Algebra and Trigonometry 2E

CHAPTER 0 PREREQUISITES AND REVIEW 0.1 Real Numbers 0.2 Integer Exponents and Scientific Notation 0.3 Polynomials: Basic Operations 0.4 Factoring Polynomials 0.5 Rational Expressions 0.6 Rational Exponents and Radicals 0.7 Complex Numbers Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 1 EQUATIONS AND INEQUALITIES 1.1 Linear Equations 1.2 Applications Involving Linear Equations 1.3 Quadratic Equations 1.4 Other Types of Equations 1.5 Linear Inequalities 1.6 Polynomial and Rational Inequalities 1.7 Absolute Value Equations and Inequalities Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 2 GRAPHS 2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint 2.2 Graphing Equations: Point-Plotting, Intercepts and Symmetry 2.3 Lines 2.4 Circles Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 3 FUNCTIONS AND THEIR GRAPHS 3.1 Functions 3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change 3.3 Graphing Techniques: Transformations 3.4 Operation on Functions and Composition of Functions 3.5 One-to-One Functions and Inverse Functions 3.6 Modeling Functions Using Variation Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 4 POLYNOMIAL AND RATIONAL FUNCTIONS 4.1 Quadratic Functions 4.2 Polynomial Functions of Higher Degree 4.3 Dividing Polynomials: Long Division and Synthetic Division 4.4 The Real Zeros of a Polynomial Function 4.5 Complex Zeros; The Fundamental Theorem of Algebra 4.6 Rational Functions Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 5.1 Exponential Functions and Their Graphs 5.2 Exponential Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 6 TRIGONOMETRIC FUNCTIONS 6.1 Angles, Degrees and Triangles 6.2 Definition 1 of Trigonometric Functions: Right Triangle Ratios 6.3 Applications of Right Triangle Trigonometry: Solving Right Triangles 6.4 Definition 2 of Trigonometric Functions: Cartesian Plane 6.5 Trigonometric Functions of Non-Acute Angles 6.6 Radian Measure and Applications 6.7 Definition 3 of Trigonometric Functions: Unit Circle Approach 6.8 Graphs of Sine and Cosine Functions 6.9 Graphs of Other Trigonometric Functions Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 7 ANALYTIC TRIGONOMETRY 7.1 Basic Trigonometric Identities 7.2 Verifying Trigonometric Identities 7.3 Sum and Difference Identities 7.4 Double-Angle Identities 7.5 Half-Angle Identities 7.6 Product-to-Sum and Sum-to-Product Identities 7.7 Inverse Trigonometric Functions 7.8 Trigonometric Equations Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 8 ADDITIONAL TOPIC IN TRIGONOMETRY 8.1 Oblique Triangles and The Law of Sines 8.2 The Law of Cosines 8.3 Area of a Triangle 8.4 Vectors 8.5 Dot Product 8.6 Polar (Trigonometric) Form of Complex Numbers 8.7 Products, Quotients, Powers and Roots of Complex Numbers 8.8 Polar Equations and Graphs Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 9 SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES 9.1 Systems of Linear Equations in Two Variables 9.2 Systems of Linear Equations in Three Variables 9.3 Partial Fractions 9.4 Systems of Linear Inequalities in Two Variables 9.5 The Linear Programming Model Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 10 MATRICES 10.1 Matrices and Systems of Linear Equations 10.2 Matrix Algebra 10.3 Matrix Equations; The Inverse of a Square Matrix 10.4 The Determinant of a Square Matrix and Cramer's Rule Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 11 ANALYTIC GEOMETRY 11.1 Conic Basics 11.2 The Parabola 11.3 The Ellipse 11.4 The Hyperbola 11.5 Systems of Nonlinear Equations 11.6 Systems of Nonlinear Inequalities 11.7 Rotation of Axes 11.8 Polar Equations of Conics 11.9 Parametric Equations and Graphs Modeling Your World Review Review Exercises Practice Test Cumulative Test CHAPTER 12 SEQUENCES, SERIES, AND PROBABILITY 12.1 Sequences and Series 12.2 Arithmetic Sequences and Series 12.3 Geometric Sequences and Series 12.4 Mathematical Induction 12.5 Binomial Theorem 12.6 Counting, Permutations, and Combinations 12.7 Probability Modeling Your World Review Review Exercises Practice Test Cumulative Test