Table of Contents:
P. BASIC CONCEPTS OF ALGEBRA P.1 The Real Numbers and Their Properties P.2 Integer Exponents and Scientific Notation P.3 Polynomials P.4 Factoring Polynomials P.5 Rational Expressions P.6 Rational Exponents and Radicals Chapter P Review and Tests Review Exercises Practice Test 1. EQUATIONS AND INEQUALITIES 1.1 Linear Equations in One Variable 1.2 Applications of Linear Equations: Modeling 1.3 Quadratic Equations 1.4 Complex Numbers: Quadratic Equations with Complex Solutions 1.5 Solving Other Types of Equations 1.6 Inequalities 1.7 Equations and Inequalities Involving Absolute Value Chapter 1 Review and Tests Review Exercises Practice Test A Practice Test B 2. GRAPHS AND FUNCTIONS 2.1 The Coordinate Plane 2.2 Graphs of Equations 2.3 Lines 2.4 Functions 2.5 Properties of Functions 2.6 A Library of Functions 2.7 Transformations of Functions 2.8 Combining Functions; Composite Functions 2.9 Inverse Functions Chapter 2 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—2 3. POLYNOMIAL AND RATIONAL FUNCTIONS 3.1 Quadratic Functions 3.2 Polynomial Functions 3.3 Dividing Polynomials 3.4 The Real Zeros of a Polynomial Function 3.5 The Complex Zeros of a Polynomial Function 3.6 Rational Functions 3.7 Variation Chapter 3 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—3 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Rules of Logarithms 4.4 Exponential and Logarithmic Equations and Inequalities 4.5 Logarithmic Scales; Modeling Chapter 4 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—4 5. TRIGONOMETRIC FUNCTIONS 5.1 Angles and Their Measure 5.2 Right-Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle; The Unit Circle 5.4 Graphs of the Sine and Cosine Functions 5.5 Graphs of the Other Trigonometric Functions 5.6 Inverse Trigonometric Functions Chapter 5 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—5   6. TRIGONOMETRIC IDENTITIES AND EQUATIONS 6.1 Trigonometric Identities 6.2 Sum and Difference Formulas 6.3 Double-Angle and Half-Angle Formulas 6.4 Product-to-Sum and Sum-to-Product Formulas 6.5 Trigonometric Equations I 6.6 Trigonometric Equations II Chapter 6 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—6 7. APPLICATIONS OF TRIGONOMETRIC FUNCTIONS 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Areas of Polygons Using Trigonometry 7.4 Vectors 7.5 The Dot Product 745 7.6 Polar Coordinates 756 7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem Chapter 7 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—7 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 Partial-Fraction Decomposition 8.4 Systems of Nonlinear Equations 8.5 Systems of Inequalities 8.6 Linear Programming Chapter 8 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—8 9. MATRICES AND DETERMINANTS 9.1 Matrices and Systems of Equations 9.2 Matrix Algebra 9.3 The Matrix Inverse 9.4 Determinants and Cramer’s Rule Chapter 9 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—9 10. CONIC SECTIONS 10.1 Conic Sections: Overview 10.2 The Parabola 10.3 The Ellipse 10.4 The Hyperbola Chapter 10 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—10 11. FURTHER TOPICS IN ALGEBRA 11.1 Sequences and Series 11.2 Arithmetic Sequences; Partial Sums 11.3 Geometric Sequences and Series 11.4 Mathematical Induction 11.5 The Binomial Theorem 11.6 Counting Principles 11.7 Probability Chapter 11 Review and Tests Review Exercises Practice Test A Practice Test B Cumulative Review Exercises Chapters P—11 Answers to Selected Exercises Credits Index