Applied Calculus 4e
Stefan Waner and Steven R. Costenoble

Table of Contents, On-Line Resources,
Everything!

You can get back here from anywhere by pressing the"Everything for Calculus" link.

Chapter 0 Algebra Review
0.1 Real Numbers On-line tutorial for Section 0.1
0.2 Exponents and Radicals On-line tutorial for Section 0.2
0.3 Multiplying and Factoring Algebraic Equations On-line tutorial for Section 0.3
0.4 Rational Expressions On-line tutorial for Section 0.4
0.5 Solving Polynomial Equations On-line tutorial for Section 0.5
0.6 Solving Miscellaneous Equations


Chapter 1 Functions and Linear Models
1.1 Functions from the Numerical and Algebraic Viewpoints On-line tutorial for Section 1.1
1.2 Functions from the Graphical Viewpoint On-line tutorial for Section 1.2
1.3 Linear Functions On-line tutorial for Section 1.3
1.4 Linear Models On-line tutorial for Section 1.4
1.5 Linear RegressionOn-line tutorial for Section 1.5
On-Line: New Functions from Old: Scaled and Shifted Functions
On-Line: Fitting Functions to Data: Linear and Exponential Regression
Case Study: Modeling Spending on Internet Advertising

On-Line Resources for Chapter 1
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials

Math Tools for Chapter 1
Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher


Chapter 2 Nonlinear Models
2.1 Quadratic Functions and Models On-line tutorial for Section 2.1
2.2 Exponential Functions and Models On-line tutorial for Section 2.2
2.3 Logarithmic Functions and Models On-line tutorial for Section 2.3
2.4 Logistic Functions and Models
On-Line: Inverse Fuctions
On-Line: Fitting Functions to Data: Linear and Exponential Regression
On-Line: Using and Deriving Algebraic Properties of Logarithms
Case Study: Checking Up on Malthus

On-Line Resources for Chapter 2
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials

Math Tools for Chapter 2
Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher


Chapter 3 Introduction to the Derivative
3.1 Limits: Numerical and Graphical Approaches On-line tutorial for Section 3.1
3.2 Limits and Continuity On-line tutorial for Section 3.2
3.3 Limits: Algebraic Approach On-line tutorial for Section 3.3
3.4 Average Rate of Change On-line tutorial for Section 3.4   Game version
3.5 The Derivative: Numerical and Graphical Viewpoints On-line tutorial for Section 3.5   Game version
3.6 The Derivative: Algebraic Viewpoint On-line tutorial for Section 3.6   Game version
3.7 Derivatives of Powers, Sums, and Constant Multiples On-line tutorial for Section 3.7
3.8 A First Application: Marginal Analysis
On-Line: Sketching the Graph of the Derivative
On-Line: Proof of the Power Rule
On-Line: Continuity and Differentiability
Case Study: Reducing Sulfur Emissions

On-Line Resources for Chapter 3
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Additional exercises for derivatives of powers, sums, and constant multiples | Chapter Excel Tutorials

Math Tools for Chapter 3
Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher | Simple Regression Utility | Download Free Mac Grapher


Chapter 4 Techniques of Differentiation
4.1 The Product and Quotient Rules On-line tutorial for Section 4.1
4.2 The Chain Rule On-line tutorial for Section 4.2
4.3 Derivatives of Logarithmic and Exponential Functions On-line tutorial for Section 4.3
4.4 Implicit Differentiation
On-Line:Linear Approximation and Error Estimation
On-Line:Proof of the Quotient Rule
On-Line:Proof of the Chain Rule
Case Study: Projecting Market Growth

On-Line Resources for Chapter 4
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Additional exercises for product and quotient rules


Chapter 5 Applications of the Derivative
5.1 Maxima and Minima On-line tutorial for Section 5.1
5.2 Applications of Maxima and Minima On-line tutorial for Section 5.2
5.3 The Second Derivative and Analyzing Graphs On-line tutorial for Section 5.3
5.4 Related Rates On-line tutorial for Section 5.4
5.5 Elasticity of Demand
Case Study: Production Lot Size Management

On-Line Resources for Chapter 5
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials

Math Tools for Chapter 5
Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Free Mac Grapher


Chapter 6 The Integral
6.1 The Indefinite Integral On-line tutorial for Section 6.1
6.2 Substitution On-line tutorial for Section 6.2
6.3 The Definite Integral: Numerical and Graphical Approaches On-line tutorial for Section 6.3
6.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus On-line tutorial for Section 6.4
On-Line: Numerical Integration
Case Study: Wage Inflation

On-Line Resources for Chapter 6
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials

Math Tools for Chapter 6
Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher


Chapter 7 Further Techniques and Applications of the Integral
7.1 Integration by Parts
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
Case Study: Estimating Tax Revenues

On-Line Resources for Chapter 7
Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials


Chapter 8 Functions of Several Variables
8.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints
8.2 Three Dimensional Space and the Graph of a Function of Two Variables
8.3 Partial Derivatives
8.4 Maxima and Minima
8.5 Constrained Maxima and Minima Applications Also See On-Line Material on Regression
8.6 Double Integrals
Case Study: Constructing a Best Fit Demand Curve

On-Line Resources for Chapter 8
Chapter Summary | Chapter True/False Quiz

Math Tools for Chapter 8
Surface Graphing Utility | Excel Surface Graphing Utility | Linear 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
On-Line: Proofs of Some Trigonometric Limits
On-Line: New Functions from Old: Scaled and Shifted Functions
Case Study: Predicting Cocoa Inventories

On-Line Resources for Chapter 9
Chapter Summary | On-line version of this chapter

Math Tools for Chapter 9
Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher


Chapter P: Calculus Applied to Probability and Statistics
(Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format)
Introduction
CP.1 Continuous Random Variables and Histograms
CP.2 Probability Density Functions: Uniform, Exponential, Normal, and Beta
CP.3 Mean, Median, Variance and Standard Deviation
Case Study: Creating a Family Trust

Last Updated: March, 2006
Copyright © 2001, 2006 Stefan Waner & Steven R. Costenoble

Top of Page