Embed Size (px)
Citation preview
Course Syllabus
A Unit of the Technical College System of Georgia
Page 1 of 13
Course Name/Number: Pre-Calculus/MATH 1113 Semester: Fall 2016
Prerequisite(s): A grade of C or better in MATH 1111 – College Algebra
Course CRN: 20837 Credit Hours: 3
MyOpenMath Course ID: 13118 Enrollment Key: 20837
Campus/Room: NMTC/ RM 122 Day/Time: MW 01:30 PM 02:45 PM
Required Tools/Supplies:
*MyOpenMath(MOM)
*Graphing Calculator (Students may elect to use either the TI-83 or the TI-84 model. The higher versions of the TI
calculator (TI-89, TI 92 or TI –Nspire) and Casio fx-115ES Plus are not permitted in this course)
Textbook: Precalculus , An Investigation of Functions By David Lippman, Melonie Rasmussen
http://www.opentextbookstore.com/precalc/
*Students must use MOM .
Instructor: David Nazari Office: 205A (Bld B)
Email Address: [email protected]
Office Phone: 770-975-4148
Office Hours: MW (07:00 AM – 09:00AM) & MW (3:00 PM - 6:00 PM)
Course Description:
This course prepares students for Calculus. The topics discussed include an intensive study of polynomial, rational,
exponential, logarithmic and trigonometric functions and their graphs. Applications include simple maximum and
minimum problems, exponential growth and decay.
Competency Areas and Expected Student Outcomes:
Course Competencies:
Define a logarithm and use logarithmic properties
Define and graph a logarithmic function; find domain and range; and solve applications
Define, determine domain and range, and graph the six circular functions
Define the six trigonometric functions; use to solve right/oblique triangles and solve applications
Use trigonometric identities to prove other identities and work the inverse trig functions
Define and work with vectors
Course Syllabus Page 2 of 13
Define and work with complex numbers
Define basic concepts related to functions and their graphs
Graph a function using a graphing calculator
Define and graph linear functions and solve applications involving them
Define and graph quadratic functions and solve applications involving them
Perform operations involving functions including finding the inverse of a function
Define and graph polynomial functions including end behavior and zeros (real and imaginary)
Define and graph rational functions including basic characteristics and transformations
Define, evaluate and graph exponential functions and use them to model phenomena
Expected Student Outcomes:
Define a logarithm
Use the logarithmic properties to determine values of logarithmic expressions
Solve logarithmic and exponential equations using properties of logarithms
Define a logarithm function
Determine the domain and range of logarithmic functions
Draw the graph of logarithmic functions
Solve applications involving logarithmic functions
Define the six circular functions
Describe the domain and range of the six circular functions
Draw the graph of circular functions using amplitude, period and phase shift
Define six trigonometric functions
Solve right triangles using trigonometric functions
Solve applications involving right triangles using the trigonometric functions
Solve oblique triangles using the law of sines and law of cosines
Use the fundamental trigonometric identities to prove other identities
Use the sum and difference identities as well as the double angle and half-angle identities to prove other identities
Determine the domain and range of the trigonometric functions and their inverses
Draw the graph of the trigonometric functions and their inverses
Define vectors; Find the components of a vector
Perform operations on vectors and solve applications problems involving vectors
Define a complex number describe complex numbers in standard, rectangular, polar and trigonometric forms
Draw the graph of a complex number on the Argand Diagram and perform operations on complex numbers
Use DeMoivre’s Theorem to find powers and roots of complex numbers
Define functions and the domain and range of functions
Define maximum and minimum values of a function
Define increasing, decreasing and constant functions
Define end behavior, zeros, roots and transformations of a function
Draw the graph of a function using a graphing calculator
Define a linear function; Draw the graph of a linear function and solve applications involving linear functions
