModulesIndividual module choices vary with the degree you have decided to follow, but the mathematics courses will be chosen from the following modules.

Year 3 Honours Term 1Module No. Title Lecturer

F13YA1 Complex Analysis M.A. YoungsonF13YB1 Applied Mathematical Methods B.J. SchroersF13YC1 Introductory Numerical Analysis G.R. McGuireF13YD1 Number Theory D.E.R. ClarkF13YQ1 Asymptotic Analysis S.J. Malham

Year 3 Honours Terms 2 & 3Module No. Title Lecturer

F13YE2 & F13YK3 Algebra and Analysis 1&2 J. HowieF13YF2 & F13YL3 Mathematical Techniques 1&2 R.A. WestonF13YG2 & F13YM3 Numerical Analysis 1&2 G.J. LordF13YH2 & F13YN3 Discrete Mathematics 1&2 N.D. GilbertF13YJ2 & F13YP3 Applied Mathematics 1&2 A.A. Lacey


Honours DegreesIn general, students on joint degrees take three mathematics and one other module each term and those on the B.Sc. in Mathematics Degree take four mathematics modules from those which have been listed above. In term 1 the modules in Complex Analysis and Applied Maths Methods are compulsory as are the modules in Algebra and Analysis 1&2 and Mathematical Techniques 1&2 in terms 2 and 3. Ordinary DegreesIndividual module choices vary with the degree you have decided to follow, but the mathematics courses are chosen from those listed above. Typically students take three mathematics modules in term 1, and at least two in terms 2 and 3. Students doing a joint degree have one module per term specified in that subject.

The remaining module slots (recall that you study four per term) give you a chance to broaden your knowledge by studying any course for which you have the entry qualification. These include any of the options available to first year students, IT courses and history of science. Discuss this choice with the Third Year Director of Studies.

Past experience suggests that the Algebra and Analysis 1&2 and the Applied Mathematics 1&2 modules are the most demanding of the year 3 courses and so students registered for Ordinary Degrees should think carefully before registering for these modules.

8.3 Third Year Module SummariesA brief outline for each of these mathematics modules is given below; a detailed syllabus for each module together with information about textbooks you may wish to read or buy will be handed out at the start of the term in which the module is given.

TERM 1

Complex Analysis. Analytic functions, Cauchy theorem and integral formula, Taylor series, contour integration and the calculus of residues.

Applied Mathematics Methods. Ordinary differential equations with series and Laplace transform solutions, boundary value problems.

Introductory Numerical Analysis. Introduction to MATLAB, numerical solution of equations, numerical integration, errors and computer arithmetic.

Number Theory. Congruences, modular arithmetic, quadratic residues, prime numbers.

Asymptotic Analysis. Asymptotic methods for solving algebraic equations, approximate evaluations of integrals and solutions of differential equations, introductory modelling. TERMS 2 and 3

Algebra and Analysis 1 & 2. Analysis: metric spaces, convergence, continuity, compactness, completeness, contraction mapping theorem. Algebra: Rings, integral domains, fields, ideals, unique factorisation domains, Euclidean domains.

Mathematical Techniques 1 & 2. Fourier series, partial differential equations, systems of ordinary differential equations, phase planes.


Numerical Analysis 1 & 2. Numerical linear algebra, advanced numerical integration, interpolation. Practical examples using MATLAB.

Discrete Mathematics 1 & 2. Counting arguments, distribution problems, graph theory.

Applied Mathematics 1 & 2. Modelling, derivation of partial differential equations, elementary fluid dynamics, special methods of solution of PDE and fluids problems.

8.4 Assessment and Exams The third year mathematics courses are examined at the end of term 1 (2 hour exam) and

term 3 (3 hour exam). The term 3 exams cover material taught in terms 2 and 3.

The final mark for each course includes 15% from work done during the course (20% in the case of Numerical Analysis modules).

Students are eligible for an Ordinary Core/Joint degree if they pass 32 or more modules out of 36 (recall that there are 12 modules per year), and have attended at least 3 modules outwith the mathematics department in year 3.

Students who reach the end of third year without 32 module passes out of 36 can resit modules to gain enough passes to obtain an Ordinary degree.

Students registered for an Honours degree may choose to leave with an Ordinary degree at the end of third year if they have passed sufficiently many modules.

We review progress of honours degree students after the first term exams in third year, and may advise some students to change to the ordinary degree course then. However, failing a module in December does not necessarily mean that you cannot get an Honours degree.

For Honours maths students, all third level modules taken count towards their final degree assessment. (See Section 9.4 for more details.)

You will be allowed to proceed to the final year of the Honours course if 1. You obtain passes in all year 3 modules and satisfy the prerequisites for all the

modules you will study in year 4. 2. At least 9 of these passes are at ‘D’ or better.3. Your overall average mark is sufficiently good.

