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 Complex Numbers 1-7 Quadratic Equations 1-8 Linear and Absolute Value Inequalities Chapter 1 Highlights Chapter 1 Review Exercises Chapter 1 Test Concepts of Calculus: Limits 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 Concepts of Calculus: Instantaneous Rate of Change 3. Polynomial and Rational Functions 3-1 Quadratic Functions and Inequalities 3-2 Zeroes 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 Concepts of Calculus: Instantaneous Rate of Change of the Power Functions 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 Concepts of Calculus: The Instantaneous Rate of Change of f(x)= ex 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 Concepts of Calculus: Evaluating Transcendental Functions 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 Functions Chapter 6 Highlights Chapter 6 Review Exercises Chapter 6 Test Tying it all Together Concepts of Calculus: Area of A Circle and n 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 and Numbers 7-6 Polar Equations Chapter 7 Highlights Chapter 7 Review Exercises Chapter 7 Test Tying it all Together Concepts of Calculus: Limits and Asymptotes 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 Inequalities 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 Concepts of Calculus: Instantaneous Rate of Change and Partial Fractions 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 Solution of Linear Systems in Two Variables Using Determinants 9-6 Solution 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 Series 10-1 The Parabola 10-2 The Ellipse and the Circle 10-3 The Hyperbola 10-4 Rotation of Axes 10-5 Polar Equations of the Conics Chap.