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Chapter 0 Precalculus review
0.1 Real numbers0.1 Tutorial | Adaptive game tutorial
0.2 Exponents and radicals0.2 Tutorial | Adaptive game tutorial
0.3 Multiplying and factoring algebraic equations0.3 Tutorial | Adaptive game tutorial
0.4 Rational expressions 0.4 Tutorial | Adaptive game tutorial
0.5 Solving polynomial equations0.5 Tutorial | Adaptive game tutorial
0.6 Solving miscellaneous equations0.6 Tutorial | Adaptive game tutorial
0.7 The coordinate plane
0.8 Logarithms0.8 Tutorial | Adaptive game tutorial

Chapter 1 Functions and applications
1.1 Functions from the numerical, algebraic, and graphical viewpoints1.1 Tutorial | Adaptive game tutorial |
Video
 Video  for Section 1.1: Introduction to functions
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1.2 Functions and models1.2 Tutorial | Game tutorial |
Videos
 Videos for Section 1.2: Part A: Cost, revenue, and profit models Part B: Demand, supply and time-change models
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Practice/visualize
 Practice/visualize for Section 1.2: Cost, revenue, and profit Demand function Equilibrium price Time-change models Radioactive decay
1.3 Linear functions and models1.3 Tutorial | Game tutorial | |
1.4 Linear regression1.4 Tutorial | Game tutorial |
Videos
 Videos for Section 1.4: Part A: Sum of Squares Error Part B: The regression line
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Practice/visualize
 Practice/visualize for Section 1.4: Calculating the sum of squares error Calculating the regression line
Online: New functions from old: Scaled and shifted functions
Online: Fitting curves to data: Linear and exponential regression
Case study:  Modeling spending on Internet advertising

Chapter 1 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 1 tools
Function evaluator and grapher | Excel grapher | Simple regression utility

Chapter 2 Mathematics of finance
2.1 Simple interest2.1 Tutorial | Game tutorial |
Practice/visualize
 Practice/visualize for Section 3.1: Calculating simple interest Calculating simple interest: general periods
2.2 Compound interest2.2 Tutorial | Game tutorial |
Practice/visualize
 Practice/visualize for Section 3.2: Calculating compound interest Calculating the effective rate
2.3 Annuities, loans, and bonds2.3 Tutorial | Game tutorial |
Practice/visualize
 Practice/visualize for Section 3.3: Accumulation: Future value Annuitization: Present value Martgages
Case study:  Adjustable rate and subprime mortgages

Chapter 2 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 2 tools
Time value of money utility

Chapter 3 Systems of linear equations and matrices
3.1 Systems of two linear equations in two unknowns 3.1 Tutorial | Game tutorial |
Videos
 Videos for Section 3.1: Part A: Solving graphically Part B: Solving by elimination Part C: Applications
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Practice/visualize
 Practice/visualize for Section 4.1: Solving a system (2 unknowns)
3.2 Using matrices to solve systems of equations 3.2 Tutorial | Game tutorial | |
Practice/visualize
 Practice/visualize for Section 4.2: Solving a system by Gauss-Jordan (unique solution) Solving a system by Gauss-Jordan (many solutions or no solution)
3.3 Applications of systems of linear equations 3.3 Tutorial | Game tutorial |
Videos
 Videos for Section 3.3: Part A: Setting up applications Part B: Traffic flow
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Practice/visualize
 Practice/visualize for Section 4.3: Solving a blending problem Solving a traffic-flow problem
Case study:  Hybrid cars: Optimizing the degree of hybridization

Chapter 3 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 3 tools
Pivot and Gauss-Jordan tool | Excel pivot and Gauss-Jordan tool | Pivot program for graphing calculator (TI-82/83/84/85/86)

Chapter 4 Matrix algebra
4.1 Matrix addition and scalar multiplication4.1 Tutorial | Game tutorial |
Video
 Video  for Section 4.1: Matrix addition and scalar multiplication
4.2 Matrix multiplication4.2 Tutorial | Game tutorial |
Video
 Video  for Section 4.2: Matrix multiplication
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Practice/visualize
 Practice/visualize for Section 5.2: Matrix multiplication Application of matrix multiplication
4.3 Matrix inversion4.3 Tutorial | Game tutorial |
Video
 Video  for Section 4.3: Matrix inversion
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Practice/visualize
 Practice/visualize for Section 5.3: Finding a matrix inverse Determinant and inverse of a 2 × 2 matrix Solving systems with matrix inverses
4.4 Game theory4.4 Tutorial | Game tutorial | |
Practice/visualize
 Practice/visualize for Section 5.4: Expected value of a game Optimal counterstrategy Strictly determined game
4.5 Input-output models4.5 Tutorial
Online: Determinants and Cramer's Rule (pdf only)
Case study:  Projecting market share