If, at the end of the year you have not passed the required number of modules, please see the Third Year Director of Studies for advice.

9 FOURTH YEAR COURSE INFORMATION 21

9. Fourth Year Course Information

9.1 General Information about Fourth YearDirector of Studies: Dr A.R. White, Room G.03

In fourth year we offer a choice from 12 half-year courses: Pure Mathematics 1 and 2, Partial Differential Equations, Optimization, Numerical Analysis 3 and 4, Applied Mathematics 3 and 4, and Special Topics 1, 2, 4 and 5. Each half-course runs over the full ten weeks of term 1 or term 2. Students on the degree of BSc in Mathematics also do a supervised project over terms 2 and 3.

With the exception of the project, or in some degrees where a level 3 module or a module from another department is taken in term 3, the third term is left free for revision in preparation for the examinations at the end of term. The module system plays little part in our final year, but for administrative reasons, each half-course is regarded as a module, and you should register for the appropriate number of ‘revision’ modules in term 3.

9.2 Fourth Year Courses

Year 4 Honours Mathematics Half-coursesModule No. Title Lecturer

F14ZA1 Pure Maths 1 (Automata and formal languages) M.V. LawsonF14ZB1 PDE’s and Optimization 1 (PDE’s) K. KhaninF14ZC1 Numerical Analysis 3 (Numerical solution of ODEs) D.B. DuncanF14ZD1 Applied Maths 3 (Electromagnetism) A.A. LaceyF14ZE1 Special Topics 1 (Functional analysis) M.A. YoungsonF14ZR1 Special Topics 4 (Mathematical biology) A.R. WhiteF14ZF2 Pure Maths 2 (Finite groups) A.R. PrinceF14ZG2 PDE’s and Optimization 2 (Optimization) K. KhaninF14ZH2 Numerical Analysis 4 (Numerical solution of PDEs) J.C. EilbeckF14ZJ2 Applied Maths 4 (Quantum theory and relativity) B.J. SchroersF14ZK2 Special Topics 2 (Differential geometry) D.E.R. ClarkF14ZS2 Special Topics 5 (Fractals and chaos) B.P. Rynne

Year 4 Honours Mathematics Revision Modules (Term 3)Module No. Title Revision for

F14ZL3 Pure Mathematics 3 F14ZA1/ZF2F14ZM3 PDE’s and Optimization 3 F14ZB1/ZG2F14ZN3 Numerical Analysis 5 F14ZC1/ZH2F14ZP3 Applied Mathematics 5 F14ZD1/ZJ2F14ZQ3 Special Topics 3 F14ZE1/ZK2F14ZT3 Special Topics 6 F14ZR1/ZS2


Course F111 (B.Sc. Mathematics)Take four from the above list in term 1, three in term 2, and a project (F14PA2/F14PB3). Projects will be allocated during term 1, under the overall supervision of Prof. A.A. Lacey. In addition, you should register for three third term revision modules appropriate to your other choices.

Course F191 (B.Sc. Mathematics with a European Language)Take an appropriate combination of level 3 and level 4 modules. A maximum of two 3-module streams at level 3 is permitted.

All other B.Sc. degrees in Mathematics with an External SubjectTake three of the above half-courses in term 1, three in term 2, three revision modules in term 3, and one approved course (or stream of three modules) in the external subject.

9.3 ExaminationsEach half-course will have a 2-hour examination paper in June. The paper will contain four questions, of which the candidate is expected to answer three. Each linked pair of half-courses will have a synoptic 3-hour examination in June consisting of the union of the two single module papers (8 questions in all). Candidates will be expected to answer 5 questions with a maximum of 3 from either part. The module code for the synoptic examination will be that of the appropriate third term revision module. All three examinations will start simultaneously.

Thus, for example, a candidate taking both Special Topics 4 and Special Topics 5 will sit a 3-hour examination called F14ZT3 Special Topics 6, while a candidate taking only one of these will sit a 2-hour examination called F14ZR1 Special Topics 4 or F14ZS2 Special Topics 5.

9.4 Classification of Honours Degrees With the exception of students on the degrees of Mathematics with a European Language,

Mathematics with Finance and Mathematics with Management, the Honours degree assessment is based on examinations held in both the third and fourth years, weighted 60% on the fourth year results and 40% on the third year.

For Mathematics with Finance and Mathematics with Management, the algorithm is slightly different. The level 1 modules that you take in third year are not qualifying modules, i.e. they do not count towards your degree classification. The formula is

final mark = (T+2F)/3 where T and F are the average marks over the nine qualifying level 3 modules and the twelve level 4 modules respectively.

