Brief Calculus An Applied Approach,9780618547197

Brief Calculus An Applied Approach

by ;
Edition: 7th
ISBN13: 9780618547197
ISBN10: 0618547193
Format: Hardcover
Pub. Date: 2005-02-02
Publisher(s): Cengage Learning
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Summary

This text comprises Chapters 0–7 of Larson and Edwards' Calculus: An Applied Approach, 6/e. For a complete description of this text's features, refer to the entry for that text.

Table of Contents

A Word from the Authors (Preface) vii
Features xii
A Plan for You as a Student (Study Strategies) xx
A Precalculus Review
1(1)
The Real Number Line and Order
2(6)
Absolute Value and Distance on the Real Number Line
8(5)
Exponents and Radicals
13(6)
Factoring Polynomials
19(6)
Fractions and Rationalization
25
Functions, Graphs, and Limits
1(80)
The Cartesian Plane and the Distance Formula
2(9)
Graphs of Equations
11(13)
Lines in the Plane and Slope
24(12)
Functions
36(13)
Limits
49(12)
Continuity
61(20)
Chapter 1 Algebra Review
72(2)
Chapter Summary and Study Strategies
74(2)
Review Exercises
76(4)
Sample Post-Graduation Exam Questions
80(1)
Differentiation
81(90)
The Derivative and the Slope of a Graph
82(11)
Some Rules for Differentiation
93(12)
Rates of Change: Velocity and Marginals
105(15)
The Product and Quotient Rules
120(11)
The Chain Rule
131(9)
Higher-Order Derivatives
140(7)
Implicit Differentiation
147(7)
Related Rates
154(17)
Chapter 2 Algebra Review
162(2)
Chapter Summary and Study Strategies
164(2)
Review Exercises
166(4)
Sample Post-Graduation Exam Questions
170(1)
Applications of the Derivative
171(86)
Increasing and Decreasing Functions
172(9)
Extrema and the First-Derivative Test
181(10)
Concavity and the Second-Derivative Test
191(10)
Optimization Problems
201(9)
Business and Economics Applications
210(10)
Asymptotes
220(11)
Curve Sketching: A Summary
231(9)
Differentials and Marginal Analysis
240(17)
Chapter 3 Algebra Review
248(2)
Chapter Summary and Study Strategies
250(2)
Review Exercises
252(4)
Sample Post-Graduation Exam Questions
256(1)
Exponential and Logarithmic Functions
257(60)
Exponential Functions
258(6)
Natural Exponential Functions
264(9)
Derivatives of Exponential Functions
273(8)
Logarithmic Functions
281(9)
Derivatives of Logarithmic Functions
290(9)
Exponential Growth and Decay
299(18)
Chapter 4 Algebra Review
308(2)
Chapter Summary and Study Strategies
310(2)
Review Exercises
312(4)
Sample Post-Graduation Exam Questions
316(1)
Integration and Its Applications
317(70)
Antiderivatives and Indefinite Integrals
318(11)
The General Power Rule
329(8)
Exponential and Logarithmic Integrals
337(7)
Area and the Fundamental Theorem of Calculus
344(12)
The Area of a Region Bounded by Two Graphs
356(9)
The Definite Integral as the Limit of a Sum
365(6)
Volumes of Solids of Revolution
371(16)
Chapter 5 Algebra Review
378(2)
Chapter Summary and Study Strategies
380(2)
Review Exercise
382(4)
Sample Post-Graduation Exam Questions
386(1)
Techniques of Integration
387(68)
Integration by Substitution
388(8)
Integration by Parts and Present Value
396(10)
Partial Fractions and Logistic Growth
406(10)
Integration Tables and Completing the Square
416(10)
Numerical Integration
426(10)
Improper Integrals
436(19)
Chapter 6 Algebra Review
446(2)
Chapter Summary and Study Strategies
448(2)
Review Exercises
450(4)
Sample Post-Graduation Exam Questions
454(1)
Functions of Several Variables
455
The Three-Dimensional Coordinate System
456(8)
Surfaces in Space
464(10)
Functions of Several Variables
474(9)
Partial Derivatives
483(11)
Extrema of Functions of Two Variables
494(10)
Lagrange Multipliers
504(10)
Least Squares Regression Analysis
514(10)
Double Integrals and Area in the Plane
524(8)
Applications of Double Integrals
532
Chapter 7 Algebra Review
540(2)
Chapter Summary and Study Strategies
542(2)
Review Exercises
544(4)
Sample Post-Graduation Exam Questions
548
Appendices
1(20)
Appendix A: Alternate Introduction to the Fundamental Theorem of Calculus
2(10)
Appendix B: Formulas
12(9)
Appendix C: Differential Equations
Solutions of Differential Equations
Separation of Variables
First-Order Linear Differential Equations
Applications of Differential Equations
Appendix D: Properties and Measurement
Review of Algebra, Geometry, and Trigonometry
Units of Measurements
Appendix E: Graphing Utility Programs
Graphing Utility Programs
Answers to Selected Exercises 21(64)
Answers to Try Its 85(12)
Index 97

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