Chapter 0
Problem Solving
0.1 | Pictures, Graphs, and Diagrams | Exercises | p.4 |
0.2 | Symbolic Representation | Exercises | p.11 |
0.3 | Organizing Information | Exercises | p.18 |
Chapter Review | p.22 |
Chapter 1
Patterns And Recursion
1.1 | Recursively Defined Sequences | Exercises | p.34 |
1.2 | Modeling Growth and Decay | Exercises | p.41 |
1.3 | A First Look at Limits | Exercises | p.48 |
1.4 | Graphing Sequences | Exercises | p.54 |
1.5 | Loans and Investments | Exercises | p.64 |
Chapter Review | p.71 |
Chapter 2
Describing Data
2.1 | Measures of Central Tendency and Box Plots | Exercises | p.81 |
2.2 | Measures of Spread | Exercises | p.90 |
2.3 | Histograms and Percentiles Ranks | Exercises | p.100 |
Chapter Review | p.108 |
Chapter 3
Linear Models And Systems
3.1 | Linear Equations and Arithmetic Sequence | Exercises | p.117 |
3.2 | Revisiting Slope | Exercises | p.124 |
3.3 | Fitting a Line to Data | Exercises | p.131 |
3.4 | The Median-Median Line | Exercises | p.139 |
3.5 | Residuals | Exercises | p.146 |
3.6 | Linear System | Exercises | p.154 |
3.7 | Substitution and Elimination | Exercises | p.160 |
Chapter Review | p.164 |
Chapter 4
Functions, Relations, And Transformations
4.1 | Interpretting Graphs | Exercises | p.175 |
4.2 | Function Notation | Exercises | p.181 |
4.3 | Lines in Motion | Exercises | p.189 |
Exercises | p.197 | ||
4.5 | Reflections and the Square Root Family | Exercises | p.204 |
4.6 | Stretches and Shrinks and the Absolute-Value Family | Exercises | p.214 |
4.7 | Transformations and the Circle Family | Exercises | p.220 |
4.8 | Compositions of Functions | Exercises | p.228 |
Review | p.233 |
Chapter 5
Exponential, Power, And Logarithmic Functions
5.1 | Exponential Functions | Exercises | p.240 |
5.2 | Properties of Exponents and Power Functions | Exercises | p.248 |
5.4 | Applications of Exponential and Power Equations | Exercises | p.256 |
Exercises | p.263 | ||
5.5 | Building Inverse of Functions | Exercises | p.269 |
5.6 | Logarithmic Functions | Exercises | p.276 |
5.7 | Properties of Logarithms | Exercises | p.282 |
5.8 | Applications of Logarithms | Exercises | p.289 |
Review | p.295 |
Chapter 6
Matrices And Linear Systems
6.1 | Matrix and Linear Systems | Exercises | p.303 |
Exercises | p.313 | ||
6.3 | Row Reduction Method | Exercises | p.323 |
6.4 | Solving Systems with Inverse Matrices | Exercises | p.331 |
6.5 | Systems of Linear Inequalities | Exercises | p.339 |
6.6 | Linear Programming | Exercises | p.347 |
Review | p.351 |
Chapter 7
Quadratic And Other Polynomial Functions
7.1 | Polynomial Degree and Finite Differences | Exercises | p.364 |
7.2 | Equivalent Quadratic Forms | Exercises | p.372 |
7.3 | Completing the Square | Exercises | p.382 |
7.4 | The Quadratic Formula | Exercises | p.388 |
7.5 | Complex Numbers | Exercises | p.394 |
7.6 | Factoring Polynomials | Exercises | p.402 |
7.7 | Higher-Degree Polynomials | Exercises | p.408 |
7.8 | More About Finding Solutions | Exercises | p.416 |
Review | p.419 |
Chapter 8
Parametric Equations And Trigonometry
8.1 | Graphing Parametric Equations | Exercises | p.427 |
8.2 | Converting from Parametric to Nonparametric Equations | Exercises | p.435 |
8.3 | Right Triangle Trigonometry | Exercises | p.443 |
8.4 | Using Trigonometry to Set a Course | Exercises | p.455 |
8.5 | Projectile Motion | Exercises | p.464 |
8.6 | The Law of Sines | Exercises | p.472 |
8.7 | The Law of Cosines | Exercises | p.479 |
Review | p.483 |
Chapter 9
Conic Sections And Rational Functions
9.1 | Using the Distance Formula | Exercises | p.491 |
9.2 | Circles and Ellipses | Exercises | p.503 |
9.3 | Parabolas | Exercises | p.511 |
9.4 | Hyperbolas | Exercises | p.520 |
9.5 | The General Quadratic | Exercises | p.531 |
9.6 | Introduction to Rational Functions | Exercises | p.540 |
9.7 | Graphs of Rational Functions | Exercises | p.547 |
9.8 | Operations with Rational Funcitons | Exercises | p.555 |
Chapter 10
Trigonometric Functions
10.1 | Defining the Circular Functions | Exercises | p.569 |
10.2 | Radian Measure and Arc Length | Exercises | p.578 |
10.3 | Graphing Trigonometric Functions | Exercises | p.589 |
1.4 | Graphing Sequences | Exercises | p.598 |
10.5 | Modeling with Trigonometric Equations | Exercises | p.605 |
10.6 | Fundamental Trigonometric Identities | Exercises | p.611 |
10.7 | Combining Trigonometric Functions | Exercises | p.619 |
Chapter Review | p.625 |
Chapter 11
Series
11.1 | Arithmetic Series | Exercises | p.633 |
11.2 | Infinite Geometric Series | 640 | p.640 |
11.3 | Partial Sums of Geometric Series | Exercises | p.646 |
Review | p.652 |
Chapter 12
Probability
12.1 | Randomness and Probability | Exercises | p.661 |
12.2 | Counting Outcomes and Tree Diagrams | Exercises | p.673 |
12.3 | Mutually Exclusive Events and Venn Diagrams | Exercises | p.684 |
12.4 | Random Variables and Expected Value | Exercises | p.690 |
12.5 | Permutations and Probability | 698 | p.698 |
12.6 | Combinations and Probability | Exercises | p.707 |
12.7 | The Binomial Theorem and Pascal's Triangle | Exercises | p.715 |
Review | p.719 |
Chapter 13
Applications Of Statistics
13.1 | Probability Distributions | Exercises | p.729 |
13.2 | Normal Distributions | Exercises | p.740 |
13.3 | z-Values and Confidence Intervals | Exercises | p.749 |
13.4 | The Central Limit Theorem | Exercises | p.756 |
13.3 | z-Values and Confidence Intervals | Exercises | p.767 |
13.6 | The Least Square Line | Exercises | p.775 |
13.7 | Nonlinear Regression | Exercises | p.784 |
Review | p.788 |