MAT 149 Generic Course Syllabus

MAT 149 GENERIC COURSE SYLLABUS

Effective Date: Fall 2003

Instructor:

Campus:

Room:

Office Hours:

Phone:

Course Prefix

Course Number

Course Name

Credit

Lecture

Lab

MAT

149

Precalculus

II.

Prerequisites:

MAT 053 or geometry proficiency; and MAT 120 or the equivalent with a grade of C or better, or an appropriate score on the OCC Mathematics Assessment Test.

III.

Course Description:

Course surveys algebraic and transcendental functions. Content includes polynomial, rational, exponential, logarithmic and trigonometric functions; conic sections, series, parametric equations, and polar equations. Technology integrated throughout course.

IV.

Course Objectives:

A. Understand the concepts of relations and functions.

B. Understand the basic characteristics and graphs for the following functions: polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric.

C. Apply algebraic techniques to trigonometric expressions, identities, and triangles.

D. Understand the basic characteristics and graphs of the conic sections.

E. Understand the concepts associated with vectors and their operations.

F. Apply the concepts of sequences and series.

G. Understand parametric equations.

H. Understand polar equations.

I. Use technology for graphing and evaluating functions.

1. Generate the complete graph for the elementary functions.
2. Solve equations involving elementary functions.

Academic Integrity:

Students, Faculty and administration at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

cheating,

plagiarism (turning in work not written by you or lacking proper citation),

falsification and fabrication (lying or distorting the truth),

helping others to cheat,

making unauthorized changes in official documents,

pretending to be someone else or having someone else to pretend to be you,

making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

VI.

Outline of Topics:

A. Functions and Their Graphs

1. Operations on functions: combinations
2. Graphing techniques
3. Translations and Rotations
4. Inverse functions

B. Polynomial Functions: Graphs and Zeros

1. Quadratic functions
2. Polynomial functions of higher degree
3. Remainder and Factor Theorems
4. Complex zeros of polynomial functions
5. Fundamental Theorem of Algebra
6. Applications

C. Rational Functions and Conic Sections

1. Rational functions and their graphs
2. Conic sections
       a) Center at origin
       b) Translations

D. Exponential and Logarithmic Functions

1. Exponential functions and their graphs
2. Logarithmic functions and their graphs
3. Properties of logarithms
4. Solving exponential and logarithmic equations
5. Applications

E. Find the Intersection of Two Polynomial Functions (Substitution Method)

F. Sequences and Series

1. Fundamentals of sequences and series
2. Arithmetic sequences
3. Geometric sequences
4. Applications

G. Trigonometric Functions

1. Measurement of angles
2. Circular functions
3. Graphs of sines and cosines
4. Graphs of the other trigonometric functions
5. Inverse trigonometric functions and their graphs
6. Trigonometric identities
       a. Pythagorean identities
       b. Sum and difference formulas
       c. Multiple and half angle formulas
        d. Sum-to-product; product-to-sum
7. Solving trigonometric equations
8. Applications
       a. Complex numbers and their trigonometric form
       b. Solving right triangles
       c. Law of Sines, Law of Cosines
       d. Roots and powers of complex numbers
       e. Polar coordinates
       f. Parametric equations

H. Vectors

1. Geometric and algebraic representation of vectors
2. Basic operations with vectors

I. Technology

1. Generate the complete graph of each trigonometric and inverse trigonometric function including setting a proper window, tracing and zooming.
2. Graphically locate the x-intercepts, the relative extrema and determine asymptotic behaviors.
3. Solve equations graphically, numerically and/or symbolically.

VII.

Methods of Instruction:

(To be completed by instructor)

Methods of presentation can include lectures, discussion, demonstration, experimentation, audiovisual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate.

VIII.

Course Practices Required:

(To be completed by instructor)

Course practices include attending class, completing homework assignments, participating in discussions and taking quizzes and exams.

IX.

Instructional Materials:

Required Textbook:

Dugopolski - Precalculus 4/e
ISBN: 0-536-52917-5
Publisher: Addison Wesley

Required Materials: A graphics calculator is required. A TI-83 will be used for instructional purposes.

Methods of Evaluating Student Progress:

(To be determined and announced by the instructor)

Evaluation methods can include assignments, quizzes, chapter or major tests, individual or group projects, computer assignments and/or a final examination.

XI.

Other Course Information:

Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Effective Beginning Term	Fall	2003	Ending Term
	(term)	(year)		(term)	(year)
Prepared by:	Chair: R. G. McClarren; G. Liu; S. Hamed; N. Ressler; P. Boisvert; C. Murphy; S. Stock; C. Shapero			Date: 10/02
Reviewed by Department/ Program Chair	R. Sompolski			Date: 10/02
Approved by Dean:	J. Kotowski			Date: 10/02