The assessment for the degree of mathematics with a European Language is based entirely on courses taken in the fourth year, together with an oral examination in your European Language, which is taken in October of year 4. The modules taken in fourth year are equally weighted, irrespective of whether they are level 3 or level 4. The oral examination counts 20% towards the final degree classification. Thus the formula is

final mark = (O+4F)/5 where O is the oral examination mark and F is the average mark over all modules taken in final year.


A board of examiners including the Head of Department, external examiners covering Pure Maths, Applied Maths and Numerical Analysis, and the lecturers who taught the courses, carries out assessment. The external examiners ensure that degrees awarded are of comparable standard to those given by other universities. The examiners also make sure that a reasonable standard applies to the individual examinations and may occasionally normalise results to achieve this outcome. The table below shows the average marks per paper used by the examiners as a starting point in the degree classification process.

Average Mark Degree Classification 70 160-69 2.150-59 2.240-49 3

Below 40 Ordinary

There is no quota system on the number of degrees of different classes awarded. It is not impossible (although highly unlikely) for everyone to get a 1st class degree, and similarly for everyone to get an Ordinary degree.

10 STAFF AND HOW TO CONTACT THEM 24

10. Staff and How to Contact Them

Note, room numbers may change after the Department moves to the new building (see Section 1.1)

Mathematics DepartmentName Room e-mail :

Z=ma.hw.ac.ukDr C J Boulter G.06 C.J.Boulter@ZProf K J Brown G.01 K.J.Brown@Z

Prof J Carr 1.06 J.Carr@ZDr D E R Clark 2.05 D.E.R.Clark@ZDr D B Duncan 2.09 D.B.Duncan@ZProf J C Eilbeck 1.08 J.C.Eilbeck@Z Dr N D Gilbert G.07 N.D.Gilbert@ZProf J Howie 3.02 J.Howie@Z

Prof D A Johnston 3.13 D.A.Johnston@ZProf K Khanin NS2.04 K.Khanin@Z

Prof S B Kuksin 2.02 S.B.Kuksin@ZProf A A Lacey 3.03 A.A.Lacey@ZDr M V Lawson 1.03 M.V.Lawson@Z

Dr M Levitin 3.04 M.Levitin@ZDr G J Lord NS1.07 G.J.Lord@Z

Dr S J Malham G.04 S.J.Malham@ZDr G R McGuire 2.04 G.R.Mcguire@Z

Dr S Naire NS1.06 S.Naire@ZMrs C Noble NS2.14 C.Noble@Z

Dr K J Painter HN3 K.J.Painter@ZDr A R Prince 2.07 A.R.Prince@Z

Dr H U Rahman 2.08 H.U.Rahman@ZDr B P Rynne 1.01 B.P.Rynne@Z

Dr B J Schroers NS2.05 B.J.Schroers@ZProf J A Sherratt 1.09 J.A.Sherratt@ZProf R J Szabo 2.03 R.J.Szabo@Z

Dr P Turner 1.03 P.R.Turner@ZDr R A Weston 1.04 R.A.Weston@ZDr A R White G.03 A.R.White@Z

Dr M A Youngson 1.05 M.A.Youngson@Z

The following members of the School also teach modules in the first two years of our degree programmes

Name RoomProf G Gibson 3.07Dr J Hansen G.10Mr J Phillips NS2.16

Dr G Streftaris NS1.08Dr S Zachary 3.06

NS refers to the James Naysmith (Mech. Engineering) Building.HN refers to the Hugh Nisbet BuildingAll other room numbers refer to the Scott Russell Building.

Photographs of staff are displayed at the main stairway on the first floor

e-mail: An easy way to contact most mathematics staff is by e-mail.Telephone & Fax: All staff, 0131-451-3221 (0131-451-3249 fax).Post: Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS.In Person: Staff can be contacted through their offices or the Departmental Office.WWW: A great deal of information about the Department of Mathematics, its staff and postgraduate students can be found on the web at http://www.ma.hw.ac.uk/maths.html

11 COURSE STRUCTURES FOR ALL MATHEMATICS COURSES 25

11. Course Structures For All Mathematics Courses

The course structures for all of the departmental Honours and Ordinary degree programmes are given in this section. Further information about individual mathematics and statistics modules can be found in Sections 6 to 9.

IMPORTANT NOTE: The structure of our mathematics degrees is currently being revised with the changes being phased in over several years. Consequently while the structures listed here are (as far as possible) accurate for this year, they do not necessarily reflect the options that will be available to you in future years. Further details are available from the Course Director, or via the Departmental Office (SR3.19A).

The programmes are listed in the following order:

Mathematics Mathematics with Physics Mathematics with Economics Mathematics with Education Mathematics with Computer Science Mathematics with a European Language Mathematics with Statistics Mathematics with Finance Mathematics with Management


11.1 B.Sc. in Mathematics (Hons.) (F111) / General Maths (Ord.) (F112)

YEAR 1

Students should choose three optional modules from appendix A. These modules should be chosen from the same group e.g. Moral and Social Philosophy (C01MS1, C01MT2, C01MU3). It may be possible to switch options at the end of the first or second term but the choice then is likely to be restricted.

