Chapter 1
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Functions And Their Graphs: Introduction To Library …
| 1.1 | Lines in the Planes | Lines in the Plane | p.11 |
| 1.2 | Functions | Functions | p.24 |
| 1.3 | Graphs of the Functions | Graphs of Functions | p.38 |
| 1.4 | Shifting, Reflecting, and Stretching Graphs | Shifting, Reflecting, and Stretching Graphs | p.48 |
| 1.5 | Combination of Functions | Combinations of Functions | p.58 |
| 1.6 | Inverse Functions | Inverse Functions | p.69 |
| 1.7 | Linear Models and Scatter Plots | Linear Models and Scatter Plots | p.78 |
| Review Exercises Chapter 1 | p.83 | ||
| Chapter 1 Test | p.88 |
Chapter 2
Polynomial And Rational Functions
| 2.1 | Quadratic Functions | Quadratic Functions | p.99 |
| 2.2 | Polynomial Functions of Higher Degree | Polynomial Functions of Higher Degree | p.112 |
| 2.3 | Real Zeros of Polynomial Functions | Exercises | p.127 |
| 2.4 | Complex Numbers | Complex Numbers | p.137 |
| 2.5 | The Fundamental Theorem of Algebra | The Fundamental Theorem of Algebra | p.144 |
| 2.6 | Rational Functions and Asymptotes | Rational Functions and Asymptotes | p.152 |
| 2.7 | Graphs of Rational Functions | Graphs of Rational Functions | p.161 |
| 2.8 | Quadratic Models | Quadratic Models | p.169 |
| Review Exercises Chapter 2 | p.173 | ||
| Chapter 2 Test | p.179 |
Chapter 3
Exponential And Logarithmic Functions
| 3.1 | Exponential Functions and Their Graphs | Exponential Functions and Their Graphs | p.193 |
| 3.2 | Logarithmic Functions and Their Graphs | Logarithmic Functions and Their Graphs | p.203 |
| 3.3 | Properties of Logarithms | Properties of Logarithms | p.211 |
| 3.4 | Solving Exponential and Logarithmic Equations | Solving Exponential and Logarithmic Functions | p.221 |
| 3.5 | Exponential and Logarithmic Models | Exponential and Logarithmic Models | p.232 |
| 3.6 | Nonlinear Models | Nonlinear Models | p.242 |
| Chapter 3 Review Exercises | p.247 | ||
| Chapter 3 Test | p.252 | ||
| Chapter 1-3 Cumulative Test | p.253 |
Chapter 4
Trigonometric Functions
| 4.1 | Radian and Degree Measure | Radian and Degree Measure | p.265 |
| 4.2 | Trigonometric Functions: The Unit Circle | Trigonometric Functions: The Unit Circle | p.274 |
| 4.3 | Right Triangle Trigonometry | Right Triangle Trigonometry | p.284 |
| 4.4 | Trigonometric Functions of Any Angle | Trigonometric Functions of Any Angle | p.294 |
| 4.5 | Graphs of Sine and Cosine Functions | Graphs of Sine and Cosine Functions | p.304 |
| 4.6 | Graphs of Other Trigonometric Functions | Graphs of Other Trigonometric Functions | p.316 |
| 4.7 | Inverse Trigonometric Functions | Inverse Trigonometric Functions | p.327 |
| 4.8 | Applications and Models | Applications and Models | p.337 |
| Chapter 4 Review Exercises | p.344 | ||
| Chapter 4 Test | p.349 |
Chapter 5
Analytic Trigonometry
| 5.1 | Using Fundamental Identities | Vocabulary Check | p.357 |
| Using Fundamental Identities | p.357 | ||
| 5.2 | Verifying Trigonometric Identities | Vocabulary Check | p.365 |
| Verifying Trigonmetric Identities | p.365 | ||
| 5.3 | Solving Trigonometric Equations | Vocabulary Check | p.376 |
| Solving Trigonometric Equations | p.376 | ||
| 5.4 | Sum and Difference Formulas | Vocabulary Check | p.384 |