Chapter 4 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 4 tools
Pivot program for graphing calculator (TI-82/83/84/85/86) | Matrix algebra tool

Chapter 5 Linear programming
5.1 Graphing linear inequalities5.1 Tutorial | Game tutorial |
Video
 Video  for Section 5.1: Graphing linear inequalities
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Practice/visualize
 Practice/visualize for Section 6.1: Graphing single inequalities Graphing two simultaneous inequalities Graphing three simultaneous inequalities
5.2 Solving linear programming problems graphically5.2 Tutorial | Game tutorial |
Video
 Video  for Section 5.2: Solving linear programming problems graphically
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Practice/visualize
 Practice/visualize for Section 6.2: Linear programming graphically (two constraints) Linear programming graphically (three constraints)
5.3 The simplex method: Solving standard maximization problems5.3 Tutorial | Game tutorial |
Video
 Video  for Section 5.3: The simplex method: Standard maximization problems
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Practice/visualize
 Practice/visualize for Section 6.3: Simplex method (standard LP problem)
5.4 The simplex method: Solving general linear programming problems5.4 Tutorial | Game tutorial |
Video
 Video  for Section 5.4: The simplex method: General LP problems
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Practice/visualize
 Practice/visualize for Section 6.4: Simplex method (nonstandard maximize problem)
5.5 The simplex method and duality
Case study:  The diet problemDiet problem solver

Chapter 5 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 5 tools
Linear programming grapher | Simplex method tool | Pivot and Gauss-Jordan tool | Excel pivot and Gauss-Jordan tool | Pivot program for graphing calculator (TI-82/83/84/85/86) | Diet problem solver | Linear programming grapher app (Android) | Linear programming grapher app for iPhone, iPad, and iPod touch

Chapter 6 Sets and counting
6.1 Set operations6.1 Tutorial | Adaptive game tutorial |
Video
 Video  for Section 6.1: Set operations
6.2 Cardinality6.2 Tutorial | Adaptive game tutorial |
Video
 Video  for Section 6.2: Cardinality
6.3 Decision algorithms: The addition and multiplication principles 6.3 Tutorial | Game tutorial |
Video
 Video  for Section 6.3: Addition and multiplication principles
6.4 Permutations and combinations6.4 Tutorial | Game tutorial |
Video
 Video  for Section 6.4: Permutations and combinations
Case study:  Designing a puzzle

Chapter 6 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises

Chapter 7 Probability
7.1 Sample spaces and events7.1 Tutorial | Game tutorial |
Video
 Video  for Section 7.1: Sample spaces and events
7.2 Relative frequency7.2 Tutorial | Game tutorial |
Video
 Video  for Section 7.2: Relative frequency
7.3 Probability and probability models7.3 Tutorial | Game tutorial |
Videos
 Videos for Section 7.3: Probability models Part A Probability models Part B
7.4 Probability and counting techniques
7.5 Conditional probability and independence7.5 Tutorial | Game tutorial |
Videos
 Videos for Section 7.5: Conditional probability Part A Conditional probability Part B
7.6 Bayes' Theorem and Applications7.6 Tutorial | Game tutorial |
Video
 Video  for Section 7.6: Bayes' theorem and applications
7.7 Markov systems
Video
 Video  for Section 7.7: Markov systems
Case study:  The Monty Hall problemOnline Monty Hall simulation

Chapter 7 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises

Chapter 7 tools
Markov system simulation | Matrix algebra tool | Markov system computation utility

Chapter 8 Random variables and statistics
8.1 Random variables and distributions8.1 Tutorial | Game tutorial |
Video
 Video  for Section 8.1: Random variables and distributions
8.2 Bernoulli trials and binomial random variables8.2 Tutorial | Adaptive game tutorial |
Video
 Video  for Section 8.2: Bernoulli trials and binomial random variables
8.3 Measures of central tendency8.3 Tutorial
8.4 Measures of dispersion8.4 Tutorial
8.5 Normal distributions
Online: Sampling distributions and the Central Limit Theorem
Online: Confidence intervals
Online: Calculus applied to statistics (online chapter)
Online: Fitting curves to data: Linear and exponential regression
Case study:  Spotting tax fraud with Benford's law

Chapter 8 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises

Chapter 8 tools
Histogram utility | Binomial distribution utility | Normal distribution utility | Normal distribution table

Chapter L: Introduction to logic
An expanded version of Appendix A in the textbook. A complete text version of this chapter can be downloaded here.
L.1 Statements and logical operators
L.2 Logical equivalence, tautologies and contradictions
L.3 The conditional and the biconditional
L.4 Tautological implications and tautological equivalences
L.5 Rules of inference
L.6 Arguments and proofs
L.7 Predicate calculus