TERM 1 TERM 2 TERM 3F11MA1 - ALGEBRA 1sets, functions, complex numbers,recurrence relations

F11MC2 - ALGEBRA 2linear systems, matrices,determinants, vectors

F11ME3 - ALGEBRA 3reasoning and proof,algebraic structures

F11MB1 - CALCULUS 1limits, differential calculus,applications

F11MD2 - CALCULUS 2integration,1st order ODE’s,applications

F11MF3 - MATH. MODELLING2nd order ODE’s, modelling,introductory mechanics

F71SA1 - STATISTICS 1elementary probability, discrete random variables

F71SB2 - STATISTICS 2continuous distributions, normal distribution, statistical inference

F71SC3 - STATISTICS 3statistical computing, data analysis, introduction to MAPLE

OPTION (see appendix A) OPTION (see appendix A) OPTION (see appendix A)

YEAR 2

Students taking the ordinary degree choose three or more modules from the list below in each of terms 2 & 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F12MG1 - MULTIVARIABLE CALCULUSfunctions of several variables

F12MK2 - REAL ANALYSIS 1limits, convergence of sequences,continuity of functions

F12MN3 - REAL ANALYSIS 2applications of analysis to calculus

F12MH1 - LINEAR ALGEBRAsystems of equations, vector spaces, eigenvalues/vectors

F12ML2 - COMPUTER ASSISTED MATHSuse of MAPLE and MATLAB

F12MT3 - PROFESSIONAL DEVELOPMENTcareers in mathematics, report-writing and presentational skills

OPTION (see appendix A) F12MR2 - MATHEMATICS OF MOTIONNewton’s laws, motion, relativity

F12MS3 - OSCILLATIONS AND WAVESoscillators, energy, wave motion

F72SD1 - STATISTICS 4probability, discrete random variables, continuous distributions, weak law of large numbers

F72SE2 - STATISTICS 5statistical modelling, point estimators, maximum likelihood estimation

F72XB3 - STATISTICS FOR THE ENVIRONMENT* statistical inference, analysis of environmental studies ORF72SF3 - STATISTICS 6*statistical inference, confidence intervals and statistical testing

(*) module F72SF3 is a prerequisite for later statistics courses


YEAR 3

Honours degree students must choose the analysis (YA1/E2/K3) and methods (YB1/F2/L3) modules plus any two of the other three listed below in each term.Ordinary degree students choose two or three modules from the list below in each term. The remaining slots, to make a total of four modules in each term, are chosen from among the options given in appendix A.

TERM 1 TERMS 2 & 3F13YA1 - COMPLEX ANALYSISanalytic functions, Cauchy theorem,Taylor series, contour integration

F13YE2 & F13YK3 - ALGEBRA AND ANALYSIS 1 & 2metric spaces, convergence, continuity, compactness, etc.rings, integral domains, fields, ideals

F13YB1 - APPLIED MATH. METHODSsolving ODE’s by series/Laplace transforms

F13YF2 & F13YL3 - MATHEMATICAL TECHNIQUES 1& 2Fourier series, PDE’s, systems of ODE’s, phase planes

F13YC1 - INTRO. NUMERICALnumerical integration, errors

F13YG2 & F13YM3 - NUMERICAL ANALYSIS 1 & 2numerical linear algebra, advanced numerical integration

F13YD1 - NUMBER THEORYcongruences, prime numbers

F13YH2 & F13YN3 - DISCRETE MATHEMATICS 1 & 2counting arguments, distribution problems, graph theory

F13YQ1 - ASYMPTOTIC ANALYSISasymptotic methods for solving equations,approximate evaluation of integrals

F13YJ2 & F13YP3 - APPLIED MATHEMATICS 1 & 2modelling, derivation of PDE’s, elementary fluid dynamics,special methods of solution of PDE and fluid problems

YEAR 4

Choose any four modules in term 1, and the project plus any other three modules in term 2.

