Course Details - Mathematics and Statistics - Penn State Altoona

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