Applied Calculus

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  • Edition: 5th
  • Format: Hardcover
  • Copyright: 11/20/2008
  • 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 studentsí interest and show them the practical side of calculus. Many applications are financial or business related, but many applications in this text cover general-interest topics as well, including the growing population of Africa, the composition of the Supreme Court, water shortage, the fastest pitch in baseball, and pollution and the depletion of natural resources. The Fifth Edition maintains the hallmark features that have made Applied Calculus so popular: contemporary and interesting applications; careful and effective use of technology, including integrated calculator coverage that is optional; constant pedagogical reinforcement through section summaries, chapter summaries, carefully annotated examples, and extra practice problems; and a variety of exercises and assignment options including exercise sets, projects, and essays.

Table of Contents

A Users Guide to Features
Integrating Excel
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 the Generalized Power Rule
Nondifferentiable Functions
Further Applications Of Derivatives
Graphing Using the First Derivative
Graphing Using the and Second Derivatives
Further Applications of Optimization
Optimizing Lot Size and Harvest Size
Implicit Differentiation and Related Rules
Exponential And Logarithmic Functions
Exponential Functions
Logarithmic Functions
Differentiation of Logarithmic.and Exponential Functions
Two Applications to Economics: Relative 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
Integration by Parts
Integration Using Tables
Improper Integrals
Numerical Integration
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
Trigonometric Functions
Triangles, Angles, and Radian Measure
Sine and Cosine Functions
Derivatives of Sine and Cosine Functions
Integrals of Sine and Cosine Functions
Other Trigonometric Functions
Differential Equations
Separation of Variables
Further Applications of Differential Equations: Three Models of Growth
First-Order Linear Differential Equations
Approximate Solutions of Differential Equations: Eulers Method
Sequences And Series
Geometric Series
Taylor Polynomials
Taylor Series
Newtons Method
Discrete Probability
Continuous Probability
Uniform and Exponential Random Variables
Norml Random Variables
Appendix: Normal Probabilities from Tables
Answers to Selected Exercises
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