- Chapter 1: Fundamentals
- Section 1.1: Real Numbers
- Section 1.2: Exponents and Radicals
- Section 1.3: Algebraic Expressions
- Section 1.4: Rational Expressions
- Section 1.5: Equations
- Section 1.6: Complex Numbers
- Section 1.7: Modeling with Equations
- Section 1.8: Inequalities
- Section 1.9: The Coordinate Plane; Graphs of Equations; Circles
- Section 1.10: Lines
- Section 1.11: Solving Equations and Inequalities Graphically
- Section 1.12: Modeling Variation

- Chapter 2: Functions
- Section 2.1: Functions
- Section 2.2: Graphs of Functions
- Section 2.3: Getting Information from the Graph of a Function
- Section 2.4: Average Rate of Change of a Function
- Section 2.5: Linear Functions and Models
- Section 2.6: Transformations of Functions
- Section 2.7: Combining Functions
- Section 2.8: One-to-One Functions and Their Inverses

- Chapter 3: Polynomial and Rational Functions
- Section 3.1: Quadratic Functions and Models
- Section 3.2: Polynomial Functions and Their Graphs
- Section 3.3: Dividing Polynomials
- Section 3.4: Real Zeros of Polynomials
- Section 3.5: Complex Zeros and the Fundamental Theorem of Algebra
- Section 3.6: Rational Functions
- Section 3.7: Polynomial and Rational Inequalities

- Chapter 4: Exponential and Logarithmic Functions
- Section 4.1: Exponential Functions
- Section 4.2: The Natural Exponential Function
- Section 4.3: Logarithmic Functions
- Section 4.4: Laws of Logarithms
- Section 4.5: Exponential and Logarithmic Equations
- Section 4.6: Modeling with Exponential Functions
- Section 4.7: Logarithmic Scales

- Chapter 5: Trigonometric Functions: Unit Circle Approach
- Section 5.1: The Unit Circle
- Section 5.2: Trigonometric Functions of Real Numbers
- Section 5.3: Trigonometric Graphs
- Section 5.4: More Trigonometric Graphs
- Section 5.5: Inverse Trigonometric Functions and Their Graphs
- Section 5.6: Modeling Harmonic Motion

- Chapter 6: Trigonometric Functions: Right Triangle
Approach
- Section 6.1: Angle Measure
- Section 6.2: Trigonometry of Right Triangles
- Section 6.3: Trigonometric Functions of Angles
- Section 6.4: Inverse Trigonometric Functions and Right Triangles
- Section 6.5: The Law of Sines
- Section 6.6: The Law of Cosines

- Chapter 7: Analytic Trigonometry
- Section 7.1: Trigonometric Identities
- Section 7.2: Addition and Subtraction Formulas
- Section 7.3: Double-Angle, Half-Angle, and Product-Sum Formulas
- Section 7.4: Basic Trigonometric Equations
- Section 7.5: More Trigonometric Equations

- Chapter 8: Polar Coordinates and Parametric Equations
- Section 8.1: Polar Coordinates
- Section 8.2: Graphs of Polar Equations
- Section 8.3: Polar Form of Complex Numbers; De Moivre's Theorem
- Section 8.4: Plane Curves and Parametric Equations

- Chapter 9: Vectors in Two and Three Dimensions
- Section 9.1: Vectors in Two Dimensions
- Section 9.2: The Dot Product
- Section 9.3: Three-Dimensional Coordinate Geometry
- Section 9.4: Vectors in Three Dimensions
- Section 9.5: The Cross Product
- Section 9.6: Equations of Lines and Planes

- Chapter 10: Systems of Equations and Inequalities
- Section 10.1: Systems of Linear Equations in Two Variables
- Section 10.2: Systems of Linear Equations in Several Variables
- Section 10.3: Matrices and Systems of Linear Equations
- Section 10.4: The Algebra of Matrices
- Section 10.5: Inverses of Matrices and Matrix Equations
- Section 10.6: Determinants and Cramer's Rule
- Section 10.7: Partial Fractions
- Section 10.8: Systems of Nonlinear Equations
- Section 10.9: Systems of Inequalities

- Chapter 11: Conic Sections
- Section 11.1: Parabolas
- Section 11.2: Ellipses
- Section 11.3: Hyperbolas
- Section 11.4: Shifted Conics
- Section 11.5: Rotation of Axes
- Section 11.6: Polar Equations of Conics

- Chapter 12: Sequences and Series
- Section 12.1: Sequences and Summation Notation
- Section 12.2: Arithmetic Sequences
- Section 12.3: Geometric Sequences
- Section 12.4: Mathematics of Finance
- Section 12.5: Mathematical Induction
- Section 12.6: The Binomial Theorem

