Chapter 0 Precalculus review 
0.1 Real numbers   0.1 Tutorial  Adaptive game tutorial 

0.2 Exponents and radicals   0.2 Tutorial  Adaptive game tutorial 

0.3 Using exponent identities   0.3 Tutorial  Adaptive game tutorial 

0.4 Multiplying and factoring algebraic expressions   0.4 Tutorial  Adaptive game tutorial 

0.5 Rational expressions   0.5 Tutorial  Adaptive game tutorial 
0.6 Solving polynomial equations   0.6 Tutorial  Adaptive game tutorial 
0.7 Solving miscellaneous equations   0.7 Tutorial  Adaptive game tutorial 
0.8 The coordinate plane  
0.9 Logarithms   0.9 Tutorial  Adaptive game tutorial 

Chapter 1 Functions and applications 
1.1 Functions from the numerical, algebraic, and graphical viewpoints   1.1 Tutorial  Adaptive game tutorial 


1.2 Functions and models   1.2 Tutorial  Adaptive game tutorial 


1.3 Linear functions and models   1.3 Tutorial  Adaptive game tutorial 


1.4 Linear regression   1.4 Tutorial  Game tutorial 


1.5 New functions from old: Scaled and shifted functions   1.5 Tutorial  Adaptive game tutorial 

Online: New functions from old: Scaled and shifted functions   Tutorial for this section  Adaptive game tutorial 
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 interest   2.1 Tutorial  Game tutorial 

2.2 Compound interest   2.2 Tutorial  Game tutorial 

2.3 Annuities, loans, and bonds   2.3 Tutorial  Game tutorial 

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 


3.2 Using matrices to solve systems of equations   3.2 Tutorial  Game tutorial 


3.3 Applications of systems of linear equations   3.3 Tutorial  Game tutorial 


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 GaussJordan tool  Excel pivot and GaussJordan tool  Pivot program for graphing calculator (TI82/83/84/85/86) 

Chapter 4 Matrix algebra 
4.1 Matrix addition and scalar multiplication   4.1 Tutorial  Game tutorial 


4.2 Matrix multiplication   4.2 Tutorial  Game tutorial 


4.3 Matrix inversion   4.3 Tutorial  Game tutorial 


4.4 Game theory   4.4 Tutorial  Game tutorial 


4.5 Inputoutput models   4.5 Tutorial 

Online: Determinants and Cramer's Rule (pdf only)  
Case study: Social network analysis  


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

Chapter 4 tools 
Pivot program for graphing calculator (TI82/83/84/85/86)  Matrix algebra tool 

Chapter 5 Linear programming 
5.1 Graphing linear inequalities   5.1 Tutorial  Game tutorial 


5.2 Solving linear programming problems graphically   5.2 Tutorial  Game tutorial 


5.3 The simplex method: Solving standard maximization problems   5.3 Tutorial  Adaptive game tutorial 


5.4 The simplex method: Solving general linear programming problems   5.4 Tutorial  Adaptive game tutorial 


5.5 The simplex method and duality  
Case study: The diet problem   Diet 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 GaussJordan tool  Excel pivot and GaussJordan tool  Pivot program for graphing calculator (TI82/83/84/85/86)  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 operations   6.1 Tutorial  Adaptive game tutorial 


6.2 Cardinality   6.2 Tutorial  Adaptive game tutorial 


6.3 Decision algorithms: The addition and multiplication principles   6.3 Tutorial  Adaptive game tutorial 


6.4 Permutations and combinations   6.4 Tutorial  Adaptive game tutorial 


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 events   7.1 Tutorial  Game tutorial 

7.2 Relative frequency   7.2 Tutorial  Game tutorial 

7.3 Probability and probability models   7.3 Tutorial  Game tutorial 

7.4 Probability and counting techniques  
7.5 Conditional probability and independence   7.5 Tutorial  Game tutorial 

7.6 Bayes' Theorem and Applications   7.6 Tutorial  Game tutorial 

7.7 Markov systems  

Case study: The Monty Hall problem   Online 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 distributions   8.1 Tutorial  Game tutorial 

8.2 Bernoulli trials and binomial random variables   8.2 Tutorial  Adaptive game tutorial 


8.3 Measures of central tendency   8.3 Tutorial 
8.4 Measures of dispersion   8.4 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  
