Title Page Type Size
Preface 6 pdf 38 KB
Chapter 0: Basic Techniques
0.1: Entering Expressions Correctly 8 pdf 37 KB
0.1.1: Square Roots
0.1.2: Other Roots and Rational Exponents
0.1.3: How to Enter Expressions
0.2: Graphing Basics and Polynomial Functions 11 pdf 79 KB
0.2.1: Basic Ideas for Graphing
0.2.2: Polynomial Functions
0.3: Graphing Algebraic Functions 20 pdf 177 KB
0.3.1: Rational Functions
0.3.2: Absolute Value Functions
0.3.3: Circles
0.3.4: Radical Functions
0.4: Family of Functions/Equations 46 pdf 80 KB
0.4.1: Graphing a Family of Functions
0.4.2: Solutions for a Family of Equations
0.5: Graphing Piecewise-Defined Functions 56 pdf 104 KB
0.6: Graphing Transcendental Functions 67 pdf 134 KB
0.6.1: Exponential Functions
0.6.2: Logarithmic Functions
0.6.3: Trigonometric Functions
0.7: Graphing Features: Value (Eval), Zoom,
Trace, Maximum/Minimum, Intersect
83 pdf 113 KB
0.8: Various Calculator Settings 99 pdf 172 KB
0.8.1: Connected vs. Dot Mode
0.8.2: Format Function
0.8.3: Mode Settings
0.9: Solving Equations by Graphing 124 pdf 139 KB
0.9.1: x-intercept Method
0.9.2: Points of Intersection Method
0.10: Solving Inequalities by Graphing 147 pdf 99 KB
0.10.1: x-intercept Method
0.10.2: Points of Intersection Method
0.10.3: Caution! The following method is unacceptable!
0.11: Polar Graphing 160 pdf 45 KB
0.12: Solving Systems of Equations with Matrices 163 pdf 201 KB
0.13: Inverse Matrices 186 pdf 26 KB
1: Fundamentals 187 pdf 117 KB
1.1: Real Numbers
1.2: Exponents and Radicals
1.3: Algebraic Expressions
1.4: Rational Expressions
1.5: Equations
1.6: Modeling with Equations
1.7: Inequalities
1.8: Coordinate Geometry
1.9: Solving Equations and Inequalities Graphically
1.10: Lines
1.11: Modeling Variation
2: Functions 204 pdf 64 KB
2.1: What Is a Function?
2.2: Graphs of Functions
2.3: Increasing and Decreasing Functions; Average Rate of Change
2.4: Transformations of Functions
2.5: Quadratic Functions: Maxima and Minima
2.6: Modeling with Functions
2.7: Combining Functions
2.8: One-to-One Functions and Their Inverses
3: Polynomials and Rational Functions 213 pdf 59 KB
3.1: Polynomial Functions and Their Graphs
3.2: Dividing Polynomials
3.3: Real Zeros of Polynomials
3.4: Complex Numbers
3.5: Complex Zeros and the Fundamental Theorem of Algebra
3.6: Rational Functions
4: Exponential and Logarithmic Functions 223 pdf 47 KB
4.1: Exponential Functions
4.2: Logarithmic Functions
4.3: Laws of Logarithms
4.4: Exponential and Logarithmic Equations
4.5: Modeling with Exponential and Logarithmic Functions
5: Trigonometric Functions of Real Numbers 230 pdf 81 KB
5.1: The Unit Circle
5.2: Trigonometric Functions of Real Numbers
5.3: Trigonometric Graphs
5.4: More Trigonometric Graphs
5.5: Modeling Harmonic Motion
6: Trigonometric Functions of Angles 243 pdf 56 KB
6.1: Angle Measure
6.2: Trigonometry of Right Triangles
6.3: Trigonometric Functions of Angles
6.4: The Law of Sines
6.5: The Law of Cosines
7: Analytic Trigonometry 249 pdf 53 KB
7.1: Trigonometric Identities
7.2: Addition and Subtraction Formulas
7.3: Double-Angle and Half-Angle Formulas
7.4: Inverse Trigonometric Functions
7.5: Trigonometric Equations
8: Polar Coordinates and Vectors 257 pdf 21 KB
8.2: Graphs of Polar Equations
9: Systems of Equations and Inequalities 258 pdf 55 KB
9.1: Systems of Equations
9.2: Systems of Linear Equations in Two Variables
9.3: Systems of Linear Equations in Several Variables
9.4: Systems of Linear Equations: Matrices
9.5: The Algebra of Matrices
9.6: Inverses of Matrices and Matrix Equations
Appendix A: Frequently Asked Questions 265 pdf 34 KB
Appendix B: Common Errors 269 pdf 33 KB
Appendix C: Answers to Odd Exercises
Solutions for Chapter 1
272 pdf 136 KB
Solutions for Chapter 2
291 pdf 80 KB
Solutions for Chapter 3
302 pdf 68 KB
Solutions for Chapter 4
310 pdf 78 KB
Solutions for Chapter 5
322 pdf 34 KB
Solutions for Chapter 6
327 pdf 31 KB
Solutions for Chapter 7
330 pdf 55 KB
Solutions for Chapter 8
339 pdf 16 KB
Solutions for Chapter 9
340 pdf 35 KB