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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
Online: New functions from old: Scaled and shifted functions
Online: Fitting curves to data: Linear and exponential regression

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 Logistic and logarithmic functions and 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 Introduction to the derivative
3.1 Limits: numerical and graphical viewpoints
3.2 Limits: algebraic viewpoint
3.3 Limits and continuity
3.4 Average rate of change
3.5 The derivative: numerical and graphical viewpoints
3.6 The derivative: algebraic viewpoint
Online: Sketching the graph of the derivative
Online: Continuity and differentiability
Case study:  Reducing sulfur emissions

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

Chapter 3 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 4 Techniques of differentiation
4.1 Derivatives of powers, sums, and constant multiples
4.2 A first application: Marginal analysis
4.3 The product and quotient rules
4.4 The chain rule
4.5 Derivatives of logarithmic and exponential functions
4.6 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.COVID-19 data (Excel)

Chapter 4 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 4 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 5 Further applications of the derivative
5.1 Maxima and minima
5.2 Applications of maxima and minima
5.3 Higher order derivatives: Acceleration and concavity
5.4 Analyzing graphs
5.5 Related rates
5.6 Elasticity
Case study:  Production lot size management

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

Chapter 5 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 6 The integral
6.1 The indefinite integral
6.2 Substitution
6.3 The definite integral: Numerical and graphical viewpoints
6.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus
Online: Numerical integration
Case study:  Spending on housing construction

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

Chapter 6 tools
Numerical integration utility and grapher | Graphing calculator programs for numerical integration (TI-82/83/84/85/86) | Excel Riemann sum grapher

Chapter 7 Further integration techniques and applications of the integral
7.1 Integration by parts
7.2 Area between two curves
7.3 Averages and moving averages
7.4 Applications to business and economics: Consumers' and producers' surplus and continuous income streams
7.5 Improper integrals and applications
7.6 Differential equations and applications
Online: Linear differential equations
Case study:  Estimating tax revenues

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

Chapter 7 tools
Numerical integration utility and grapher | Graphing calculator programs for numerical integration (TI-82/83/84/85/86) | Excel Riemann sum grapher

Chapter 8 Functions of several variables
8.1 Functions of several variables from the numerical, algebraic, and graphical viewpoints
8.2 Partial derivatives
8.3 Maxima and minima
8.4 Constrained maxima and minima and applications
8.5 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 8 resources
Chapter summary | Chapter true/false quiz

Chapter 8 tools
Surface graphing utility | Excel surface graphing utility | Multiple regression utility

Chapter 9 Trigonometric models
9.1 Trigonometric functions, models, and regression
9.2 Derivatives of trigonometric functions and applications
9.3 Integrals of trigonometric functions and applications
Online: Proofs of some trigonometric limits
Online: New functions from old: Scaled and shifted functions
Case study:  Predicting airline empty seat volumeEmpty seat miles data (Excel)

Chapter 9 resources
Chapter summary | Chapter true/false quiz | Chapter Excel tutorials | Online version of this chapter

Chapter 9 tools
Function evaluator and grapher | Excel grapher

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