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applied calculus: everything! Following the table of contents in Applied Calculus 4e   by Stefan Waner and Steven R. Costenoble You can get back here from anywhere by pressing the "Everything for Calculus" link.   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 Top of Page 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 1.2 Applications: Functions and Models 1.3 Linear Functions and models Online tutorial for Section 1.3 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 Top of Page 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 Malthus Wheat 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 Top of Page 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 3.5 Game version 3.6 The Derivative: Algebraic Viewpoint Online tutorial for Section 3.6 Game 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 Top of Page Chapter 4 Techniques of Differentiation 4th Edition 4.1 The Product and Quotient Rules Online tutorial for Section 4.1 Game version 4.2 The Chain Rule Online tutorial Game version 4.3 Derivatives of Logarithmic and Exponential Functions Online tutorial for Section 4.3 Game 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 4.1 Game version 4.2 A First Application: Marginal Analysis 4.3 The Product and Quotient Rules Online tutorial for Section 4.3 Game version 4.4 The Chain Rule Online tutorial for Section 4.4 Game version 4.5 Derivatives of Logarithmic and Exponential Functions Online tutorial for Section 4.5 Game version 4.6 Implicit Differentiation Case Study: Projecting Market Growth   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 | Additional exercises for product and quotient rules Top of Page 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 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 Top of Page Chapter 6 The Integral 6.1 The Indefinite Integral Online tutorial for Section 6.1   Game version 6.2 Substitution Online tutorial for Section 6.2 6.3 The Definite Integral: Numerical and Graphical Approaches Online tutorial for Section 6.3 6.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus Online tutorial for Section 6.4 Online: Numerical Integration Case Study: Wage 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 Top of Page 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 Online Resources for Chapter 7 Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials Top of Page 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: Constructing 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 Top of Page 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 (coming in fifth edition): Predicting Airline Empty Seat Volume Download data Online Resources for Chapter 9 Chapter Summary | Online version of this chapter Math Tools for Chapter 9 Steve Costenoble's Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher Top of Page 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: August, 2007 Copyright © 2007 Stefan Waner Top of Page