Define a quadratic function and draw the graph of a quadratic function
Determine the vertex and the maximum or minimum value of a quadratic function
Solve applications problems involving quadratic functions
Determine the sum, difference, product, quotient and composition of two functions
Compute the value of a composition of two functions given a domain value
Determine the inverse of a function
Define and draw the graph of polynomial functions
Determine the end behavior of a polynomial function using the leading term test
Course Syllabus Page 3 of 13
Determine all the real and imaginary zeros of a polynomial function
Draw the graph of transformations of polynomials functions
Define a rational function and determine the domain and range of a rational function
Determine the vertical and horizontal asymptotes of a rational function
Draw the graph of a rational function and the transformation of a rational function
Define an exponential function and determine the domain and range of an exponential function
Calculate the value of an exponential function
Draw the graph of an exponential functions and the transformations of exponential functions
Use exponential functions to model natural phenomena such as exponential growth and decay and practical situations such
as compound interest
Precalculus: An Investigation of Functions By David Lippman, Melonie Rasmussen
Textbook Table of Contents
Chapter 1: Functions o 1.1: Functions and Function Notation o 1.2 Domain and Range o 1.3 Rates of Change and Behavior of Graphs o 1.4 Composition of Functions o 1.5 Transformation of Functions o 1.6 Inverse Functions
Chapter 2: Linear Functions o 2.1 Linear Functions o 2.2 Graphs of Linear Functions o 2.3 Modeling with Linear Functions o 2.4 Fitting Linear Models to Data o 2.5 Absolute Value Functions
Chapter 3: Polynomial and Rational Functions o 3.1 Power Functions & Polynomial Functions o 3.2 Quadratic Functions o 3.3 Graphs of Polynomial Functions o 3.4 Rational Functions o 3.5 Inverses and Radical Functions
Course Syllabus Page 4 of 13
Chapter 4: Exponential and Logarithmic Functions o 4.1 Exponential Functions o 4.2 Graphs of Exponential Functions o 4.3 Logarithmic Functions o 4.4 Logarithmic Properties o 4.5 Graphs of Logarithmic Functions o 4.6 Exponential and Logarithmic Models o 4.7 Fitting Exponentials to Data
Chapter 5: Trigonometric Functions of Angles o 5.1 Circles o 5.2 Angles o 5.3 Points on Circles using Sine and Cosine o 5.4 The Other Trigonometric Functions o 5.5 Right Triangle Trigonometry
Chapter 6: Periodic Functions o 6.1: Sinusoidal Graphs o 6.2: Graphs of the Other Trig Functions o 6.3: Inverse Trig Functions
Chapter 7: Trigonometric Equations and Identities o 7.1 Solving Trigonometric Equations with Identities o 7.2 Addition and Subtraction Identities o 7.3 Double Angle Identities
Chapter 8: Further Applications of Trigonometry o 8.1 Non-right Triangles: Law of Sines and Cosines o 8.3 Polar Form of Complex Numbers o 8.4: Vectors
Course Evaluation:
Students moving to MATH 1131 (Calculus) must complete MATH 1113 with a C or better.
Grading Scale: Grades are issued at the end of each semester. All grades earned will be reflected on and remain on the official academic transcript. The following grading scale is used:
A 90-100 B 80-89 C 70-79 D 60-69 F 0-59
Grading Criteria: Final Grades for this course will be calculated as follows:
Course Syllabus Page 5 of 13
Class Work/Homework 15% Tests 55% Final Exam 30%
Classroom Policies and Procedures:
Homework (15%)
All homework is to be completed online. You need to complete each chapter’s homework by following the course calendar. None of the homework grades will be dropped. Each homework exercise may be repeated as many times as needed to get a correct response,
thereby making 100% attainable on every homework assignment.
Tests (55%)
There will be 4 online tests at MOM. If for any reasons, you made an incomplete work (zero score), There is no resetting and MOM can’t save your work.
During the online test, close all other browsers, if you open any MOM sites during the test, MOM will drop you out of the exam, and it will cost you one attempt.
You may not use your notes or text book. You should not need them if you understand the material.