TERM 1 TERM 2 TERM 3F14PA2 – PROJECT F14PB3 –

PROJECTF14ZA1 - PURE MATHEMATICS 1automata and formal languages

F14ZF2 - PURE MATHEMATICS 2finite groups

F14ZL3 – REVISION

F14ZB1 - PDE’s AND OPTIMIZATION 1partial differential equations

F14ZG2 - PDE’s AND OPTIMIZATION 2optimization

F14ZM3 – REVISION

F14ZC1 - NUMERICAL ANALYSIS 3numerical solution of ODE’s

F14ZH2 - NUMERICAL ANALYSIS 4numerical solution of PDE’s

F14ZN3 – REVISION

F14ZD1 - APPLIED MATHEMATICS 3electromagnetism

F14ZJ2 - APPLIED MATHEMATICS 4quantum theory and relativity

F14ZP3 – REVISION

F14ZE1 - SPECIAL TOPICS 1functional analysis

F14ZK2 - SPECIAL TOPICS 2differential geometry

F14ZQ3 – REVISION

F14ZR1 - SPECIAL TOPICS 4mathematical biology

F14ZS2 - SPECIAL TOPICS 5fractals and chaos

F14ZT3 – REVISION

** IMPORTANT: This course structure is transitional and only appliesfor the current academic year – see note on page 25 for further details **


11.2 B.Sc. in Mathematics (Hons.) (F141) / General Maths (Ord.) (F142) with Physics

Course Director: Dr R.A. Weston, Room 1.04

YEAR 1

TERM 1 TERM 2 TERM 3B21PA1 - PHYSICS 1mechanics

B21PB2 - PHYSICS 2electricity and magnetism

B21PC3 - PHYSICS 3waves

F11MA1 - ALGEBRA 1sets, functions, complex numbers,recurrence relations









YEAR 2

Students taking the ordinary degree choose the physics module plus at least two others from the list below in each of terms 2 & 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3B22AS1 - ASTROPHYSICS B22PH2 - INTRODUCTION TO

PHOTONICSB22EV3 - ENVIRONMENTAL PHYSICSatmospheric physics, energy studies, remote sensing

F12MG1 - MULTIVARIABLE CALCULUSfunctions of several variables









YEAR 3

Honours degree students must choose the physics options B23EM1, B23QT2 and B23SD3. They must further choose the analysis (YA1/E2/K3) and methods (YB1/F2/L3) modules plus one other maths module listed below in each term.Ordinary degree students choose a physics module plus at least two further modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A.

TERM 1 TERMS 2 & 3B23EM1 - ELECTROMAGNETISM Term 2: B23QT2 - QUANTUM THEORY

Term 3: B23SD3 - SOLID STATEF13YA1 - COMPLEX ANALYSISanalytic functions, Cauchy theorem,Taylor series, contour integration










YEAR 4

Students should choose the physics module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3B24AQ1 - ADVANCED PHYSICS 1cosmology, elementary particles, quantum mechanics

B24MP2 - THEORETICAL PHYSICS 3group theory, superconductivity

F14ZZ3 -REVISION

F14ZA1 - PURE MATHEMATICS 1automata and formal languages


F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZN3 – REVISION



F14ZP3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION



11.3 B.Sc. in Mathematics (Hons.) (F151) / General Maths (Ord.) (F152) with Economics

Course Director: Dr A.R. Prince, Room 2.07

YEAR 1

TERM 1 TERM 2 TERM 3C21OA1 - MICROECONOMICS 1resource allocation, supply and demand, cost theory

C21OB2 - MACROECONOMICS 1national income accounting, aggregate demand and supply, multiplier theory

C31OC3 - INTRODUCTION TO FINANCEinvestment appraisal, financial markets and institutions, introduction to taxation










YEAR 2

TERM 1 TERM 2 TERM 3C22IE1 - INTERMEDIATE ECONOMICS 1

C22IF2 - INTERMEDIATE ECONOMICS 2

C22IG3 - INTERMEDIATE ECONOMICS 3







F72SD1 - STATISTICS 4probability, discrete random variables, continuous distributions, weak law of large numbers


F72XB3 - STATISTICS FOR THE ENVIRONMENT* statistical inference, analysis of environmental studies ORF72SF3 - STATISTICS 6*statistical inference, confidence intervals and statistical testing



YEAR 3

Honours degree students choose the economics, analysis (YA1/E2/K3) and methods (YB1/F2/L3) modules plus one other listed below in each term.Ordinary degree students choose the economics module plus at least two further modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A in consultation with the 3rd year director of studies.

TERM 1 TERMS 2 & 3C23QG1 - PROJECT 1 (Economics) Term 2: C23QH2 - PROJECT 2 (Economics)

Term 3: C23QI3 - PROJECT 3 (Economics)F13YA1 - COMPLEX ANALYSISanalytic functions, Cauchy theorem,Taylor series, contour integration








YEAR 4

Students choose the economics module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3C24AH1 – ADVANCED MICROECONOMICS 1

C24AJ2 - ADVANCED MICROECONOMICS 2

C24AK3 – AD. MEcs 3



F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZN3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION



11.4 B.Sc. in Mathematics (Hons.) (F161) / General Maths (Ord.) (F162) with Education

Course Director: Prof K.J. Brown, Room G.01

YEAR 1

TERM 1 TERM 2 TERM 3F11XA1 - EDUCATION 1life in classrooms, gender, ethnicity, culture and class

F11XB2 - EDUCATION 2pupils, teachers ,schools, basic characteristics of British Secondary Education, changing role of teacher

F11XC3 - EDUCATION 3National Curriculum, children with learning difficulties, the teacher and the law, health education










YEAR 2

Students taking the ordinary degree choose the education module plus at least two others from the list below in each of terms 2 & 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F12XG1 EDUCATION 4 Developing skills in ICT; initial observation in classrooms.

