Study and Solutions Guide for Calculus Volume I : Larson/Hostetler/Edwards

by Larson, Ron

Edition:

6th

ISBN13:

9780395887677

ISBN10:

0395887674

Format:

Paperback

Pub. Date:

11/12/1997

Publisher(s):

Brooks Cole

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This is the 6th edition with a publication date of 11/12/1997.

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Algebra Review

(222)

Preparation for Calculus

Graphs and Models

(2)

Linear Models and Rates of Change

(2)

Functions and Their Graphs

(2)

Fitting Models to Data

(3)

Review Exercises

(3)

Limits and Their Properties

A Preview of Calculus

(1)

Finding Limits Graphically and Numerically

(1)

Evaluating Limits Analytically

(2)

Continuity and One-Sided Limits

(3)

Infinite Limits

(4)

Review Exercises

(2)

Differentiation

The Derivative and the Tangent Line Problem

(2)

Basic Differentiation Rules and Rates of Change

(3)

The Product and Quotient Rules and Higher-Order Derivatives

(2)

The Chain Rule

(2)

Implicit Differentiation

(3)

Related Rates

(8)

Review Exercises

(4)

Applications of Differentiation

Extrema on an Interval

(32)

Rolle's Theorem and the Mean Value Theorem

Increasing and Decreasing Functions and the First Derivative Test

(34)

Concavity and the Second Derivative Test

Limits at Infinity

(2)

A Summary of Curve Sketching

(3)

Optimization Problems

(4)

Newton's Method

(1)

Differentials

(1)

Business and Economic Applications

(9)

Review Exercises

(7)

Integration

Antiderivatives and Indefinite Integration

(2)

Area

(2)

Riemann Sums and Definite Integrals

(743)

The Fundamental Theorem of Calculus

823

Integration by Substitution

(5)

Numerical Integration

(5)

Review Exercises

(3)

Logarithmic, Exponential, and Other Transcendental Functions

The Natural Logarithmic Function and Differentiation

(2)

The Natural Logarithmic Function and Integration

(2)

Inverse Functions

(2)

Exponential Functions: Differentiation and Integration

100

(3)

Bases Other than e and Applications

103

(1)

Differential Equations: Growth and Decay

104

(2)

Differential Equations; Separation of Variables

106

(4)

Inverse Trigonometric Functions and differentiation

110

(1)

Inverse Trigonometric Functions and Integration

111

(2)

Hyperbolic Functions

113

(5)

Review Exercises

115

(3)

Applications of Integration

Area of a Region Between Two Curves

118

(2)

Wolume: The Disc Method

120

(4)

Volume: The Shell Method

124

(3)

Arc Length and Surfaces of Revolution

127

(2)

Work

129

(2)

Moments, Centers and Mass, and Centroids

131

(3)

Fluid Pressure and Fluid Force

134

(5)

Review Exercises

134

(5)

Integration Techniques, L'Hopital's Rule, and Improper Integrals

Basic Integration Rules

139

(2)

Integration by Parts

141

(5)

Trigonometric Integrals

146

(3)

Trigonometric Substitution

149

(5)

Partial Fractions

154

(2)

Integration by Tables and Other Integration Techniques

156

(2)

Indeterminate Forms and L'Hopital's Rule

158

(2)

Improper Integrals

160

(8)

Review Exercises

163

(5)

Infinite Series

Sequences

168

(2)

Series and Convergence

170

(2)

The Integral Test and p-series

172

(1)

Comparisons of Series

173

(1)

Alternating Series

174

(2)

The Ratio and Root Tests

176

(2)

Taylor Polynomials and Approximations

178

(3)

Power Series

181

(2)

Representation of Functions by Power Series

183

(2)

Taylor and Maclaurin Series

185

(6)

Review Exercises

188

(3)

Conics, Parametric Equations, and Polar Coordinates

Conics and Calculus

191

(7)

Plane Curves and Parametric Equations

198

(3)

Parametric Equations and Calculus

201

(3)

Area and Arc Length in Polar Coordinates

204

(3)

Polar Coordinates and Polar Coordinates

207

(3)

Polar Equations of Conics and Kepler's Laws

210

(2)

Review Exercises

212

(5)

Appendices

Appendix A.1

217

(1)

Appendix A.2

218

(2)

Appendix A.3

220

(2)

Appendix E

222

Study and Solutions Guide for Calculus Volume I : Larson/Hostetler/Edwards

9780395887677

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