COMPTON COMMUNITY COLLEGE

COURSE OUTLINE

Course Number MATH 5 Division Mathematics and Science

Course Title: Intermediate Algebra

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

Credit Status:

AA/AS: Non-Degree: X Certificate: NonCredit:

Transfer Code: UC: CSU: None: X

Prerequisite or Corequisite: Completion of MATH 3 or MATH 3B with a minimum

grade of "C".

Catalog Description:

This course is designed to further the student's basic skills in algebra and develop habits of accuracy. Opportunity is provided to develop new skills needed for advanced work in mathematics. The topics studied include: real number properties, polynomials, factoring, fractions, first degree equations, inequalities, exponents, rational expressions, radicals, quadratic equations, systems of linear equations, functions, graphs logarithms, sequences, series and the binomial expansion.

Needs/Justifications/Goals:

This course is designed to give students the ability to validate conclusions, read accurately and critically, express thoughts precisely and solve problems.

Course Outline Prepared by:

Ronny Alpern Date: June 30, 1999

Curriculum Committee Chair: Division Chair:

Janice Blume Dr. Donald Roach

DATE BOARD APPROVED:

TOP NO. 1701.00 USOE NO.00000000 CLASSIFICATION T5/55001(a)(1)(A)

CAN NO. NA SAM CODE E

Compton Community College June 30, 1999

Course Outline for MATH 5

Intermediate Algebra

I. Catalog Description

MATH 5, Intermediate Algebra 5 Units

This course is designed to further the student's basic skills in algebra and develop habits of accuracy. Opportunity is provided to develop new skills needed for advanced work in mathematics. The topics studied include: real number properties, polynomials, factoring, fractions, first degree equations, inequalities, exponents, rational expressions, radicals, quadratic equations, systems of linear equations, functions, graphs logarithms, sequences, series and the binomial expansion.

II. Expected Outcomes for Students

Upon successful completion of the course students should be able to perform the following activities with 70% accuracy.

A. Perform operations with polynomials.

B. Perform operations with radicals.

C. Simplify and perform operations with radical expressions.

D. Factor expressions.

E. Evaluate exponential and logarithmic functions.

F. Solve systems of linear and nonlinear equations.

G. Solve and graph inequalities.

H. Solve quadratic, exponential and logarithmic equations.

I. Graph functions and conic sections.

J. Find the terms and sum of sequences and series.

K. Use the binomial formula.

III. Course Content

A. Real numbers - basic properties and definition

B. Linear equations and inequalities in one variable

C. Formulas

MATH 5, Intermediate Algebra Page 2

D. Applications

E. Equations and inequalities with absolute value

F. Exponents - properties

G. Polynomials - sums, differences, multiplications and divisions

H. Factoring expressions

I. Solving equations by factoring

J. Rational expressions

K. Complex fractions

L. Equations involving rational expressions

M. Graphing in two dimensions

N. Linear equations and inequalities in two variables

O. Variations, rational exponents and radicals

P. Complex numbers

Q. Quadratic equations and inequalities, graphing parabola

R. System of linear equations in two and three variables

S. Determinants, Cramer's rule, matrices

T. Relations, functions and conic sections

U. Logarithms

V. Sequences, series and the binomial expansion

IV. Methods of Presentation

A. Lecture

B. Demonstration

C. Practice assignments

MATH 5, Intermediate Algebra Page 3

V. Assignments and Methods of Evaluation

A. Classwork

B. Homework assignments

C. Tests and quizzes

D. Final examination

VI. Textbook(s)

McKeague, Charles P. Intermediate Algebra. 5th Ed. New York, NY: Saunders

College Publishing. 1995.