| Sum and Difference Formulas | p.384 | ||
| 5.5 | Multiple-Angle and Product-to-Sum Formulas | Vocabulary Check | p.394 |
| Multiple-Angle and Product-to-Sum Formulas | p.394 | ||
| Chapter 5 Review Exercises | p.400 | ||
| Chapter 5 Test | p.403 |
Chapter 6
Additional Topics In Trigonometry
| 6.1 | Law of Sines | Law of Sines | p.414 |
| 6.2 | Law of Cosines | Law of Cosines | p.421 |
| 6.3 | Vectors in the Plane | Vectors in the Plane | p.433 |
| 6.4 | Vectors and Dot Products | Vectors and Dot Products | p.445 |
| 6.5 | Trigonometric Form of a Complex Number | Trigonometric Form of a Complex Number | p.456 |
| Chapter 6 Review Exercises | p.461 | ||
| Chapter 6 Test | p.465 | ||
| 4-6 Cumulative Test | p.466 |
Chapter 7
Linear System And Matrices
Precalculus With Limits Larson Pdf Second Edition
| 7.1 | Solving Systems of Equations | Exercises | p.481 |
| 7.2 | Systems of Linear Equations in Two Variables | Exercises | p.491 |
| 7.3 | Multivariable Linear Systems | Exercises | p.505 |
| 7.4 | Matrices and Systems of Equations | Exercises | p.521 |
| 7.5 | Operations with Matrices | Exercises | p.536 |
| 7.6 | The Inverse of a Square Matrix | Exercises | p.547 |
| 7.7 | The Determinant of a Square Matrix | Exercises | p.556 |
| 7.8 | Application of Matrices and Determinants | Exercises | p.567 |
| Review Exercises | p.570 | ||
| Chapter Test | p.576 |
Chapter 8
Precalculus With Limits Ron Larson Pdf
Sequences, Series, And Probability
| 8.1 | Sequences and Series | Exercises | p.587 |
| 8.2 | Arithmetric Sequences and Partial Sums | Exercises | p.598 |
| 8.3 | Geometric Sequences and Series | Exercises | p.607 |
| 8.4 | Mathematical Induction | Exercises | p.617 |
| 8.5 | The Binomial Theorem | Exercises | p.624 |
| 8.6 | Counting Principles | Exercises | p.634 |
| 8.7 | Probability | Exercises | p.645 |
| Review Exercises | p.651 | ||
| Chapter Test | p.655 |
Chapter 9
Topics In Analytic Geometry
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| 9.1 | Circles and Parabolas | Exercises | p.667 |
| 9.2 | Ellipses | Exercises | p.677 |
| 9.3 | Hyperbolas | Exercises | p.687 |
| 9.4 | Rotation and Systems of Quadratic Equations | Exercises | p.697 |
| 9.5 | Parametric Equations | Exercises | p.704 |
| 9.6 | Polar Coordinates | Exercises | p.711 |
| 9.7 | Graphs of Polar Equations | Exercises | p.720 |
| 9.8 | Polar Equations of Conics | Exercises | p.726 |
| Review Exercises | p.730 | ||
| Chapter Test | p.734 | ||
| Chapter 7-9 Cumulative Test | p.735 |
Chapter 10
Analytic Geometry In Three Dimensions
| 10.1 | The Three-Dimensional Coordinate System | Exercises | p.747 |
| 10.2 | Vectors in Space | Exercises | p.755 |
| 10.3 | The Cross Product of Two Vectors | Exercises | p.762 |
| 10.4 | Lines and Planes in Space | Exercises | p.771 |
| Review Exercises | p.774 | ||
| Chapter Test | p.776 |
Chapter 11
Limits And An Introduction To Calculus
| 11.1 | Introduction to Limits | Exercises | p.788 |
| 11.2 | Techniques for Evaluating Limits | Exercises | p.798 |
| 11.3 | The Tangent Line Problem | Exercises | p.808 |
| 11.4 | Limits at Infinity and Limits of Sequences | Exercises | p.817 |
| 11.5 | The Area Problem | Exercises | p.826 |
| Review Exercises | p.829 | ||
| Chapter Test | p.832 | ||
| Chapter 10-11 Cumulative Review | p.833 |