Calculus: An Applied Approach )

Contents
Preface
Instructor Resources
Student Resources
Acknowledgements
Ch 1: Functions, Graphs, and Limits
	1.1 The Cartesian Plane and the Distance Formula
	1.2 Graphs of Equations
	1.3 Lines in the Plane and Slope
	1.4 Functions
	1.5 Limits
	1.6 Continuity
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 2: Differentiation
	2.1 The Derivative and the Slope of a Graph
	2.2 Some Rules for Differentiation
	2.3 Rates of Change: Velocity and Marginals
	2.4 The Product and Quotient Rules
	2.5 The Chain Rule
	2.6 Higher-Order Derivatives
	2.7 Implicit Differentiation
	2.8 Related Rates
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 3: Applications of the Derivative
	3.1 Increasing and Decreasing Functions
	3.2 Extrema and the First-Derivative Test
	3.3 Concavity and the Second-Derivative Test
	3.4 Optimization Problems
	3.5 Business and Economics Applications
	3.6 Asymptotes
	3.7 Curve Sketching: A Summary
	3.8 Differentials and Marginal Analysis
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 4: Exponential and Logarithmic Functions
	4.1 Exponential Functions
	4.2 Natural Exponential Functions
	4.3 Derivatives of Exponential Functions
	4.4 Logarithmic Functions
	4.5 Derivatives of Logarithmic Functions
	4.6 Exponential Growth and Decay
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 5: Integration and Its Applications
	5.1 Antiderivatives and Indefinite Integrals
	5.2 Integration by Substitution and the General Power Rule
	5.3 Exponential and Logarithmic Integrals
	5.4 Area and the Fundamental Theorem of Calculus
	5.5 The Area of a Region Bounded by Two Graphs
	5.6 The Definite Integral as the Limit of a Sum
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 6: Techniques of Integration
	6.1 Integration by Parts and Present Value
	6.2 Integration Tables
	6.3 Numerical Integration
	6.4 Improper Integrals
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 7: Functions of Several Variables
	7.1 The Three-Dimensional Coordinate System
	7.2 Surfaces in Space
	7.3 Functions of Several Variables
	7.4 Partial Derivatives
	7.5 Extrema of Functions of Two Variables
	7.6 Lagrange Multipliers
	7.7 Least Squares Regression Analysis
	7.8 Double Integrals and Area in the Plane
	7.9 Applications of Double Integrals
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 8: Trigonometric Functions
	8.1 Radian Measure of Angles
	8.2 The Trigonometric Functions
	8.3 Graphs of Trigonometric Functions
	8.4 Derivatives of Trigonometric Functions
	8.5 Integrals of Trigonometric Functions
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 9: Probability and Calculus
	9.1 Discrete Probability
	9.2 Continuous Random Variables
	9.3 Expected Value and Variance
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 10: Series and Taylor Polynomials
	10.1 Sequences
	10.2 Series and Convergence
	10.3 p-Series and the Ratio Test
	10.4 Power Series and Taylor's Theorem
	10.5 Taylor Polynomials
	10.6 Newton's Method
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Ch 11: Differential Equations
	11.1 Solutions of Differential Equations
	11.2 Separation of Variables
	11.3 First-Order Linear Differential Equations
	11.4 Applications of Differential Equations
	Algebra Tutor
	Summary and Study Strategies
	Review Exercises
	Test Yourself
Appendices
	Appendix A: Precalculus Review
	Appendix B: Alternative Introduction to the Fundamental Theorem of Calculus
	Appendix C: Formulas
Answers to Selected Exercises
Answers to Checkpoints
Answers to Tech Tutors
Index