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Chapter 0 Precalculus review
0.1 Real numbers
0.3 Multiplying and factoring algebraic expressions
0.4 Rational expressions
0.5 Solving polynomial equations
0.6 Solving miscellaneous equations
0.7 The coordinate plane
0.8 Logarithms

Chapter 1 Functions and applications
1.1 Functions from the numerical, algebraic, and graphical viewpoints
1.2 Functions and models
1.3 Linear functions and models
1.4 Linear regression
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 interest
2.2 Compound interest
2.3 Annuities, loans, and bonds
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
3.2 Using matrices to solve systems of equations
3.3 Applications of systems of linear equations
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 multiplication
4.2 Matrix multiplication
4.3 Matrix inversion
4.4 Game theory
4.5 Input-output models
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 inequalities
5.2 Solving linear programming problems graphically
5.3 The simplex method: Solving standard maximization problems
5.4 The simplex method: Solving general linear programming problems
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 operations
6.2 Cardinality
6.3 Decision algorithms: The addition and multiplication principles
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 events
7.2 Relative frequency
7.3 Probability and probability models
7.4 Probability and counting techniques
7.5 Conditional probability and independence
7.6 Bayes' Theorem and Applications
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 distributions
8.2 Bernoulli trials and binomial random variables
8.3 Measures of central tendency
8.4 Measures of dispersion
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