- Chapter 13: Limits: A Preview of Calculus
- Section 13.1: Finding Limits Numerically and Graphically
- Section 13.2: Finding Limits Algebraically
- Section 13.3: Tangent Lines and Derivatives
- Section 13.4: Limits at Infinity; Limits of Sequences
- Section 13.5: Areas

Section 1.1 | Section 1.2 | ||||||
---|---|---|---|---|---|---|---|

Exercise 1 | Exercise 31 | Exercise 61 | Exercise 91 | Exercise 1 | Exercise 31 | Exercise 61 | Exercise 91 |

Exercise 2 | Exercise 32 | Exercise 62 | Exercise 92 | Exercise 2 | Exercise 32 | Exercise 62 | Exercise 92 |

Exercise 3 | Exercise 33 | Exercise 63 | Exercise 93 | Exercise 3 | Exercise 33 | Exercise 63 | Exercise 93 |

Exercise 4 | Exercise 34 | Exercise 64 | Exercise 94 | Exercise 4 | Exercise 34 | Exercise 64 | Exercise 94 |

Exercise 5 | Exercise 35 | Exercise 65 | Exercise 95 | Exercise 5 | Exercise 35 | Exercise 65 | Exercise 95 |

Exercise 6 | Exercise 36 | Exercise 66 | Exercise 6 | Exercise 36 | Exercise 66 | Exercise 96 | |

Exercise 7 | Exercise 37 | Exercise 67 | Exercise 7 | Exercise 37 | Exercise 67 | Exercise 97 | |

Exercise 8 | Exercise 38 | Exercise 68 | Exercise 8 | Exercise 38 | Exercise 68 | Exercise 98 | |

Exercise 9 | Exercise 39 | Exercise 69 | Exercise 9 | Exercise 39 | Exercise 69 | Exercise 99 | |

Exercise 10 | Exercise 40 | Exercise 70 | Exercise 10 | Exercise 40 | Exercise 70 | Exercise 100 | |

Exercise 11 | Exercise 41 | Exercise 71 | Exercise 11 | Exercise 41 | Exercise 71 | Exercise 101 | |

Exercise 12 | Exercise 42 | Exercise 72 | Exercise 12 | Exercise 42 | Exercise 72 | Exercise 102 | |

Exercise 13 | Exercise 43 | Exercise 73 | Exercise 13 | Exercise 43 | Exercise 73 | Exercise 103 | |

Exercise 14 | Exercise 44 | Exercise 74 | Exercise 14 | Exercise 44 | Exercise 74 | Exercise 104 | |

Exercise 15 | Exercise 45 | Exercise 75 | Exercise 15 | Exercise 45 | Exercise 75 | Exercise 105 | |

Exercise 16 | Exercise 46 | Exercise 76 | Exercise 16 | Exercise 46 | Exercise 76 | Exercise 106 | |

Exercise 17 | Exercise 47 | Exercise 77 | Exercise 17 | Exercise 47 | Exercise 77 | Exercise 107 | |

Exercise 18 | Exercise 48 | Exercise 78 | Exercise 18 | Exercise 48 | Exercise 78 | Exercise 108 | |

Exercise 19 | Exercise 49 | Exercise 79 | Exercise 19 | Exercise 49 | Exercise 79 | Exercise 109 | |

Exercise 20 | Exercise 50 | Exercise 80 | Exercise 20 | Exercise 50 | Exercise 80 | ||

Exercise 21 | Exercise 51 | Exercise 81 | Exercise 21 | Exercise 51 | Exercise 81 | ||

Exercise 22 | Exercise 52 | Exercise 82 | Exercise 22 | Exercise 52 | Exercise 82 | ||

Exercise 23 | Exercise 53 | Exercise 83 | Exercise 23 | Exercise 53 | Exercise 83 | ||

Exercise 24 | Exercise 54 | Exercise 84 | Exercise 24 | Exercise 54 | Exercise 84 | ||

Exercise 25 | Exercise 55 | Exercise 85 | Exercise 25 | Exercise 55 | Exercise 85 | ||

Exercise 26 | Exercise 56 | Exercise 86 | Exercise 26 | Exercise 56 | Exercise 86 | ||

Exercise 27 | Exercise 57 | Exercise 87 | Exercise 27 | Exercise 57 | Exercise 87 | ||

Exercise 28 | Exercise 58 | Exercise 88 | Exercise 28 | Exercise 58 | Exercise 88 | ||

Exercise 29 | Exercise 59 | Exercise 89 | Exercise 29 | Exercise 59 | Exercise 89 | ||

Exercise 30 | Exercise 60 | Exercise 90 | Exercise 30 | Exercise 60 | Exercise 90 |

Section 1.3 | Section 1.4 | |||||||
---|---|---|---|---|---|---|---|---|

Exercise 1 | Exercise 31 | Exercise 61 | Exercise 91 | Exercise 121 | Exercise 1 | Exercise 31 | Exercise 61 | Exercise 91 |

