Everything for Applied Calc
 
 
 
 
 
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Everything for Applied Calc
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applied calculus: everything!



Following the table of contents in Applied Calculus 6e
by
Stefan Waner and Steven R. Costenoble

You can get back here from anywhere by using the Everything for Applied Calc link.
Note: To change the edition of the book, use the navigation on the top left.

 
Chapter 0 Precalculus review
0.1 Real numbers0.1 Tutorial | Adaptive game tutorial
0.2 Exponents and radicals0.2 Tutorial | Adaptive game tutorial
0.3 Multiplying and factoring algebraic equations0.3 Tutorial | Adaptive game tutorial
0.4 Rational expressions 0.4 Tutorial | Adaptive game tutorial
0.5 Solving polynomial equations0.5 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 viewpoints1.1 Tutorial | Game tutorial |
Video 
Video  for Section 1.1:
Introduction to functions
|
1.2 Functions and models1.2 Tutorial | Game tutorial | |
1.3 Linear functions and models1.3 Tutorial | Game tutorial | |
1.4 Linear regression1.4 Tutorial | Game tutorial |
Video 
Video  for Section 1.4:
Linear Regression
|
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 models2.1 Tutorial | |
2.2 Exponential functions and models2.2 Tutorial | |
2.3 Logarithmic functions and models2.3 Tutorial | |
2.4 Logistic functions and models
Video 
Video  for Section 2.4:
Logistic functions and models
|
Practice/visualize
Practice/visualize for Section 9.4:
Logistic functions: Basics
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 MalthusWheat 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 viewpoints3.1 Tutorial | Game tutorial | |
3.2 Limits and continuity3.2 Tutorial | Game tutorial |
Video 
Video  for Section 3.2:
Limits and continnutiy
3.3 Limits and continuity: algebraic viewpoint3.3 Tutorial | Game tutorial |
3.4 Average rate of change3.4 Tutorial | Game tutorial |
Video 
Video  for Section 3.4:
Average rates of change
3.5 The derivative: numerical and graphical viewpoints3.5 Tutorial | Game tutorial | |
3.6 The derivative: algebraic viewpoint3.6 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 multiples4.1 Tutorial | Game tutorial | |
4.2 A first application: Marginal analysis4.2 Tutorial | Game tutorial |
Video 
Video  for Section 4.2:
Marginal analysiss
|
4.3 The product and quotient rules4.3 Tutorial | Game tutorial | |
Practice/visualize
Practice/visualize for Section 11.3:
Practice product and quotient rule
4.4 The chain rule4.4 Tutorial | Game tutorial | |
Practice/visualize
Practice/visualize for Section 11.4:
Derivatives using the chain rule
4.5 Derivatives of logarithmic and exponential functions4.5 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 minima5.1 Tutorial | Game tutorial |
Video 
Video  for Section 5.1:
Maxima and minima
5.2 Applications of maxima and minima5.2 Tutorial | Game tutorial | |
Practice/visualize
Practice/visualize for Section 12.2:
Applied optimization
5.3 Higher order derivatives: Acceleration and concavity5.3 Tutorial | Game tutorial |
5.4 Analyzing graphs5.4 Tutorial |
Video 
Video  for Section 5.4:
Analyzing graphs
5.5 Related rates5.5 Tutorial | Game tutorial |
Video 
Video  for Section 5.5:
Related rates
|
Practice/visualize
Practice/visualize for Section 12.5:
Related rates
5.6 Elasticity 5.6 Tutorial | Game tutorial |
Video 
Video  for Section 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 integral6.1 Tutorial | Game tutorial |
6.2 Substitution6.2 Tutorial | Game tutorial |
6.3 The definite integral: Numerical and graphical viewpoints6.3 Tutorial | Game tutorial |
6.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus6.4 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 (TI-82/83/84/85/86) | Excel Riemann sum grapher

Chapter 7 Further integration techniques and applications of the integral
7.1 Integration by parts7.1 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 (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
Video 
Video  for Section 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 volumeDownload 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
Practice/visualize
Practice/visualize for Section S.3:
Telescoping 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