F12XH2 & F12XI3 - EDUCATION 5&6Developing basic classroom skills for teaching mathematics, considering general issues on how to become a good teacher










YEAR 3

Honours degree students choose the education, analysis (YA1/E2/K3) and methods (YB1/F2/L3) modules plus one other listed below in each term.Ordinary degree students choose the education module plus at least two further modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A in consultation with the 3rd year director of studies.

TERM 1 TERMS 2 & 3F13XA1 - EDUCATION 7Classroom management and skills

F13XB2 & F13XC3 - EDUCATION 8&9Pupil support, problem solving in the teaching of mathematics

F13YA1 - COMPLEX ANALYSISanalytic functions, Cauchy theorem,Taylor series, contour integration










YEAR 4

Students should choose the education project plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3F14XA1, F14XB2 and F14XC3 - EDUCATION 10,11,12Education projectF14ZA1 - PURE MATHEMATICS 1automata and formal languages


F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZN3 – REVISION



F14ZP3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION

NOTE: In order to obtain a teaching certificate enabling students to teach in Scotland and England they must spend a further term undergoing a period of teaching practice under the auspices of Stirling University.



11.5 B.Sc. in Mathematics (Hons.) (F181) / General Maths (Ord.) (F182) with Computer Science

Course Director: Dr D.B. Duncan, Room 2.09

YEAR 1

TERM 1 TERM 2 TERM 3F21RA1 - RAPID APPLIC. DEVELOPMENT

F21OA2 - OBJECT ORIENTED PROGRAMMING 1

F21OB3 - OBJECT ORIENTED PROGRAMMING 2










YEAR 2

Students taking the ordinary degree choose the computer science module plus at least two others from the list below in each of terms 2 & 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F22BI1 -LOGIC BRIDGE F22AO2 -DATA STRUCTURES

AND ALGORITHMS 1F22AQ3 - DATA STRUCTURES AND ALGORITHMS 2







OPTION (see appendix A)ORF72SD1 - STATISTICS 4probability, discrete random variables, continuous distributions, weak law of large numbers

F12MR2 - MATHEMATICS OF MOTIONNewton’s laws, motion, relativityORF72SE2 - STATISTICS 5statistical modelling, point estimators, maximum likelihood estimation

F12MS3 - OSCILLATIONS AND WAVESoscillators, energy, wave motionORF72XB3 - STATISTICS FOR THE ENVIRONMENT* statistical inference, analysis of environmental studies ORF72SF3 - STATISTICS 6*statistical inference, confidence intervals and statistical testing



YEAR 3

Honours degree students choose the computing, analysis (YA1/E2/K3) and methods (YB1/F2/L3) modules plus one other from list below in each term.Ordinary degree students choose the computer science module plus at least two further modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A in consultation with the 3rd year director of studies.

TERM 1 TERMS 2 & 3F23AF1 - DATABASE SYSTEMS Term 2 : F23HE2 - HUMAN COMPUTER INTERACTION

Term 3 : F23AE3 - COMPUTER GRAPHICSF13YA1 - COMPLEX ANALYSISanalytic functions, Cauchy theorem,Taylor series, contour integration










YEAR 4

Students choose a computer science module plus any other three from the list below in each term.

TERM 1 TERM 2 TERM 3F24BE1 - GRAPHICS AND ANIMATION F24BF2 - ROBOTICS AND AUTOMATION

ORF24BG2 - COMPUTER VISION AND APPLICATIONS

F14ZZ3 - REVISION



F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZN3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION



11.6 B.Sc. in Mathematics (Hons.) (F191) with a European Language

Course Director: Dr M.A. Youngson, Room 1.05

YEAR 1

For students studying French the language options will be C42FX1, C42FY2 and C42FZ3. For students studying German the language options will be C41GL1, C41GM2 and C41GN3. For students studying Spanish the language options will be C41SL1, C41SM2 and C41SN3.

TERM 1 TERM 2 TERM 3LANGUAGE(see above)

LANGUAGE(see above)

LANGUAGE(see above)










YEAR 2

For students studying French the language options will be C43FX1, C43FY2 and C43FZ3. For students studying German the language options will be C42GI1, C42GJ2 and C42GK3. For students studying Spanish the language options will be C42SI1, C42SJ2 and C42SK3.

