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R. Review of Basic Concepts R-1 Sets R-2 Real Numbers and Their Properties R-3 Polynomials R-4 Factoring Polynomials R-5 Rational Expressions R-6 Rational Exponents R-7 Radical Expressions 1. Equations and Inequalities 1-1 Linear Equations 1-2 Applications and Modeling with Linear Equations 1-3 Complex Numbers 1-4 Quadratic Equations 1-5 Applications and Modeling with Quadratic Equations 1-6 Other Types of Equations and Applications 1-7 Inequalities 1-8 Absolute Value Equations and Inequalities 2. Graphs and Functions 2-1 Rectangular Coordinates and Graphs 2-2 Circles 2-3 Functions 2-4 Linear Functions 2-5 Equations of Lines and Linear Models 2-6 Graphs of Basic Functions 2-7 Graphing Techniques 2-8 Function Operations and Composition 3. Polynomial and Rational Functions 3-1 Quadratic Functions and Models 3-2 Synthetic Division 3-3 Zeros of Polynomial Functions 3-4 Polynomial Functions: Graphs, Applications, and Models 3-5 Rational Functions: Graphs, Applications, and Models 3-6 Variation 4. Inverse, Exponential, and Logarithmic Functions 4-1 Inverse Functions 4-2 Exponential Functions 4-3 Logarithmic Functions 4-4 Evaluating Logarithms and the Change-of-Base Theorem 4-5 Exponential and Logarithmic Equations 4-6 Applications and Models of Exponential Growth and Decay 5. Systems and Matrices 5-1 Systems of Linear Equations 5-2 Matrix Solution of Linear Systems 5-3 Determinant Solution of Linear Systems 5-4 Partial Fractions 5-5 Nonlinear Systems of Equations 5-6 Systems of Inequalities and Linear Programming 5-7 Properties of Matrices 5-8 Matrix Inverses 6. Analytic Geometry 6-1 Parabolas 6-2 Ellipses 6-3 Hyperbolas 6-4 Summary of the Conic Sections 7. Further Topics in Algebra 7-1 Sequences and Series 7-2 Arithmetic Sequences and Series 7-3 Geometric Sequences and Series 7-4 The Binomial Theorem 7-5 Mathematical Induction 7-6 Counting Theory 7-7 Basics of Probability Glossary Solutions to Selected Exercises Answers to Selected Exercises Table of Contents
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