Exercise 2 | Exercise 32 | Exercise 62 | Exercise 92 | Exercise 122 | Exercise 2 | Exercise 32 | Exercise 62 | Exercise 92 |

Exercise 3 | Exercise 33 | Exercise 63 | Exercise 93 | Exercise 123 | Exercise 3 | Exercise 33 | Exercise 63 | Exercise 93 |

Exercise 4 | Exercise 34 | Exercise 64 | Exercise 94 | Exercise 124 | Exercise 4 | Exercise 34 | Exercise 64 | Exercise 94 |

Exercise 5 | Exercise 35 | Exercise 65 | Exercise 95 | Exercise 125 | Exercise 5 | Exercise 35 | Exercise 65 | Exercise 95 |

Exercise 6 | Exercise 36 | Exercise 66 | Exercise 96 | Exercise 126 | Exercise 6 | Exercise 36 | Exercise 66 | Exercise 96 |

Exercise 7 | Exercise 37 | Exercise 67 | Exercise 97 | Exercise 127 | Exercise 7 | Exercise 37 | Exercise 67 | Exercise 97 |

Exercise 8 | Exercise 38 | Exercise 68 | Exercise 98 | Exercise 128 | Exercise 8 | Exercise 38 | Exercise 68 | Exercise 98 |

Exercise 9 | Exercise 39 | Exercise 69 | Exercise 99 | Exercise 129 | Exercise 9 | Exercise 39 | Exercise 69 | Exercise 99 |

Exercise 10 | Exercise 40 | Exercise 70 | Exercise 100 | Exercise 130 | Exercise 10 | Exercise 40 | Exercise 70 | Exercise 100 |

Exercise 11 | Exercise 41 | Exercise 71 | Exercise 101 | Exercise 131 | Exercise 11 | Exercise 41 | Exercise 71 | Exercise 101 |

Exercise 12 | Exercise 42 | Exercise 72 | Exercise 102 | Exercise 132 | Exercise 12 | Exercise 42 | Exercise 72 | Exercise 102 |

Exercise 13 | Exercise 43 | Exercise 73 | Exercise 103 | Exercise 133 | Exercise 13 | Exercise 43 | Exercise 73 | Exercise 103 |

Exercise 14 | Exercise 44 | Exercise 74 | Exercise 104 | Exercise 134 | Exercise 14 | Exercise 44 | Exercise 74 | |

Exercise 15 | Exercise 45 | Exercise 75 | Exercise 105 | Exercise 135 | Exercise 15 | Exercise 45 | Exercise 75 | |

Exercise 16 | Exercise 46 | Exercise 76 | Exercise 106 | Exercise 136 | Exercise 16 | Exercise 46 | Exercise 76 | |

Exercise 17 | Exercise 47 | Exercise 77 | Exercise 107 | Exercise 137 | Exercise 17 | Exercise 47 | Exercise 77 | |

Exercise 18 | Exercise 48 | Exercise 78 | Exercise 108 | Exercise 138 | Exercise 18 | Exercise 48 | Exercise 78 | |

Exercise 19 | Exercise 49 | Exercise 79 | Exercise 109 | Exercise 139 | Exercise 19 | Exercise 49 | Exercise 79 | |

Exercise 20 | Exercise 50 | Exercise 80 | Exercise 110 | Exercise 140 | Exercise 20 | Exercise 50 | Exercise 80 | |

Exercise 21 | Exercise 51 | Exercise 81 | Exercise 111 | Exercise 141 | Exercise 21 | Exercise 51 | Exercise 81 | |

Exercise 22 | Exercise 52 | Exercise 82 | Exercise 112 | Exercise 142 | Exercise 22 | Exercise 52 | Exercise 82 | |

Exercise 23 | Exercise 53 | Exercise 83 | Exercise 113 | Exercise 23 | Exercise 53 | Exercise 83 | ||

Exercise 24 | Exercise 54 | Exercise 84 | Exercise 114 | Exercise 24 | Exercise 54 | Exercise 84 | ||

Exercise 25 | Exercise 55 | Exercise 85 | Exercise 115 | Exercise 25 | Exercise 55 | Exercise 85 | ||

Exercise 26 | Exercise 56 | Exercise 86 | Exercise 116 | Exercise 26 | Exercise 56 | Exercise 86 | ||

Exercise 27 | Exercise 57 | Exercise 87 | Exercise 117 | Exercise 27 | Exercise 57 | Exercise 87 | ||

Exercise 28 | Exercise 58 | Exercise 88 | Exercise 118 | Exercise 28 | Exercise 58 | Exercise 88 | ||

Exercise 29 | Exercise 59 | Exercise 89 | Exercise 119 | Exercise 29 | Exercise 59 | Exercise 89 | ||

Exercise 30 | Exercise 60 | Exercise 90 | Exercise 120 | Exercise 30 | Exercise 60 | Exercise 90 |