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| Review of Basic Concepts | |
| Sets | |
| Real Numbers and Their Properties | |
| Polynomials | |
| Factoring Polynomials | |
| Rational Expressions | |
| Rational Exponents | |
| Radical Expressions | |
| Equations and Inequalities | |
| Linear Equations | |
| Applications and Modeling with Linear Equations | |
| Complex Numbers | |
| Quadratic Equations | |
| Applications and Modeling with Quadratic Equations | |
| Other Types of Equations and Applications | |
| Inequalities | |
| Absolute Value Equations and Inequalities | |
| Graphs and Functions | |
| Rectangular Coordinates and Graphs | |
| Circles.Functions.Linear Functions | |
| Equations of Lines; Curve Fitting | |
| Graphs of Basic Functions | |
| Graphing Techniques | |
| Function Operations and Composition | |
| Polynomial and Rational Functions.Quadratic Functions and Models | |
| Synthetic Division | |
| Zeros of Polynomial Functions | |
| Polynomial Functions: Graphs, Applications, and Models | |
| Rational Functions: Graphs, Applications, and Models | |
| Variation | |
| Inverse, 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 | |
| Trigonometric Functions.Angles | |
| Trigonometric Functions | |
| Evaluating Trigonometric Functions | |
| Solving Right Triangles | |
| The Circular Functions and Their Graphs | |
| Radian Measure | |
| The Unit Circle and Circular Functions | |
| Graphs of the Sine and Cosine Functions | |
| Translations of the Graphs of the Sine and Cosine Functions | |
| Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions | |
| Harmonic Motion | |
| Trigonometric Identities and Equations | |
| Fundamental Identities | |
| Verifying Trigonometric Identities | |
| Sum and Difference Identities | |
| Double-Angleand Half-Angle Identities | |
| Inverse Circular Functions | |
| Trigonometric Equations | |
| Equations Involving Inverse Trigonometric Functions | |
| Applications of Trigonometry | |
| The Law of Sines | |
| The Law of Cosines | |
| Vectors, Operations, and the Dot Product | |
| Applications of Vectors | |
| Trigonometric (Polar) Form of Complex Numbers; Products and Quotients | |
| DeMoivre's Theorem; Powers and Roots of Complex Numbers | |
| Polar Equations and Graphs | |
| Parametric Equations, Graphs, and Applications | |
| Systems and Matrices | |
| Systems of Linear Equations | |
| Matrix Solution of Linear Systems | |
| Determinant Solution of Linear Systems | |
| Partial Fractions | |
| Nonlinear Systems of Equations | |
| 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 | |
| Mathematical Induction | |
| Counting Theory | |
| Basics of Probability | |
| Polar Form of Conic Sections | |
| Appendix | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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