# COURSE OUTLINE FOR INTERMEDIATE ALGEBRA

 Units Course Hours Per Week Nbr of Weeks Course Hours Total Max: 5.0 Lecture 5.0 17 (18) Lecture 90.0 Min: 5.0 Lab 0.0 Lab 0.0 Contact DHR 0.0 Contact DHR 0.0 Contact Total 5.0 Contact Total 90.0 Non-contact DHR 0.0 Non-contact DHR 0.0

Title 5 Category: 01 AA Degree Applic
Repeatability: 00 Not repeatable except under Sec. #58161b
Also listed as:

CATALOG DESCRIPTION:
Presents the first half of a two-semester course in in termediate algebra .
This course enables students to complete the equivalent of Intermediate
Algebra (MATH 27) at a s lower pace . Topics include factoring polynomial
expressions, simplifying rational expressions , absolute value equations and
inequalities, functions and relations, and solving systems of linear
equations and inequalities.

PREREQUISITES:
MATH 20D, MATH 22, MATH 23 or MATH 23SI or equivalent with a grade of C or
better or a recommending score on the Cuesta College Assessment Test

COREQUISITES:

RECOMMENDED PREPARATION:

LIMITS ON ENROLLMENT:

SCHEDULE OF CLASSES INFORMATION:
Prerequisites: MATH 20D, MATH 22, MATH 23 or MATH 23SI or equivalent with a
grade of C or better or a recommending score on the Cuesta College
Assessment Test
Presents the first half of a two-semester course in intermediate algebra.
This course enables students to complete Intermediate Algebra (MATH 27) at a
slower pace. Successful completion of MATH 26A and 26B is equivalent to
MATH 27. (Grade or CR/NC) Cost: \$5.00.

ARTICULATION and CERTIFICATE INFORMATION

 ASSOCIATE DEGREE: Effective: Inactive: Area: CSU GE: Transfer area: Effective: Inactive: GETC: Transfer area: Effective: Inactive: CSU TRANSFER: Effective: Inactive: UC TRANSFER: Effective: Inactive: CAN:

CERTIF/MAJOR APPLICABLE: N NOT A CERTIFICATE-APPLICABLE COURSE

APPROVAL AND DATES

 Version 01 Submitted by: J. BARCLAY Date: 10/25/2001 Department approved: Date: Curriculum approved: 12/07/2001 Version approved: 12/07/2001 Prerequisites approved: 12/07/2001 Last reviewed: 12/07/2001 Term effective: FALL 2002 Last taught: Inactive: SUMMER 2009

COURSE CONTENT
==============
OUTCOME AND OBJECTIVES:
Upon completion of this course the student will be able to:
1. Find the union and intersection of sets of numbers and intervals.
2. Solve linear equations and inequalities involving both absolute value
and literal forms .
3. Graph linear equations and find equations of lines. (Review)
4. Solve linear systems of equations in two or more variables by
elimination and substitution.
5. Add, subtract, multiply, and divide polynomial and rational
expressions.
6. Factor polynomials using factoring by trial and error, grouping,
sum and difference of cubes , difference of squares , perfect square
trinomials, and the AC method where appropriate. (Review)
7. Solve rational equations.
8. Solve equations involving variation and proportion .
9. Solve systems of linear inequalities by graphing.
10. Work successfully with expressions involving integer exponents.
(Review)
11. Apply the algebraic solving skills to solving word problems.
12. Find the sum, difference, product , quotient, and composition of two
functions.
13. Recognize relations and functions both linear and of higher degree.
14. Divide polynomials using synthetic division.
15. Simplify complex fractions.

TOPICS AND SCOPE:
THE REAL NUMBER SYSTEM
Sets and set notation
Union and intersection
Definition of absolute value

LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE
Solving literal equations and formulas
Interval notation
Solving linear equations and inequalities with absolute value
Finding equations of lines (Review)
Applications of linear equations

POLYNOMIAL EXPRESSIONS
Addition, subtraction, multiplication and division of polynomials
(Review)
Synthetic division
Factoring (Review)
Rules of integer exponents (Review)

RATIONAL EXPRESSIONS
Reducing and building rational expressions
Multiplication and division
Simplifying complex fractions
Solving rational equations
Applications (including variation and proportion)

SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
Solving systems of linear equations in two and three variables
Graphing systems of inequalities in two variables
Applications

RELATIONS AND FUNCTIONS
Relations and Functions
Functions and graphs
Linear functions
Rational exponents
Operations and composition of functions

ASSIGNMENTS:
Primarily College Level.
Library has resources needed for as signment completion .
2 hours of independent work done out of class per each hour of lecture or
class work, or 3 hours lab, practicum, or the equivalent, per unit.
A typical daily assignment consists of reading the appropriate section in
the text and completing assigned problems in the accompanying exercise
sets. Homework should include the full range of problems in the exercise
sets which can be accommodated by assigning every other odd numbered
problem.
Class participation and assignments require and develop critical thinking.
Critical thinking is required to solve most mathematical problems. Word
problems require students to apply what they have learned to a variety of
situations.

METHODS OF EVALUATION:

This is a degree-applicable course, but substantial writing assignments
are NOT appropriate, because the course primarily:
Is computational

The problem-solving assignments required:
Homework problems

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