## 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.

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

**Suggested Textbook:**

Carl Stitz & Jeff Zeager: College Algebra, 3rd (corrected) Edition. This is a FREE open source textbook endorsed by the American Institute of Mathematics as part of their Open Textbook Initiative. Download at http://www.stitz-zeager.com/szca07042013.pdf. If desired, printed copies of the book may be purchased on Lulu.com.*Check with your instructor to make sure this is the textbook used for your section.*

**Topics:**

1 Relations and Functions

1.1 Sets of Real Numbers and the Cartesian Coordinate Plane

1.2 Relations

1.3 Introduction to Functions

1.4 Function Notation

1.5 Function Arithmetic

1.6 Graphs of Functions

1.7 Transformations

2 Linear and Quadratic Functions

2.1 Linear Functions

2.2 Absolute Value Functions

2.3 Quadratic Functions

2.4 Inequalities with Absolute Value and Quadratic Functions

3 Polynomial Functions

3.1 Graphs of Polynomials

3.2 The Factor Theorem and the Remainder Theorem

3.3 Real Zeros of Polynomials

4 Rational Functions

4.1 Introduction to Rational Functions

4.2 Graphs of Rational Functions

4.3 Rational Inequalities and Applications

5 Further Topics in Functions

5.1 Function Composition

5.2 Inverse Functions

5.3 Other Algebraic Functions

6 Exponential and Logarithmic Functions

6.1 Introduction to Exponential and Logarithmic Functions

6.2 Properties of Logarithms

6.3 Exponential Equations and Inequalities

6.4 Logarithmic Equations and Inequalities

6.5 Applications of Exponential and Logarithmic Functions