TERM 1 TERM 2 TERM 3LANGUAGE(see above)

LANGUAGE(see above)

LANGUAGE(see above)










YEAR 3

Students must attain a satisfactory standard in an approved course of study in mathematics in a university whose working language is French, German or Spanish.

YEAR 4

Students choose four modules in each term from the list below plus Year 3 modules from the mathematics degree (see earlier). A maximum of two 3-module streams at level 3 is permitted.

TERM 1 TERM 2 TERM 3F14ZA1 - PURE MATHEMATICS 1automata and formal languages


F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION



11.7 B.Sc. in Mathematics (Hons.) (F1A1) / General Maths (Ord.) (F1A2) with Statistics

Course Director: Dr M. Levitin, Room 3.04

YEAR 1

Students should choose three optional modules from appendix A. These modules should be chosen from the same group e.g. Moral and Social Philosophy (C21MS1, C21MT2, C21MU3). It may be possible to switch options at the end of the first or second term but the choice then is likely to be restricted.

TERM 1 TERM 2 TERM 3F71SA1 - STATISTICS 1elementary probability, discrete random variables









OPTION (see appendix A) OPTION (see appendix A) OPTION (see appendix A)

YEAR 2

Students taking the ordinary degree choose the statistics module plus at least two others from the list below in each of terms 2 & 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F72SD1 - STATISTICS 4probability, discrete random variables, continuous distributions, weak law of large numbers


F72SF3 - STATISTICS 6statistical inference, confidence intervals and statistical testing










YEAR 3

Honours degree students choose the data analysis, methods (YB1/F2/L3) and analysis (YA1/E2/K3) modules plus one other listed below in each term.Ordinary degree students choose the data analysis module plus at least two further modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A in consultation with the 3rd year director of studies.

TERM 1 TERMS 2 & 3F73SF1 - DATA ANALYSIS 1 F73SJ2 & F73SM3 - DATA ANALYSIS 2 & 3F13YA1 - COMPLEX ANALYSISanalytic functions, Cauchy theorem,Taylor series, contour integration










YEAR 4

Students choose the statistics module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3F73SG1 - STATISTICAL INFERENCE F73SK2 - STOCHASTIC PROCESSES 1

(continues in term 3)F73SN3 –St. Proc. 2



F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZN3 – REVISION



F14ZP3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION



11.8 B.Sc. in Mathematics (Hons.) (F1B1) / General Maths (Ord.) (F1B2) with Finance

Course Director: Dr C.J. Boulter, Room G.06

YEAR 1













YEAR 2

TERM 1 TERM 2 TERM 3C32PT1 - INVESTMENT AND PORTFOLIO THEORYutility theory, modern portfolio theory, stock market indices, technical analysis of shares

C32CF2 - CORPORATE FINANCEmanagement objectives, capital structure decisions, dividend policy

C32RC3 - STRUCTURE AND REGULATION OF CAPITAL MARKETSregulation, flotation, trading mechanisms

C21OA1 - MICROECONOMICS 1resource allocation, supply and demand, cost theory


C21OC3 - INTERNATIONAL ECONOMICSOR F72XB3 - STATISTICS FOR THE ENVIRONMENTstatistical inference, analysis of environmental studies








YEAR 3

Honours degree students must choose the finance, economics, analysis (YA1/E2/K3) and methods (YB1/F2/L3) modules in each term.Ordinary degree students must choose the finance, economics and methods modules plus any one other module listed below in each term.

TERM 1 TERMS 2 & 3C33II1 - INTERNATIONAL FINANCIAL INVESTMENT

C33FD2 - FINANCIAL DERIVATIVES

C33IM3 - INTERNATIONAL FINANCIAL MARKETS

C21OA1 - MICROECONOMICS 1 C21OB2 - MACROECONOMICS 1,

C21OC3 - INTERNATIONAL ECONOMICS









YEAR 4

Students must choose the finance module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3C34SY1 - SECURITY ANALYSIS AND DERIVATIVE APPLICATIONS

C34SX2 – SECURITIES MARKETS C34SZ3 - SECURITY TOPICS AND ISSUES (private study)



F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZN3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION



11.9 B.Sc. in Mathematics (Hons.) (F1C1) / General Maths (Ord.) (F1C2) with Management

Course Director: Dr A. White, Room G.03

YEAR 1













YEAR 2

TERM 1 TERM 2 TERM 3C31OA1 - FINANCIAL ACCOUNTING

C31OB2 - MANAGEMENT ACCOUNTING

C31OC3 - INTRODUCTION TO FINANCE

C21OA1 - MICROECONOMICS 1resource allocation, supply and demand, cost theory


C21OC3 - INTERNATIONAL ECONOMICSOR F72XB3 - STATISTICS FOR THE ENVIRONMENTstatistical inference, analysis of environmental studies








YEAR 3

Honours degree students must choose the accounting/finance, analysis (YA1/E2/K3) and methods (YB1/F2/L3) modules plus any one other module listed below in each term.Ordinary degree students must choose the accounting/finance module plus at least two further modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A.

