Description: P. Prerequisites P.1 Real Numbers and Their Properties P.2 Integral Exponents and Scientific Notations P.3 Rational Exponents and Radicals P.4 Polynomials P.5 Factoring Polynomials P.6 Rational Expressions P.7 Complex Numbers Chapter P Highlights Chapter P Review Exercises Chapter P Test 1. Equations, Inequalities, and Modeling 1.1 Equations in One Variable 1.2 Constructing Models to Solve Problems 1.3 Equations and Graphs in Two Variables 1.4 Linear Equations in Two Variables 1.5 Scatter Diagrams and Curve Fitting 1.6 Quadratic Equations 1.7 Linear and Absolute Value Inequalities Chapter 1 Highlights Chapter 1 Review Exercises Chapter 1 Test Tying it all Together 2. Functions and Graphs 2.1 Functions 2.2 Graphs of Relations and Functions 2.3 Families of Functions, Transformations, and Symmetry 2.4 Operations with Functions 2.5 Inverse Functions 2.6 Constructing Functions with Variation Chapter 2 Highlights Chapter 2 Review Exercises Chapter 2 Test Tying it all Together 3. Polynomial and Rational Functions 3.1 Quadratic Functions and Inequalities 3.2 Zeros of Polynomial Functions 3.3 The Theory of Equations 3.4 Miscellaneous Equations 3.5 Graphs of Polynomial Functions 3.6 Rational Functions and Inequalities Chapter 3 Highlights Chapter 3 Review Exercises Chapter 3 Test Tying it all Together 4. Exponential and Logarithmic Functions 4.1 Exponential Functions and Their Applications 4.2 Logarithmic Functions and Their Applications 4.3 Rules of Logarithms 4.4 More Equations and Applications Chapter 4 Highlights Chapter 4 Review Exercises Chapter 4 Test Tying it all Together 5. The Trigonometric Functions 5.1 Angles and Their Measurements 5.2 The Sine and Cosine Functions 5.3 The Graphs of the Sine and Cosine Functions 5.4 The Other Trigonometric Functions and Their Graphs 5.5 The Inverse Trigonometric Functions 5.6 Right Triangle Trigonometry Chapter 5 Highlights Chapter 5 Review Exercises Chapter 5 Test Tying it all Together 6. Trigonometric Identities and Conditional Equations 6.1 Basic Identities 6.2 Verifying Identities 6.3 Sum and Difference Identities 6.4 Double-Angle and Half-Angle Identities 6.5 Product and Sum Identities 6.6 Conditional Trigonometric Equations Chapter 6 Highlights Chapter 6 Review Exercises Chapter 6 Test Tying it all Together 7. Applications of Trigonometry 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Vectors 7.4 Trigonometric Form of Complex Numbers 7.5 Powers and Roots of Complex Numbers 7.6 Polar Coordinates (Equations?) 7.7 Parametric Equations Chapter 7 Highlights Chapter 7 Review Exercises Chapter 7 Test Tying it all Together 8. Systems of Equations and Inequalities 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Nonlinear Systems of Equations 8.4 Partial Fractions 8.5 Inequalities and Systems of Inequalities in Two Variables 8.6 The Linear Programming Model Chapter 8 Highlights Chapter 8 Review Exercises Chapter 8 Test Tying it all Together 9. Matrices and Determinants 9.1 Solving Linear Systems Using Matrices 9.2 Operations with Matrices 9.3 Multiplication of Matrices 9.4 Inverses of Matrices 9.5 Solutions of Linear Systems in Two Variables Using Determinants 9.6 Solutions of Linear Systems in Three Variables Using Determinants Chapter 9 Highlights Chapter 9 Review Exercises Chapter 9 Test Tying it all Together 10. The Conic Sections 10.1 The Parabola 10.2 The Ellipse and the Circle 10.3 The Hyperbola Chapter 10 Highlights Chapter 10 Review Exercises Chapter 10 Test Tying it all Together 11. Sequences, Series, and Probability 11.1 Sequences 11.2 Series 11.3 Geometric Sequences and Series 11.4 Counting and Permutations 11.5 Combinations, Labeling, and the Binomial Theorem 11.6 Probability 11.7 Mathematical Induction Chapter 11 Highlights Chapter 11 Review Exercises Chapter 11 Test Appendix: Solutions to "Try This" Exercises Answers Credits Index of Applications Index

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