Applied Calculus

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  • Edition: 4th
  • Format: Hardcover
  • Copyright: 1/31/2006
  • Publisher: Brooks Cole
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This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Integrated use of graphing calculators, combined with thought-provoking writing exercises, give students a well-rounded mathematical experience. Brief Applied Calculus has been praised by reviewers for its optional integration of technology and its strong pedagogy, which includes unique end-of-section summaries. For added convenience and motivation, complete Solutions to Practice Problems are now placed between the Section Summary and Section Exercises, rather than in an appendix. Eduspace is Houghton Mifflin's online learning tool. Powered by Blackboard, Eduspace is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. The Berresford/Rockett Applied Calculus course features algorithmic exercises and test bank content in question pools.

Table of Contents

Note: Each chapter concludes with a Chapter Summary and Hints and Suggestions, and Review Exercises
A User's Guide to Features Graphing Calculator Terminology
Real Numbers, Inequalities, and Lines
Functions, Continued
Derivatives and Their Uses
Limits and Continuity
Rates of Change, Slopes, and Derivatives
Some Differentiation Formulas
The Product and Quotient Rules
Higher-Order Derivatives
The Chain Rule and Generalized Power Rule
Nondifferentiable Functions
Further Applications of Derivatives
Graphing Using the First Derivative
Graphing Using the First and Second Derivatives
Further Applications of Optimization
Optimizing Lot Size and Harvest Size
Implicit Differentiation and Related Rates Cumulative Review for Chapters 13
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Differentiation of Logarithmic and Exponential Functions
Two Applications to Economics: Related Rates and Elasticity of Demand
Integration and Its Applications
Antiderivatives and Indefinite Integrals
Integration Using Logarithmic and Exponential Functions
Definite Integrals and Areas
Further Applications of Definite Integrals: Average Value and Area Between Curves
Two Applications to Economics: Consumers' Surplus and Income Distribution
Integration by Substitution
Integration Techniques and Differential Equations
Integration by Parts
Integration Using Tables
Improper Integrals
Numerical Integration
Differential Equations
Further Applications of Differential Equations: Three Models of Growth
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Optimizing Functions of Several Variables
Least Squares
Lagrange Multipliers and Constrained Optimization
Total Differentials and Approximate Changes
Multiple Integrals Cumulative Review for Chapters 17
Answers to Selected Exercises
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