Each chapter ends with a Summary | |
Review Exercises | |
Test, and an Internet Project | |
Algebraic Expressions. | |
Real Numbers and Their Properties | |
Order and Absolute Value | |
Polynomials | |
The Binomial Theorem | |
Factoring Polynomials | |
Rational Expressions | |
Rational Exponents | |
Radical Expressions | |
Equations and Inequalities | |
Linear Equations | |
Linear Applications and Modeling | |
Complex Numbers | |
Quadratic Equations | |
Quadratic Applications and Modeling | |
Other Types of Equations | |
Inequalities | |
Absolute Value Equations and Inequalities | |
Relations, Functions, and Graphs | |
Relations and the Rectangular Coordinate System | |
Circles | |
Functions | |
Linear Functions | |
Equations of Lines | |
Curve Fitting | |
Graphs of Relations and Functions | |
General Graphing Techniques | |
Operations and Composition | |
Polynomial and Rational Functions | |
Quadratic Functions | |
Curve Fitting | |
Synthetic Division | |
Zeros of Polynomial Functions | |
Polynomials Functions: Graphs, Applications, and Models | |
Rational Functions: Graphs, Applications, and Models | |
Variation | |
Exponential and Logarithmic Functions | |
Inverse Functions | |
Exponential Functions | |
Logarithmic Functions | |
Evaluating Logarithms and the Change-of-Base Theorem | |
Exponential and Logarithmic Equations | |
Applications and Models of Exponential Growth and Decay | |
Systems of Equations and Inequalities | |
Linear Systems of Equations | |
Matrix Solution of Linear Systems | |
Determinant Solution of Linear Systems | |
Partial Fractions | |
Nonlinear Systems | |
Systems of Inequalities and Linear Programming | |
Properties of Matrices | |
Matrix Inverses | |
Analytic Geometry | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Summary of the Conic Sections | |
Further Topics in Algebra | |
Sequences and Series | |
Arithmetic Sequences and Series | |
Geometric Sequences and Series | |
The Binomial Theorem Revisited | |
Mathematical Induction | |
Counting Theory | |
Basics of Probability | |
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