The lowest test grade will be dropped excluding final exam. If the following conditions are met; 1. 85% of homework should accomplished by the end of semester. 2. Participate on all discussion activities.
I highly recommend taking your test few days before the due date, MOM may have maintenance schedule or you may face other unexpected technical problems on the last day, which you may lose your chance to use both attempts.
There is no resetting regardless of the excuse, so try to be organized and be ready for those online tests.
Final Exam (30%) The final exam will be in class and it is a cumulative exam. It will be closed notes and textbook. You need to furnish your own scantron paper, approved
calculator and pencil. Make-up tests are not given. Missed tests will receive a grade of zero.
Course Syllabus Page 6 of 13
Fall Semester
2016
Precalculus
Math 1113
Date Chapter/Sections Due date (HW)
M/08-22-16 Introduction/
Review (Ch1& 2)
W/08-24-16 Review (Ch1& 2)
M/08-29-16 Review (Ch1& 2)
W/08-31-16 Review (Ch3& 4)
W/09-07-16 Review (Ch3& 4)
M/09-12-16 Review (Ch3& 4)
W/09-14-16 Review (Ch3& 4)
M/09-19-16 Review (Ch3& 4)
W/09-21-16 Review (Ch3& 4) Test & HW # 1 (Ch. 1-4) online is due 09-25-2016
M/09-26-15 Chapter 5: Trigonometric Functions of Angles
W/09-28-15 Chapter 5: Trigonometric Functions of Angles
M/10-03-16 Chapter 5: Trigonometric Functions of Angles
W/10-05-16 Chapter 5: Trigonometric Functions of Angles
M/10-10-16 Chapter 6: Periodic Functions
Course Syllabus Page 7 of 13
W/10-12-16 Chapter 6: Periodic Functions
M/10-17-16 Chapter 6: Periodic Functions
W/10-19-16 Chapter 6: Periodic Functions Test & HW # 2 (Ch. 5 & 6) online is due 10-16-2016
M/10-24-16 Chapter 7: Trigonometric Equations and Identities
W/10-26-16 Chapter 7: Trigonometric Equations and Identities
M/10-31-16 Chapter 7: Trigonometric Equations and Identities
W/11-02-16 Chapter 7: Trigonometric Equations and
Identities Deadline to withdraw from Fall Semester
course(s) with a "W"is November 1st
M/11-07-16 Chapter 7: Trigonometric Equations and Identities
W/11-09-16 Chapter 7: Trigonometric Equations and Identities
M/11-14-16 Chapter 7: Trigonometric Equations and Identities
W/11-16-16 Chapter 7: Trigonometric
Equations and Identities Test & HW # 3 (Ch. 7) online is due 11- 20-2016
M/11-21-16 Chapter 8: Further Applications of Trigonometry
W/11-23-16 Thanksgiving Holiday (No Class)
M/11-28-16 Chapter 8: Further Applications of Trigonometry
W/11-30-16 Chapter 8: Further Applications of Trigonometry
M/12-05-16 Chapter 8: Further
Applications of Trigonometry Test & HW # 4 (Ch. 8) online is due 12- 11-2016
W/12-07-16 Final exam in-class
Course Syllabus Page 8 of 13
The Final Exam for this course is cumulative; you will be tested on everything we have covered
throughout the semester.
M : Monday T : Tuesday W :Wednesday R : Thursday
Technical Difficulties:
Due dates for homework will NOT be extended nor will they be reset due to technical difficulties. Do not wait until the last minute to complete an assignment in case a technical problem should arise! If your home PC is inoperable, you should utilize a CTC computer lab.
Calculator Guidelines: Calculators are permitted for all math classes and for the Compass Exit Exam (Pre-algebra and Algebra)
administered in MATH 0090. The TI-83/84 (including plus and silver versions) are recommended for
students (and required for some courses). ACT prohibits the use of specific calculators on the Compass
Exams and Chattahoochee Technical College Math Department is consistent with these requirements.
