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Applied Calculus

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Everything for Finite Math Everything for Calculus Everything for Finite Math & Calculus Topic Summaries OnLine Tutorials OnLine Text Topic Quizzes Topic Review Exercises OnLine Utilities 

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Chapter 1 Functions and Models  
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 
OnLine: New Functions from Old: Scaled and Shifted Functions  
OnLine: Fitting Functions to Data: Linear and Exponential Regression  
You're the Expert Modeling Spending on Internet Advertising  
OnLine Resources for Chapter 1  
Chapter Summary  Chapter True/False Quiz  Chapter Review Exercises  Chapter Excel Tutorials  
Math Tools for Chapter 1  
Java Graphing Utility  Function Evaluator & Grapher  Excel Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 2 Nonlinear Models  
2.1 Quadratic Functions and Models  
2.2 Exponential Functions and Models  
2.3 Logarithmic Functions and Models  
2.4* Trigonometric Functions and Models  
OnLine: Inverse Fuctions  
OnLine: Fitting Functions to Data: Linear and Exponential Regression  
OnLine: Using and Deriving Algebraic Properties of Logarithms  
OnLine: Trigonometric Functions and Calculus  
You're the Expert Epidemics  
OnLine Resources for Chapter 2  
Chapter Summary  Chapter True/False Quiz  Chapter Review Exercises  Chapter Excel Tutorials  
Math Tools for Chapter 2  
Java Graphing Utility  Function Evaluator & Grapher  Excel Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 3 Introduction to the Derivative  
3.1 Average Rate of Change  Online tutorial for Section 3.1 
3.2 The Derivative as Rate of Change: A Numerical Approach  Online tutorial for Section 3.2 
3.3 The Derivative as Slope: A Geometric Approach  Online tutorial for Section 3.3 
3.4 The Derivative as a Function: An Algebraic Approach  Online tutorial for Section 3.4 
3.5 A First Application: Marginal Analysis  
3.6* Limits and Continuity: Numerical & Graphical Approaches  Online tutorial for Section 3.6 
3.7* Limits and Continuity: Algebraic Approach  Online tutorial for Section 3.7 
OnLine: Sketching the Graph of the Derivative  
OnLine: Proof of the Power Rule  
OnLine: Continuity and Differentiability  
You're the ExpertReducing Sulfur Emissions  
OnLine Resources for Chapter 3  
Chapter Summary  Chapter True/False Quiz  Chapter Review Exercises  Chapter Excel Tutorials  
Math Tools for Chapter 3  
Java Graphing Utility  Function Evaluator & Grapher  Excel Grapher  Simple Regression Utility  Download Free Mac Grapher  
Chapter 4 Techniques of Differentiation  
4.1 The Product and Quotient Rules  Online tutorial for Section 4.1 
4.2 The Chain Rule  Online tutorial for Section 4.2 
4.3 Derivatives of Logarithmic and Exponential Functions  Online tutorial for Section 4.3 
4.4 Derivatives of Trigonometric Functions  Online text for this topic 
4.5 Implicit Differentiation  
OnLine:Linear Approximation and Error Estimation  
OnLine:Proof of the Quotient Rule  
OnLine:Proof of the Chain Rule  
OnLine: Proofs of Some Trigonometric Limits  
You're the Expert  Projecting Market Growth  
OnLine Resources for Chapter 4  
Chapter Summary  Chapter True/False Quiz  Chapter Review Exercises  
Chapter 5 Applications of the Derivative  
5.1 Maxima and Minima  Online tutorial for Section 5.1 
5.2 Applications of Maxima and Minima  Online tutorial for Section 5.2 
5.3 The Second Derivative and Analyzing Graphs  
5.4 Related Rates  Online tutorial for Section 5.4 
5.5 Elasticity of Demand  
You're the ExpertProduction 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  
Java Graphing Utility  Function Evaluator & Grapher  Excel First and SecondDerivative Graphing Utility  Free Mac Grapher  
Chapter 6 The Integral  
6.1 The Indefinite Integral  Online tutorial for Section 6.1 
6.2 Substitution  Online tutorial for Section 6.2 
6.3 The Definite Integral as a Sum: A Numerical Approach  
6.4 The Definite Integral as Area: A Geometric Approach  
6.5 The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus  
OnLine: Numerical Integration  
You're the ExpertWage Inflation  
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  
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 Continuous Income Streams  
7.5 Improper Integrals and Applications  
7.6 Differential Equations and Applications  
You're the ExpertEstimating Tax Revenues  
OnLine 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 OnLine Material on Regression 
8.6 Double Integrals  
You're the ExpertConstructing a Best Fit Demand Curve  
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  
OnLine Chapter: Trigonometric Functions and Calculus (Text and Complete Exercise Sets OnLine; brings together material in Chapters 2, 4, and 6) 

Introduction  
Modeling with the Sine Function  
The Six Trigonometric Functions  
Derivatives of Trigonometric Functions  
Integrals of Trigonometric Functions  
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  
You're the ExpertCreating a Family Trust  
Appendix A: Algebra Review  
A.1 Real Numbers  Online tutorial for Section A.1 
A.2 Exponents and Radicals  Online tutorial for Section A.2 
A.3 Multiplying and Factoring Algebraic Equations  Online tutorial for Section A.3 
A.4 Rational Expressions  Online tutorial for Section A.4 
A.5 Solving Polynomial Equations  Online tutorial for Section A.5 
A.6 Solving Miscellaneous Equations 