by Ron Larson and Bruce H. Edwards
List price: $396.00
Designed specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Calculus: An Applied Approach, 7/e, addresses students' weak math skills through added structure and guidance on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learn--and Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter.
The Seventh Edition places a new emphasis on algebra review through Algebra Tips at point of use throughout the chapter and Algebra Review at the end of each chapter. This edition also builds on a proven emphasis on applications; updates and increases the coverage of technology at point of use; and includes sample post-graduation exam questions.
Approximately 6,000 exercises--progress from skill-development problems to more challenging, real-world application questions--are easily customized to the difficulty level of the instructor's choice. In addition, a number of relevant exercises from textbooks in other disciplines--such as biology, chemistry, economics, finance, geology, physics, and psychology--to show students that they will use calculus in future courses outside of the math curriculum.
A Precalculus Review
0.1 The Real Line and Order
0.2 Absolute Value and Distance on the Real Line
0.3 Exponents and Radicals
0.4 Factoring Polynomials
0.5 Fractions and Rationalization
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
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
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
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
5. Integration and Its Applications
5.1 Antiderivatives and Indefinite Integrals
5.2 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
5.7 Volumes of Solids of Revolution
6. Techniques of Integration
6.1 Integration by Substitution
6.2 Integration by Parts and Present Value
6.3 Partial Fractions and Logistic Growth
6.4 Integration Tables and Completing the Square
6.5 Numerical Integration
6.6 Improper Integrals
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
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
8.6 L'Hôpital's Rule
9. Probability and Calculus
9.1 Discrete Probability
9.2 Continuous Random Variables
9.3 Expected Value and Variance
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
Appendices
A. Alternate Introduction to the Fundamental Theorem of Calculus
B. Formulas
C. Differential Equations
C.1 Solutions of Differential Equations
C.2 Separation of Variables
C.3 First-Order Linear Differential Equations
C.4 Applications of Differential Equations
Ron Larson and Bruce H. Edwards
ISBN13: 978-0618547180Designed specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Calculus: An Applied Approach, 7/e, addresses students' weak math skills through added structure and guidance on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learn--and Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter.
The Seventh Edition places a new emphasis on algebra review through Algebra Tips at point of use throughout the chapter and Algebra Review at the end of each chapter. This edition also builds on a proven emphasis on applications; updates and increases the coverage of technology at point of use; and includes sample post-graduation exam questions.
Approximately 6,000 exercises--progress from skill-development problems to more challenging, real-world application questions--are easily customized to the difficulty level of the instructor's choice. In addition, a number of relevant exercises from textbooks in other disciplines--such as biology, chemistry, economics, finance, geology, physics, and psychology--to show students that they will use calculus in future courses outside of the math curriculum.
Table of Contents
A Precalculus Review
0.1 The Real Line and Order
0.2 Absolute Value and Distance on the Real Line
0.3 Exponents and Radicals
0.4 Factoring Polynomials
0.5 Fractions and Rationalization
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
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
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
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
5. Integration and Its Applications
5.1 Antiderivatives and Indefinite Integrals
5.2 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
5.7 Volumes of Solids of Revolution
6. Techniques of Integration
6.1 Integration by Substitution
6.2 Integration by Parts and Present Value
6.3 Partial Fractions and Logistic Growth
6.4 Integration Tables and Completing the Square
6.5 Numerical Integration
6.6 Improper Integrals
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
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
8.6 L'Hôpital's Rule
9. Probability and Calculus
9.1 Discrete Probability
9.2 Continuous Random Variables
9.3 Expected Value and Variance
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
Appendices
A. Alternate Introduction to the Fundamental Theorem of Calculus
B. Formulas
C. Differential Equations
C.1 Solutions of Differential Equations
C.2 Separation of Variables
C.3 First-Order Linear Differential Equations
C.4 Applications of Differential Equations