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Chapter 0 Precalculus review
0.1 Real numbers
0.3 Using exponent identities
0.4 Multiplying and factoring algebraic expressions
0.5 Rational expressions
0.6 Solving polynomial equations
0.7 Solving miscellaneous equations
0.8 The coordinate plane
0.9 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
1.5 New functions from old: Scaled and shifted functions
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 Nonlinear functions and models
2.2 Exponential functions and models
2.3 The number e and exponential growth and decay
2.4 Logarithmic and logistic functions and models
2.5 Trigonometric models
Online: Inverse functions
Online: Fitting curves to data: linear and exponential regression
Online: Using and Deriving Algebraic Properties of Logarithms
Case study:  Projecting market growth

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

Chapter 2 tools
Function evaluator and grapher | Excel grapher | Simple regression utility

Chapter 3 Mathematics of finance
3.1 Simple interest
3.2 Compound interest
3.3 Annuities, loans, and bonds
Case study:  Adjustable rate and subprime mortgages

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

Chapter 3 tools
Time value of money utility

Chapter 4 Systems of linear equations and matrices
4.1 Systems of two linear equations in two unknowns
4.2 Using matrices to solve systems of equations
4.3 Applications of systems of linear equations
Case study:  Hybrid cars: Optimizing the degree of hybridization

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

Chapter 4 tools
Pivot and Gauss-Jordan tool | Excel pivot and Gauss-Jordan tool | Pivot program for graphing calculator (TI-82/83/84/85/86)

Chapter 5 Matrix algebra
5.1 Matrix addition and scalar multiplication
5.2 Matrix multiplication
5.3 Matrix inversion
5.4 Game theory
5.5 Input-output models
Online: Determinants and Cramer's Rule (pdf only)
Case study:  Social network analysis

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

Chapter 5 tools
Pivot program for graphing calculator (TI-82/83/84/85/86) | Matrix algebra tool

Chapter 6 Linear programming
6.1 Graphing linear inequalities
6.2 Solving linear programming problems graphically
6.3 The simplex method: Solving standard maximization problems
6.4 The simplex method: Solving general linear programming problems
6.5 The simplex method and duality
Case study:  The diet problemDiet problem solver

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

Chapter 6 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 7 Sets and counting
7.1 Set operations
7.2 Cardinality
7.3 Decision algorithms: The addition and multiplication principles
7.4 Permutations and combinations
Case study:  Designing a puzzle

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

Chapter 8 Probability
8.1 Sample spaces and events
8.2 Relative frequency
8.3 Probability and probability models
8.4 Probability and counting techniques
8.5 Conditional probability and independence
8.6 Bayes' Theorem and Applications
8.7 Markov systems
Case study:  The Monty Hall problemOnline Monty Hall simulation

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

Chapter 8 tools
Markov system simulation | Matrix algebra tool | Markov system computation utility

Chapter 9 Random variables and statistics
9.1 Random variables and distributions
9.2 Bernoulli trials and binomial random variables
9.3 Measures of central tendency
9.4 Measures of dispersion
9.5 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 9 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises

Chapter 9 tools
Histogram utility | Binomial distribution utility | Normal distribution utility | Normal distribution table

Chapter 10 Introduction to the derivative
10.1 Limits: numerical and graphical viewpoints
10.2 Limits: algebraic viewpoint
10.3 Limits and continuity
10.4 Average rate of change
10.5 The derivative: numerical and graphical viewpoints
10.6 The derivative: algebraic viewpoint
Online: Sketching the graph of the derivative
Online: Continuity and differentiability
Case study:  Reducing sulfur emissions

Chapter 10 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 10 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 11 Techniques of differentiation
11.1 Derivatives of powers, sums, and constant multiples
11.2 A first application: Marginal analysis
11.3 The product and quotient rules
11.4 The chain rule
11.5 Derivatives of logarithmic and exponential functions
11.6 Implicit differentiation
Online: Linear approximation and error estimation
Online: Proof of the power rule
Online: Proof of the quotient rule
Online: Proof of the chain rule
Case study:  Tracking the covid-19 epidemic in the U.S.

Chapter 11 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Additional exercises for derivatives of powers, sums, and constant multiples | Additional exercises for the product and quotient rules

Chapter 11 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 12 Further applications of the derivative
12.1 Maxima and minima
12.2 Applications of maxima and minima
12.3 Higher order derivatives: Acceleration and concavity
12.4 Analyzing graphs
12.5 Related rates
12.6 Elasticity
Case study:  Production lot size management

Chapter 12 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 12 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 13 The integral
13.1 The indefinite integral
13.2 Substitution
13.3 The definite integral: Numerical and graphical viewpoints
13.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus
Online: Numerical integration
Case study:  Spending on housing construction

Chapter 13 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 13 tools
Numerical integration utility and grapher | Graphing calculator programs for numerical integration (TI-82/83/84/85/86) | Excel Riemann sum grapher

Chapter 14 Further integration techniques and applications of the integral
14.1 Integration by parts
14.2 Area between two curves
14.3 Averages and moving averages
14.4 Applications to business and economics: Consumers' and producers' surplus and continuous income streams
14.5 Improper integrals and applications
14.6 Differential equations and applications
Online: Linear differential equations
Case study:  Estimating tax revenues

Chapter 14 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials

Chapter 14 tools
Numerical integration utility and grapher | Graphing calculator programs for numerical integration (TI-82/83/84/85/86) | Excel Riemann sum grapher

Chapter 15 Functions of several variables
15.1 Functions of several variables from the numerical, algebraic, and graphical viewpoints
15.2 Partial derivatives
15.3 Maxima and minima
15.4 Constrained maxima and minima and applications
15.5 Double integrals and applications
Online: Chain rule for functions of several variables (pdf only)
Online: Extreme Values: Boundaries and the Extreme Value Theorem (pdf only)
Case study:  Modeling college population

Chapter 15 resources
Chapter summary | Chapter true/false quiz

Chapter 15 tools
Surface graphing utility | Excel surface graphing utility | Multiple regression utility

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

Chapter S: Sequences, series, and Taylor series
Text and exercises online
S.1 Taylor polynomials
S.2 Infinite sequences
S.3 Infinite series
S.4 Taylor series
S.5 Applications of Taylor series
Chapter S Case study:  Predicting sales

Chapter P: Calculus applied to probability and statistics
Text and exercises online; a complete text version of this chapter can be downloaded here.
P.1 Continuous random variables and histograms
P.2 Probability density functions: Uniform, exponential, normal, and beta
P.3 Mean, median, variance and standard deviation
Chapter P Case study:  Creating a family trust