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Calculus An Applied Approach

ISBN-10: 0618218696

ISBN-13: 9780618218691

Edition: 6th 2003

Authors: Ron Larson, Bruce H. Edwards

List price: $352.95
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Book details

List price: $352.95
Edition: 6th
Copyright year: 2003
Publisher: CENGAGE Learning
Publication date: 2/28/2002
Binding: Hardcover
Pages: 928
Size: 7.94" wide x 10.00" long x 0.50" tall
Weight: 3.982
Language: English

Note: Chapters 110 conclude with an Algebra Review, a Chapter Summary and Study Strategies, Review Exercises, and Sample Post-Graduation Exam Questions. A Word from the Authors (Preface) Features A Plan for You as a Student (Study Strategies)
A Precalculus Review
The Real Line and Order
Absolute Value and Distance on the Real Line
Exponents and Radicals
Factoring Polynomials
Fractions and Rationalization
Functions, Graphs, and Limits
The Cartesian Plane and the Distance Formula
Graphs of Equations
Lines in the Plane and Slope
Functions
Limits
Continuity
Differentiation
The Derivative and the Slope of a Graph
Some Rules for Differentiation
Rates of Change: Velocity and Marginals
The Product and Quotient Rules
The Chain Rule
Higher-Order Derivatives
Implicit Differentiation
Related Rates
Applications of the Derivative
Increasing and Decreasing Functions
Extrema and the First-Derivative Test
Concavity and the Second-Derivative Test
Optimization Problems
Business and Economics Applications
Asymptotes
Curve Sketching: A Summary
Differentials and Marginal Analysis
Exponential and Logarithmic Functions
Exponential Functions
Natural Exponential Functions
Derivatives of Exponential Functions
Logarithmic Functions
Derivatives of Logarithmic Functions
Exponential Growth and Decay
Integration and Its Applications
Antiderivatives and Indefinite Integrals
The General Power Rule
Exponential and Logarithmic Integrals
Area and the Fundamental Theorem of Calculus
The Area of a Region Bounded by Two Graphs
The Definite Integral as the Limit of a Sum
Volumes of Solids of Revolution
Techniques of Integration
Integration by Substitution
Integration by Parts and Present Value
Partial Fractions and Logistic Growth
Integration Tables and Completing the Square
Numerical Integration
Improper Integrals
Functions of Several Variables
The Three-Dimensional Coordinate System
Surfaces in Space
Functions of Several Variables
Partial Derivatives
Extrema of Functions of Two Variables
Lagrange Multipliers
Least Squares Regression Analysis
Double Integrals and Area in the Plane
Applications of Double Integrals
Trigonometric Functions
Radian Measure of Angles
The Trigonometric Functions
Graphs of Trigonometric Functions
Derivatives of Trigonometric Functions
Integrals of Trigonometric Functions
L'Hocirc;pital's Rule
Probability and Calculus
Discrete Probability
Continuous Random Variables
Expected Value and Variance
Series and Taylor Polynomials
Sequences
Series and Convergence
p-Series and the Ratio Test
Power Series and Taylor's Theorem
Taylor Polynomials
Newton's Method
Appendices
Alternate Introduction to the Fundamental Theorem of Calculus
Formulas
Differential Equations
Solutions of Differential Equations
Separation of Variables
First-Order Linear Differential Equations
Applications of Differential Equations
Properties and Measurement
Graphing Utility Programs