9780495383123

Applied Calculus for the Managerial, Life, and Social Sciences

by
  • ISBN13:

    9780495383123

  • ISBN10:

    0495383120

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 12/29/2006
  • Publisher: Brooks Cole
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Supplemental Materials

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Summary

This text helps you succeed in applied calculus by using clear explanations, real-life examples, and up-to-date technology. Real-life applications-such as satellite radio subscriptions, Google's revenue, job outsourcing, and the effects of smoking bans-are drawn from the areas of business and the behavioral, life, and social sciences. Portfolio profiles give you a firsthand look at how real-world professionals use applied calculus in their work. You can also take advantage of extensive online support to enhance your learning, including video instruction and interactive tutorials that walk you step by step through examples and problems in the text.

Table of Contents

Preliminaries
Precalculus Review
Precalculus Review II
The Cartesian Coordinate System
Straight Lines
Functions, Limits, and the Derivative
Functions and Their Graphs
The Algebra of Functions
Functions and Mathematical Models
Limits
One-Sided Limits and Continuity
Derivative
Differentiation
Basic Rules of Differentiation
The Product and Quotient Rules
The Chain Rule
Marginal Functions in Economics
Higher-Order Derivatives
Implicit Differentiation and Related Rates
Differentials
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization
Optimization II
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Compound Interest
Differentiation of Exponential Functions
Differentiation of Logarithmic Functions
Exponential Functions as Mathematical Models
Integration
Antiderivatives and the Rules of Integration
Integration by Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
Evaluating Definite Integrals
Area Between Two Curves
Applications of the Definite Integral to Business and Economics
Volumes of Solids of Revolution
Additional Topics in Integration
Integration by Parts
Integration Using Tables of Integrals
Numerical Integration
Improper Integrals
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Maxima and Minima of Functions of Several Variables
The Method of Least Squares
Constrained Maxima and Minima and the Method of Lagrange Multipliers
Total Differentials
Double Integrals
Applications of Double Integrals
Differential Equations
Differential Equations
Separation of Variables
Applications of Separable Differential Equations
Approximate Solutions of Differential Equations
Probability and Calculus
Probability Distributions of Random Variables
Expected Value and Standard Deviation
Normal Distributions
Taylor Polynomials and Infinite Series
Taylor Polynomials
Infinite Sequences
Infinite Series
Series with Positive Terms
Power Series and Taylor Series
More on Taylor Series
The Newton's Method
Trigonometric Functions
Measurement of Angles
The Trigonometric Functions
Differentiation of Trigonometric Functions
Integration of Trigonometric Functions
Inverse Functions
Table
Answers to Odd-Numbered Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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