TERM 1 TERMS 2 & 3C31OA1 - FINANCIAL ACCOUNTING C31OB2 - MANAGEMENT

ACCOUNTINGC31OC3 - INTRODUCTION TO FINANCE









YEAR 4

Students must choose the management module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3C14PU1 - PURCHASING C14BU2 – LOGISTICS AND

SUPPLY CHAIN MANAGEMENTC14BV3 - LOGISTICS AND SUPPLY CHAIN MANAGEMENT 2



F14ZL3 – REVISION



F14ZM3 – REVISION



F14ZQ3 – REVISION



F14ZT3 – REVISION


12 APPENDIX A : OTHER COURSE OPTIONS 44

12. Appendix A: Other Course Options

YEAR 1

TERM 1 TERM 2 TERM 3BIOLOGY A11IB1 A11AB2 A21EB3PHYSICS B21PA1 B21PB2 B21PC3CHEMISTRY 2* B11CA1 B11CB2 B11CC3MORAL AND SOCIAL PHILOSOPHY C01MS1 C01MT2 C01MU3MANAGEMENT C11MA1 C11MB2 C11MC3ECONOMICS C21OA1 C21OB2 C21OC3ECONOMICS AND FINANCE C21OA1 C21OB2 C31OC3ACCOUNTANCY AND FINANCE C31OA1 C31OB2 C31OC3FRENCH 1** C41FX1 C41FY2 C41FZ3FRENCH 2* C42FX1 C42FY2 C42FZ3GERMAN 1 C41GX1 C41GY2 C41GZ3GERMAN 2* C42GX1 C42GY2 C42GZ3SPANISH 1 C41SX1 C41SY2 C41SZ3SPANISH 2* C42SX1 C42SY2 C42SZ3ARABIC 1 C41AX1 C41AY2 C41AZ3RUSSIAN C41RX1 C41RY2 C41RZ3(*) Students should already hold a pass in the subject at Higher grade or equivalent.(**) Students should already hold a pass in the subject at Standard grade or equivalent.

YEAR 2

Students may choose from the following options of term 1 electives: Biology (A11IB1), Physics (B21PA1), Chemistry* (B11CA1), Moral and Social Philosophy (C01MS1), Management (C11MA1), Economics (C21OA1), Accountancy (C31OA1), or IT Fundamentals (F21XC1).

(*) Students should already hold a pass in the subject at Higher grade or equivalent.

YEAR 3

In addition to the Year 1 options listed above (subject to timetable constraints), the following modules are available for year 3 students on Ordinary Degrees

TERM 1 TERM 2 TERM 3FOUNDATION PHYSICS B21XA1 B21XB2 B21XC3HISTORY OF SCIENCE B73PP1 B13CF2 A03DB3IT FUNDAMENTALS F21XC1 F21XD2 F21XE3

13 APPENDIX B : EQUAL OPPORTUNITIES AND RACE EQUALITY POLICIES 45

13. Appendix B: Equal Opportunities and Race Equality Policies

The Mathematics department fully supports the principles and practice of equality of opportunity, and endorses the University Equality Policies detailed below.

Equal Opportunities Policy

Heriot-Watt University is committed to equal opportunities for all, irrespective of sex, colour, ethnic origin, disability, marital status, religious or political beliefs, trade union membership, sexual orientation or other irrelevant distinction.

The University welcomes diversity among staff and students and aims to encourage all individuals to realise their full potential and contribute as fully as possible to the University community. The University aims to create conditions whereby the treatment of students, staff and applicants for employment or study is on the basis of their relative merits, abilities and potential.

The University believes that achievement of equality of opportunity will be in the best interests of the organisation as a whole and its individual members. Consequently, it is committed not only to uphold the letter of the law, but also to promote diversity and equality of opportunity throughout the organisation.

Race Equality Policy

The University is committed to the elimination of unlawful racial discrimination; and the promotion of equality of opportunity and good relations between persons of different racial groups.

No religious, racial or political test shall be imposed by the University on any person in order to entitle him or her to be admitted as a Member, Professor, Teacher or Student of the University, or to hold office therein, or to graduate thereat, or to hold any advantage of privilege thereof.

For further information visit: http://www.hw.ac.uk/personnel/services.htm

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HERIOT-WATT UNIVERSITY · Web viewMATHEMATICS SCHOOL OF MATHEMATICAL AND COMPUTER SCIENCES Information Guide for Students for the Session 2004-2005 KEEP FOR FUTURE REFERENCE Contents