Topic 1 Preliminaries

1.1 Integer Exponents
1.2 Rational Exponents
1.3 Radicals
1.4 Polynomials
1.5 Factoring Polynomials
1.6 Rational Expressions
1.7 Complex Numbers

Topic 2 Solving Equations and Inequalities

2.1 Solutions and Solution Sets
2.2 Linear Equations
2.3 Applications of Linear Equations
2.4 Equations With More Than One Variable
2.5 Quadratic Equations, Part I
2.6 Quadratic Equations, Part II
2.7 Quadratic Equations : A Summary
2.8 Applications of Quadratic Equations
2.9 Equations Reducible to Quadratic Form
2.10 Equations with Radicals
2.11 Linear Inequalities
2.12 Polynomial Inequalities
2.13 Rational Inequalities
2.14 Absolute Value Equations
2.15 Absolute Value Inequalities

Topic 3 Graphing and Functions

3.1 Graphing
3.2 Lines
3.3 Circles
3.4 The Definition of a Function
3.5  Graphing Functions
3.6 Combining functions
3.1Inverse Functions

Topic 4 Common Graphs

4.1 Lines, Circles and Piecewise Functions
4.2 Parabolas
4.3 Ellipses
4.4 Hyperbolas
4.1Miscellaneous Functions
4.1Transformations
4.5 Rational Functions

Topic 5 Polynomial Functions

5.1 Dividing Polynomials
5.2  Zeroes/Roots of Polynomials
5.3 Graphing Polynomials
5.4 Finding Zeroes of Polynomials
5.5 Partial Fractions

Topic 6 Exponential and Logarithm Functions

6.1 Exponential Functions
6.2 Logarithm Functions
6.3 Solving Exponential Equations
6.4 Solving Logarithm Equations
6.5 Applications

Topic 7 Systems of Equations

7.1 Linear Systems with Two Variables
7.2Linear Systems with Three Variables
7.3 Augmented Matrices
7.4 More on the Augmented Matrix
7.5 Nonlinear Systems

David L. Heiserman, Editor

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Revised: June 06, 2015