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Category : Higher Education
1. Graphs and Functions Table of Contents
1.1 The Distance and Midpoint Formulas
Chapter 1 Review, Test, and Projects
1.2 Graphs of Equations; Circles
1.3 Functions and Their Graph
1.4 Properties of Functions
1.5 Library of Functions; Piecewise-defined Functions
1.6 Graphing Techniques: Transformations
1.7 One-to-One Functions; Inverse Functions2.1 Angles, Arc, Length, and Circular Motion
Chapter 2 Review, Test, and Projects
2.2 Trigonometric Functions: Unit Circle Approach
2.3 Properties of the Trigonometric Functions
2.4 Graphs of the Sine and Cosine Functions
2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
2.6 Phase Shift; Sinusoidal Curve Fitting3.1 The Inverse Sine, Cosine, and Tangent Functions
Chapter 3 Review, Test, and Projects
3.2 The Inverse Trigonometric Functions (Continued)
3.3 Trigonometric Equations
3.4 Trigonometric Identities
3.5 Sum and Difference Formulas
3.6 Double-angle and Half-angle Formulas
3.7 Product-to-Sum and Sum-to-Product Formulas
4. Applications of Trigonometric Functions4.1 Right Triangle Trigonometry; Applications
Chapter 4 Review, Test, and Projects
4.2 The Law of Sines
4.3 The Law of Cosines
4.4 Area of a Triangle
4.5 Simple Harmonic Motion; Damped Motion; Combining Waves5.1 Polar Coordinates
Chapter 5 Review, Test, and Projects
5.2 Polar Equations and Graphs
5.3 The Complex Plane; De Moivre’s Theorem
5.4 Vectors
5.5 The Dot Product6.1 Conics
Chapter 6 Review, Test, and Projects
6.2 The Parabola
6.3 The Ellipse
6.4 The Hyperbola
6.5 Rotation of Axes; General Form of a Conic
6.6 Polar Equations of Conics
6.7 Plane Curves and Parametric Equations7.1 Exponential Functions
Chapter 7 Review, Test, and Projects
7.2 Logarithmic Functions
7.3 Properties of Logarithms
7.4 Logarithmic and Exponential Equations
7.5 Financial Models
7.6 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay
7.7 Building Exponential, Logarithmic, and Logistic Models from Data
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Factoring Polynomials; Completing the Square
A.4 Solving Equations
A.5 Complex Numbers; Quadratic Equations in the Complex Number System
A.6 Interval Notation; Solving Inequalities
A.7 nth Roots; Rational Exponents
A.8 Lines
A.9 Building Linear Models from Data
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts
and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric Equations
Credits
Index
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