9780201593389

Calculus and Its Applications

by
  • ISBN13:

    9780201593389

  • ISBN10:

    0201593386

  • Edition: 6th
  • Format: Hardcover
  • Copyright: 1/1/1996
  • Publisher: Addison-Wesley
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Summary

Calculus and Its Applications has, for years, been a best-selling text for one simple reason: it anticipates, then meets the needs of today's applied calculus student. Knowing that calculus is a course in which students typically struggle--both with algebra skills and visualizing new calculus concepts--Bittinger and Ellenbogen speak to students in a way they understand, taking great pains to provide clear and careful explanations.&Since most&students taking this course will go on to careers in the business world, &large quantities of real data, especially as they apply to&business, are included as well.

Table of Contents

Functions, Graphs, and Models
Graphs and Equations
Functions and Models
Finding Domain and Range
Slope and Linear Functions
Nonlinear Functions and Models
Mathematical Modeling and Curve Fitting
Extended Technology Application: Payrolls of Professional Basketball Teams
Differentiation
Limits: A Numerical and Graphical Approach
Algebraic Limits and Continuity
Average Rates of Change
Differentiation Using Limits of Difference Quotients
Differentiation Techniques: The Power and Sum-Difference Rules
Differentiation Techniques: The Product and Quotient Rules
The Chain Rule
Higher-Order Derivatives
Extended Technology Application: Path of a Baseball: The Tale of the Tape
Applications of Differentiation
Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs
Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs
Graph Sketching: Asymptotes and Rational Functions
Using Derivatives to Find Absolute Maximum and Minimum Values
Maximum-Minimum Problems: Business and Economics Applications
Marginals and Differentials
Implicit Differentiation and Related Rates
Extended Technology Application: Maximum Sustainable Harvest
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Applications: The Uninhibited Growth Model, dP/dt = kP
Applications: Decay
The Derivatives of a x and logax
An Economics Application: Elasticity of Demand
Extended Technology Application: The Business of Motion Picture Box-Office Revenue
Integration
The Area Under a Graph
Area, Antiderivatives, and Integrals
Area and Definite Integrals
Properties of Definite Integrals
Integration Techniques: Substitution
Integration Techniques: Integration by Parts
Integration Techniques: Tables
Extended Technology Application: Financial Predictions for Starbucks, Lowes, The Gap, and Intel
Applications of Integration
An Economics Application: Consumer Surplus and Producer Surplus
Applications of the Models
Improper Integrals
Probability
Probability: Expected Value The Normal Distribution
Volume
Differential Equations
Extended Technology Application: Curve Fitting and the Volume of a Bottle of Soda
Functions of Several Variables
Functions of Several Variables
Partial Derivatives
Maximum-Minimum Problems
An Application: The Least-Squares Technique
Constrained Maximum and Minimum Values: Lagrange Multipliers
Double Integrals
Extended Technology Application: Minimizing Employees' Travel Time in a Building
Cumulative Review
Review of Basic Algebra
Tables
Integration Formulas
Areas for a Standard Normal Distribution
Table of Contents provided by Publisher. All Rights Reserved.

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