Thus, students will not be allowed to use any ACT prohibited calculators in any math course or on the
Compass Exit Exam administered in MATH 0090. For example, the TI-89, TI-92, and the TI-Nspire CAS
model calculators are prohibited. Students can view a complete listing of all prohibited calculators by
visiting http://www.act.org/compass/student/calculator.html.
No Show Policy: A “no show” is a student whose name appears on the course roster but who fails to have his or her
attendance verified the first week of class.
In all courses, regardless of the method of delivery (face-to-face, hybrid, or online), faculty will conduct a
graded activity the first week of class in order to verify student attendance. This graded activity will
document the student’s intent to take the course. Any student not completing the graded activity will
be reported as a “no-show” regardless of his or her attendance in the classroom. Any student reported
as a “no show” by an instructor will be administratively withdrawn from the course and will show no
enrollment history.
Attendance Policy:
Regular class attendance is crucial for success in the class and is recorded for academic and financial aid
purposes. Students are expected to attend every class session in its entirety or give prior notice of any
absence. Students are responsible for signing the daily attendance sheet. Absent students remain
responsible for all assignment deadlines and receive zeroes for any in-class work, tests, or quizzes
missed. All students must complete a “no show” assignment by the deadline to confirm initial class
attendance. It is the student’s responsibility to attend classes on a good-faith basis that demonstrates
the student’s desire to be a genuine partner in the educational process. It is the responsibility of the
student to know the policy and adhere to it. Final grades may be affected by excessive absence and
tardiness.
Course Syllabus Page 9 of 13
Make-up Policy:
There will be no make-ups of quizzes or tests in this class. The lowest test grade will be dropped. Any
student who misses the final examination due to an emergency should contact their instructor within 24
hours of the exam to discuss the possibility of a make-up. Students will NOT be allowed to take an early
exam. Extensions will not be granted.
Homework Policy:
All homework is assigned and submitted in MyOPenMath (MOM). A grade of 100% is attainable on each
assignment. It is highly recommended students successfully complete all homework assignments by
specified due date, which can be found in MOM. No late work will be accepted. No extensions will be
granted.
CLASSROOM ETIQUETTE POLICY:
You are expected to display courtesy and respect to your instructor and fellow students at all times.
This includes not having private conversations or phone calls during lecture, keeping voices low in the
hallways (especially during class times), being on time to class, avoiding offensive language in the
classroom, and turning off all electronic devices during lecture. If class is held in a computer lab,
students will only be allowed to use the computers as it pertains to class. Classroom behavior which is
not respectful or which disrupts another student’s ability to learn can result in removal from the class.
Withdrawal Policy and Procedure:
Students may withdraw from any or all courses from their Fall Semester schedule through November
1st. Students are responsible for withdrawing themselves from any or all of the classes through Banner
Web. No withdrawals will be processed after the ‘W’ period ends on July 11th. Students who do not
withdraw from classes will be assigned grades earned.
Any student receiving federal student aid (Pell, SEOG, etc.) who completely withdraws from all classes
during a given period of enrollment and completes less than 60% of the term (based on the
instructor’s determination of last date of attendance) may be required to return funds to
Chattahoochee Technical College and/or the US Department of Education.
Advisement:
Chattahoochee Technical College’s Qualify Enhancement Plan (QEP) is a vital part of CTC’s
reaffirmation of accreditation by the Southern Association of Colleges and Schools Commission on
Colleges (SACSCOC). CTC’s QEP is eMAP: An Educational Master Advising Plan. eMAP formalizes
academic advisement to support student attainment of educational and career goals. To date, it
involves most students in business and technical programs.
Student Email Account:
Course Syllabus Page 10 of 13
All students registered at Chattahoochee Technical College will have a new student e-mail address.
Your e-mail address will be assigned upon first registration and will be active within 24 hours.
Regardless of former e-mail address, all Chattahoochee Technical College students will now have an
address of “[email protected].” Additional student email account
information can be found on the college website under me@CTC – Student Email & Onedrive.
