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 Multiplying and factoring algebraic equations   0.3 Tutorial  Adaptive game tutorial 
0.4 Rational expressions   0.4 Tutorial  Adaptive game tutorial 
0.5 Solving polynomial equations   0.5 Tutorial 
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   1.1 Tutorial  Game tutorial 


1.2 Functions and models   1.2 Tutorial  Game tutorial 


1.3 Linear functions and models   1.3 Tutorial  Game tutorial 


1.4 Linear regression   1.4 Tutorial  Game tutorial 


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 
2.1 Quadratic functions and models   2.1 Tutorial 


2.2 Exponential functions and models   2.2 Tutorial 


2.3 Logarithmic functions and models   2.3 Tutorial 


2.4 Logistic 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: Checking up on Malthus   Wheat production data 


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   3.1 Tutorial  Game tutorial 


3.2 Limits and continuity   3.2 Tutorial  Game tutorial 

3.3 Limits and continuity: algebraic viewpoint   3.3 Tutorial  Game tutorial 

3.4 Average rate of change   3.4 Tutorial  Game tutorial 

3.5 The derivative: numerical and graphical viewpoints   3.5 Tutorial  Game tutorial 


3.6 The derivative: algebraic viewpoint   3.6 Tutorial  Game tutorial 


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   4.1 Tutorial  Game tutorial 


4.2 A first application: Marginal analysis   4.2 Tutorial  Game tutorial 


4.3 The product and quotient rules   4.3 Tutorial  Game tutorial 


4.4 The chain rule   4.4 Tutorial  Game tutorial 


4.5 Derivatives of logarithmic and exponential functions   4.5 Tutorial  Game tutorial 


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: Projecting market growth  


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   5.1 Tutorial  Game tutorial 

5.2 Applications of maxima and minima   5.2 Tutorial  Game tutorial 


5.3 Higher order derivatives: Acceleration and concavity   5.3 Tutorial  Game tutorial 

5.4 Analyzing graphs   5.4 Tutorial 

5.5 Related rates   5.5 Tutorial  Game tutorial 


5.6 Elasticity   5.6 Tutorial  Game tutorial 

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   6.1 Tutorial  Game tutorial 

6.2 Substitution   6.2 Tutorial  Game tutorial 

6.3 The definite integral: Numerical and graphical viewpoints   6.3 Tutorial  Game tutorial 

6.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus   6.4 Tutorial  Game tutorial 

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 (TI82/83/84/85/86)  Excel Riemann sum grapher 

Chapter 7 Further integration techniques and applications of the integral 
7.1 Integration by parts   7.1 Tutorial  Game tutorial 

7.2 Area between two curves and applications  

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 (TI82/83/84/85/86)  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 volume   Download data 


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 

