## Math 022

### College Algebra II and Analytic Geometry

**3 credits**

**Blue Book Description:** Relations, functions, graphs; polynomial, rational functions, graphs; word problems; nonlinear inequalities; inverse functions; exponential, logarithmic functions; conic sections; simultaneous equations.

**Pre-requisites:** MATH 021 or satisfactory performance on the mathematics proficiency examination (score at least 13 on MATH 040 SOAR test).

**Pre-requisite for:** MATH 110, MATH 140

**Suggested Textbook:**

College Algebra, 8th edition, by Sullivan, published by Pearson Prentice Hall, ISBN: 0-13-240286-6*Check with your instructor to make sure this is the textbook used for your section.*

**Topics:**

Chapter R Review

R.1 Real Numbers

R.2 Algebra Essentials

R.3 Geometry Essentials

R.4 Polynomials

R.5 Factoring Polynomials

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

Chapter 1 Equations and Inequalities

1.1 Linear Equations

1.2 Quadratic Equations

1.3 Complex Numbers; Quadratic Equations in the Complex Number System

1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations

1.5 Solving Inequalities

1.6 Equations and Inequalities Involving Absolute Value

1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications

Chapter 2 Graphs

2.1 The Distance and Midpoint Formulas

2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

2.3 Lines

2.4 Circles

Chapter 3 Functions and Their Graphs

3.1 Functions

3.2 Graph of a Function

3.3 Properties of Functions

3.4 Piecewise-defined Functions

3.5 Graphing Techniques

3.6 Mathematical Models

Chapter 4 Linear and Quadratic Functions

4.1 Linear Functions

4.3 Quadratic Functions

4.4 Quadratic Models; Building Quadratic Functions from Data

4.5 Inequalities involving Quadratic Functions

Chapter 5 Polynomial and Rational Functions

5.1 Polynomial Functions and models

5.2 Properties of Rational Functions

5.3 Graph of Rational Functions

5.4 Polynomial and Rational Inqualities

5.5 Real Zeros of a Polynomial Function

Chapter 6 Exponential and Logarithmic Functions

6.1 Composite Functions

6.2 One-to One Functions; Inverse Functions

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

6.6 Logarithmic and Exponential Equations

6.7 Compound Interest

6.8 Exponential, Logistic Growth/Decay