TEAMS Early Alert System:
Chattahoochee Technical College has implemented an early alert system to help students be successful
in their academic endeavors. The early alert system, named TEAMS, will allow instructors to submit an
alert about a student that is struggling academically, is inconsistent with attendance, or has a personal
hardship that is impeding their success. This alert serves as an indicator that a student may need some
assistance to be successful with completing their course of study. This help may be in the form of
information, campus resources, or a community resource referral.
Instructors can submit an alert for these three areas of concern: Attendance Issues, Academic
Preparedness, or Personal Hardships. Alerts are not punitive and do not effect students’ grades or
standing within a given course. Should you have any questions about the TEAMS alert system, please
refer them to the college Student Navigator, Ebony Gammon via email at,
Academic Integrity: Chattahoochee Technical College expects students, faculty, and staff to conduct themselves with
honesty and academic integrity. The college promotes and expects all members of the college
community to conduct themselves professionally and with intellectual integrity. The college considers
academic integrity an integral part of the learning environment. Any infraction of this policy is
detrimental to the students’ education and the integrity of the college. Cases of academic dishonesty
that are strictly forbidden include:
Plagiarizing any assignment or part of an assignment. Plagiarizing means to use someone else’s
ideas or words as one’s own, without giving appropriate credit using quotation marks if
necessary, and citing the source(s).
Copying and submitting another’s work as one’s own.
Using unauthorized notes or equipment (programmable calculator, pda, cell phone, etc.) during
an examination.
Stealing an examination or using a stolen examination for any purpose.
Allowing another student to have access to your work, thereby enabling that student to
represent the work as his/her own.
Having someone else take a quiz or exam in one’s place, taking an exam for someone else, or
assisting someone in any way during a quiz or exam, or using any unauthorized electronic device
of other unauthorized method of support during a quiz or exam.
Falsifying or fabricating information, such as data for a lab report.
Course Syllabus Page 11 of 13
Falsifying a patient’s medical record or a student’s clinical record, or any other student record,
including a record of attendance.
Using another person’s file or copying another student’s computer program.
Other forms of cheating or dishonesty are forbidden, even if not listed here specifically.
Instructors may use any one or more of the following disciplinary measures for addressing instances of
dishonesty:
Award a grade of zero for the assignment;
Assign a failing grade for the course;
Recommend the dismissal of the student from the program, or college.
Disability Services
Chattahoochee Technical College provides support services for students with disabilities. These
services ensure program accessibility and reasonable accommodations to individuals defined as
disabled under Section 504 of the Rehabilitation Act of 1973, the Americans with Disabilities Act of
1990 and the Americans with Disabilities Amendments Act of 2008. Chattahoochee Technical
College strives to provide, within reason, appropriate resources, services and auxiliary aids to allow
each qualified person with a documented disability equitable access to educational programs,
social experiences and career opportunities.
Inquiries concerning the application, policies, and practices of the American with Disabilities
Act for Chattahoochee Technical College may be addressed to one of the following:
Marietta Campus – ADA/Section 504 Coordinator, Mary Frances Bernard at 980 South Cobb Drive,
Marietta, GA 30060, Building G1106. Phone: 770‐528‐4529. Also serving the Mountain View,
Paulding, and Austell campus locations. E-mail is [email protected].
North Metro/Appalachian/Canton/Woodstock Campus – Contact Disability Services for assistance.
Disability Services Coordinator Caitlin Barton, North Metro campus, 5198 Ross Road, Acworth, GA
30102, Building A, Office 132-O, 770-975-4099. E-mail is [email protected].
The full CTC policy on Disability Services can be found at:
http://chattahoocheetech.smartcatalogiq.com/en/2015-2016/General-Catalog/Student-Affairs/Disability-Services
Library/Information Resource Services The purpose of the Chattahoochee Technical College Library is to provide information resources and
library services to meet the institutional mission of preparing students to enter the workforce. Library
staff provides materials to assist students in pursuing their educational, career, and personal goals. The
library is committed to the support of academic programs for the broad range of students in the
technical college.
