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applied calculus: everything!

Applied Calculus 5e   by
Stefan Waner and Steven R. Costenoble

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Chapter 0 Algebra Review
0.1 Real Numbers Online tutorial for Section 0.1
0.2 Exponents and Radicals Online tutorial for Section 0.2
0.3 Multiplying and Factoring Algebraic Equations Online tutorial for Section 0.3
0.4 Rational Expressions Online tutorial for Section 0.4
0.5 Solving Polynomial Equations Online tutorial for Section 0.5
0.6 Solving Miscellaneous Equations
0.7 The Coordinate Plane
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Chapter 1 Functions and Linear Models
4th Edition
 1.1 Functions from the Numerical and Algebraic Viewpoints Online tutorial for Section 1.1 1.2 Functions from the Graphical Viewpoint Online tutorial for Section 1.2 1.3 Linear Functions Online tutorial for Section 1.3 1.4 Linear Models Online tutorial for Section 1.4 1.5 Linear Regression Online tutorial for Section 1.5 Case Study: Modeling Spending on Internet Advertising
5th Edition
 1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints Online tutorial for Section 1.1 Game version 1.2 Functions and Models Online tutorial for Section 1.2 Game version 1.3 Linear Functions and Models Online tutorial for Section 1.3 Game version 1.4 Linear Regression Online tutorial for Section 1.4 Case Study: Modeling Spending on Internet Advertising

Online: New Functions from Old: Scaled and Shifted Functions
Online: Fitting Functions to Data: Linear and Exponential Regression

Online 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 | Steve Costenoble's Java Graphing Utility
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Chapter 2 Nonlinear Models
2.1 Quadratic Functions and Models Online tutorial for Section 2.1
2.2 Exponential Functions and Models Online tutorial for Section 2.2
2.3 Logarithmic Functions and Models Online tutorial for Section 2.3
2.4 Logistic Functions and Models
Online: Inverse Fuctions
Online: Fitting Functions to Data: Linear and Exponential Regression
Online: Using and Deriving Algebraic Properties of Logarithms
Case Study: Checking Up on MalthusWheat Production Data (Excel)

Online 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 | Steve Costenoble's Steve Costenoble's Java Graphing Utility
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Chapter 3 Introduction to the Derivative
4th Edition
 3.1 Limits: Numerical and Graphical Approaches Online tutorial for Section 3.1 3.2 Limits and Continuity Online tutorial for Section 3.2 3.3 Limits: Algebraic Approach Online tutorial for Section 3.3 3.4 Average Rate of Change Online tutorial for Section 3.4 Game version 3.5 The Derivative: Numerical and Graphical Viewpoints Online tutorial for Section 3.5   Game version 3.6 The Derivative: Algebraic Viewpoint Online tutorial for Section 3.6   Game version 3.7 Derivatives of Powers, Sums, and Constant Multiples Online tutorial for Section 3.7   Game version 3.8 A First Application: Marginal Analysis Case Study: Reducing Sulfur Emissions
5th Edition
 3.1 Limits: Numerical and Graphical Approaches Online tutorial for Section 3.1 3.2 Limits and Continuity Online tutorial for Section 3.2 3.3 Limits: Algebraic Approach Online tutorial for Section 3.3 3.4 Average Rate of Change Online tutorial for Section 3.4 Game version 3.5 The Derivative: Numerical and Graphical Viewpoints Online tutorial for Section 3.5Game version 3.6 The Derivative: Algebraic Viewpoint Online tutorial for Section 3.6Game version Case Study: Reducing Sulfur Emissions

Online: Sketching the Graph of the Derivative
Online: Continuity and Differentiability

Online 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 | Simple Regression Utility | Steve Costenoble's Steve Costenoble's Java Graphing Utility | Excel Derivative Grapher
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Chapter 4 Techniques of Differentiation
4th Edition
 4.1 The Product and Quotient Rules Online tutorial for Section 4.1Game version 4.2 The Chain Rule Online tutorialGame version 4.3 Derivatives of Logarithmic and Exponential Functions Online tutorial for Section 4.3Game version 4.4 Implicit Differentiation Case Study: Projecting Market Growth
5th Edition
 4.1 Derivatives of Powers, Sums, and Constant Multiples Online tutorial for Section 4.1Game version 4.2 A First Application: Marginal Analysis 4.3 The Product and Quotient Rules Online tutorial for Section 4.3Game version 4.4 The Chain Rule Online tutorial for Section 4.4Game version 4.5 Derivatives of Logarithmic and Exponential Functions Online tutorial for Section 4.5Game version 4.6 Implicit Differentiation Case Study: Projecting Market Growth

Video for Section 4.3 (Prof X-Squared): Product and Quotient Rules
Videos for Section 4.4 (Prof X-Squared): Chain Rule Part 1    Chain Rule Part 2
Online: Linear Approximation and Error Estimation
Online: Proof of the Power Rule
Online: Proof of the Quotient Rule
Online: Proof of the Chain Rule

Online Resources for Chapter 4
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Exercises for derivatives of powers, sums, and constant multiples | Exercises for product and quotient rules | Chapter Review Exercises
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Chapter 5 Applications of the Derivative
5.1 Maxima and Minima Online tutorial for Section 5.1   Game version
5.2 Applications of Maxima and Minima Online tutorial for Section 5.2
5.3 The Second Derivative and Analyzing Graphs Online tutorial for Section 5.3
5.4 Related Rates Online tutorial for Section 5.4
5.5 Elasticity of Demand
Case Study: Production Lot Size Management

Online Resources for Chapter 5
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials

Math Tools for Chapter 5
Steve Costenoble's Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility
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Chapter 6 The Integral
6.1 The Indefinite Integral
6.2 Substitution Online tutorial for Section 6.2   Game version
6.3 The Definite Integral: Numerical and Graphical Approaches Online tutorial for Section 6.3   Game version
6.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus Online tutorial for Section 6.4
Online: Numerical Integration
Case Study: Spending on Housing Construction

Online 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
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Chapter 7 Further Techniques and Applications of the Integral
7.1 Integration by Parts Videos for Section 7.1 (Prof X-Squared): Part 1   Part 2
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

Online Resources for Chapter 7
Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials
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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 Online Material on Regression
8.6 Double Integrals
Case Study: Modeling College Population

Online 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
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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

Online Resources for Chapter 9
Chapter Summary | Online version of this chapter | Chapter True/False Quiz

Math Tools for Chapter 9
Steve Costenoble's Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher
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Chapter P: Calculus Applied to Probability and Statistics
(Text and Complete Exercise Sets Online; 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: June, 2012