1. FOUNDATIONS AND FUNDAMENTALS Number Systems and Estimation / Introduction to Coordinate Geometry / Properties and Operations / Integer Exponents / Polynomial Expressions / Factoring Polynomials / Rational Expressions / Radicals and Rational Exponents / Chapter Review / Chapter Test 2. EQUATIONS AND INEQUALITIES Graphs of Equations / Techniques for Solving Equations / Linear Equations and Inequalities / Absolute-Value Equations and Inequalities / Polynomial Equations and Inequalities / Quadratic Equations / Rational and Radical Equations and Inequalities / Systems of Equations / Chapter Review / Chapter Test 3. FUNCTIONS AND THEIR GRAPHS Lines / Functions / Graphs of Functions / Combinations of Functions / Inverses of Functions / Selected Functions / Modeling with Functions and Variations / Chapter Review / Chapter Test 4. POLYNOMIALS AND RATIONAL FUNCTIONS Polynomial Functions / Division of Polynomials / Zeros and Factors of Polynomials / Real Zeros of Polynomials / Rational Functions / Chapter Review / Chapter Test 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions / Logarithmic Functions / Logarithmic Identities and Equations / Exponential Equations and Applications / Modeling with Exponential and Logarithmic Functions / Chapter Review / Chapter Test 6. TRIGONOMETRIC FUNCTIONS Angles and Their Measurements / Trigonometric Functions of Acute Angles / Trigonometric Functions of Real Numbers / Graphs of Sine and Cosine / Graphs of Other Trigonometric Functions / Inverse Trigonometric Functions / Chapter Review / Chapter Test 7. TRIGONOMETRIC IDENTITIES AND EQUATIONS Fundamental Trigonometric Identities / Sum and Difference Identities / Double-Angle and Half-Angle Identities / Conditional Trigonometric Equations / Chapter Review / Chapter Test 8. APPLICATIONS OF TRIGONOMETRY The Law of Sines / The Law of Cosines / Trigonometric Form of Complex Numbers / Powers and Roots of Complex Numbers / Polar Coordinates / Vectors / Chapter Review / Chapter Test 9. RELATIONS AND CONIC SECTIONS Relations and Their Graphs / Parabolas / Ellipses / Hyperbolas / Rotation of Axes / Parametric Equations / Chapter Review / Chapter Test 10. SYSTEMS OF EQUATIONS AND INEQUALITIES Matrices / Linear Systems and Matrices / Gaussian and Gauss-Jordan Elimination / Inverses of Square Matrices / Determinants and Cramer's Rule / Systems of Inequalities / Linear Programming / Chapter Review / Chapter Test 11. INTEGER FUNCTIONS AND PROBABILITY Sequences / Series / Permutations and Combinations / Probability / The Binomial Theorem / Mathematical Induction / Chapter Review / Chapter Test / ANSWERS / INDEX OF APPLICATIONS / INDEX / CREDITS