Libraries are located on all campuses; library information can be found at
http://www.chattahoocheetech.edu/services/library/. The library provides information, guidance, and
instruction to all faculty, staff, and students for a wide range of resource materials. Automated catalogs,
Course Syllabus Page 12 of 13
circulation, electronic indexes, e-books, and reference services offer the user state-of-the-art access to
research and recreational materials. Information on student access to online resources can be found at
http://www.chattahoocheetech.edu/services/library/.
The library is a member of the Georgia Online Database (GOLD) and Lyrasis (formerly the Southeastern
Library Information Network or SOLINET). GOLD and Lyrasis provide access to materials in libraries
throughout Georgia, the east, and the southeast for inter-library loans. The library also maintains
cooperative agreements with Kennesaw State University, Southern Polytechnic State University,
Reinhardt University, and all other Technical College System of Georgia (TCSG) libraries. These
agreements allow Chattahoochee Technical College faculty and students to borrow materials from these
campus libraries upon presentation of a current Chattahoochee Technical College photo ID.
Open Computer Labs Computers for general use by students are provided on all campuses either in a separate lab or in
conjunction with the Library or Success Centers. Students will need a current, validated student ID card
to use the labs. Open computer lab information can be found at
http://www.chattahoocheetech.edu/computer-labs/.
Success Centers Success Centers are available at all campuses. Tutoring is available in English, math and reading, and
may be arranged for other subjects depending upon availability of tutors. Schedules are posted by
campus. The College provides an on-line learning center where all students may access tutorials and
many other resources to help them with their learning. Success Center hours and locations can be
found at http://www.chattahoocheetech.edu/services/academic-success-centers/.
MyOpenMath (MOM) Information: Students must have their MOM account set up within the first week of class.
Make sure you use the correct course ID for this class. Failure to do so may result in your
needing to purchase another access code. This course ID is provided by the instructor and also
listed on the course syllabus.
All students must always use the same login information each term registered to access their
MOM account for MATH 1111, so save your login information for future terms.
Website: www.myopenmath.com
Equal Opportunity Statement:
As set forth in its student catalog, Chattahoochee Technical College does not discriminate on the basis
of race, color, creed, national or ethnic origin, gender, religion, disability, age, political affiliation or
belief, genetic information, veteran status, or citizenship status (except in those special circumstances
permitted or mandated by law). The following person(s) has been designated to handle inquiries
regarding the non-discrimination policies: Chattahoochee Technical College Title IX Coordinator,
Brannon Jones, 980 South Cobb Drive, Building C 1102B, Marietta, GA 30060, (770) 975-4023 or
[email protected] and Chattahoochee Technical College Section 504
Course Syllabus Page 13 of 13
Coordinator, Mary Frances Bernard, 980 South Cobb Drive, Building G1106, Marietta, GA 30060, (770)
528-4529, or [email protected].
Technical College Guarantee (Warranty Statement): The Technical College System of Georgia guarantees that graduates of state technical colleges or
participating local technical colleges have demonstrated competence in those competencies as defined
by the Industry Technical Committee and included in the approved state curriculum standards. “Should
any student within two years of graduation not be able to perform one or more of the competencies
contained in the industry validated standard or program guide, including failure to pass a state required
licensing examination, the Department agrees to provide specific retraining at any state technical
college offering the program to the former student at no cost to the employer or graduate for tuition or
instructional fee.” Georgia’s technical colleges take pride in being the first to offer this guarantee to our
partners in business and industry. To inquire or to file claims under this warranty please contact the Vice
President of Student Affairs, Marietta Campus, 770.528.4545.
Veteran Statement: If you are a military service member or veteran or a family member of a military service member or veteran, you can obtain veteran services through our veteran services
email ([email protected] ) or by calling Dr. Barry Munday at 770-443-
3612. See also our website: http://www.chattahoocheetech.edu/veterans-services/ . Thank you for your service and support of our nation.
