Compton Community College s1

COMPTON COMMUNITY COLLEGE COURSE OUTLINE

Course Number: MATH 26 Division: Mathematics and Science

Course Title: Precalculus Mathematics

Hours Lecture: 5 Hours Lab: 0 Weeks: 18 Units: 5

Associate Degree Credit: X Certificate Credit: Non-Credit:

Transfer Code: UC: X CSU: X None:

Prerequisite or Corequisite: Completion of MATH 6 with a minimum grade of “C”.

Catalog Description: This course, which prepares the student for calculus, covers trigonometry and college algebra. (CAN MATH 16)

Needs/Justifications/Goals: This course meets the General Education requirement, Area B, for the Associate of Arts and Associate of Science degrees and for the transfer pattern for UC/CSU. It is designed to enable students to validate conclusions, read accurately and critically, express thoughts precisely and solve problems.

Course Outline Prepared by: Mohomad N. Shaikh Date: May 5, 1999

Curriculum Committee Chair: Division Chair: Janice Blume Dr. Donald Roach

DATE BOARD APPROVED: 7/27/99

TOP NO.: 1701.00 USOE NO.: 00000000 CLASSIFICATION: T5/55001(a)(1)(B) CAN NO.: MATH 16 SAM CODE: E Compton Community College May 5, 1999 Course Outline for MATH 26

Precalculus Mathematics

I. Catalog Description MATH 26, Precalculus Mathematics 3 units This course, which prepares the students for calculus, covers trigonometry and college algebra. (CAN MATH 16)

II. Expected Outcomes for Students Upon successful completion of this course students should be able to perform the following activities with 70% accuracy.

A. Graph polynomials, inverse, rational, exponential, logarithmic, and trigonometric functions.

B. Solve trigonometric equations and prove trigonometric identities.

C. Solve triangles using the law of sines and cosines.

D. Perform operations with complex numbers.

E. Solve systems of equations and inequalities.

F. Find zeros of polynomials.

G. Prove identities by mathematical induction.

H. Find the terms and sum of an arithmetic or geometric series.

I. Use the binomial theorem.

J. Solve problems using the remainder and factor theorems.

K. Find partial fractions.

III. Course Content

A. Functions

B. Graphing; inverse functions MATH 26, Precalculus Mathematics Page 2 C. Applications of functions

D. Quadratic inequalities, polynomials, factoring

E. Division of polynomials, long and synthetic

F. Zeros of a polynomial

G. Graphs of polynomial and rational functions, exponents

H. Exponential and logarithmic functions

I. Trigonometric functions

J. Laws of sines and cosines

K. Trigonometric identities

L. Graphs, equations and inverse trigonometric functions

M. System of linear equations

N. Matrices and determinants

O. Non-linear system of equations; inequalities

P. Analytic geometry of conic sections

Q. Mathematical induction, binomial theorem

R. Sequences and series

S. Partial fractions

T. Review

IV. Method of Presentation

A. Lecture

MATH 26, Precalculus Mathematics Page 3 V. Assignments and Methods of Evaluation

A. Classwork assignments

B. Homework assignments

C. Chapter tests and quizzes

D. Comprehensive final examination

VI. Text(s)

Cohen, David. Precalculus. 5th Ed. New York, NY: West Publishing Co. 1997.