Calculus: An Applied Approach )

✍ Scribed by Ron Larson

• Publisher: Cengage Learning
• Year: 2012
• Tongue: English
• Leaves: 861
• Edition: 9
• Category: Library

✦ Synopsis

Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Ninth Edition, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students' diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--provide extra guidance and practice.

✦ Table of Contents

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