9780321228291

Calculus with Applications, Brief Version

by ; ;
  • ISBN13:

    9780321228291

  • ISBN10:

    0321228294

  • Edition: 8th
  • Format: Hardcover
  • Copyright: 1/1/2005
  • Publisher: Addison Wesley
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List Price: $150.67

Summary

Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. MyMathLab, a complete online course, will be available with this text. For the first time, a comprehensive series of lectures on video will be available.

Table of Contents

Polynomials
Factoring
Rational Expressions
Equations
Inequalities
Exponents
Radicals
Linear Functions
Slopes and Equations of Lines
Linear Functions and Applications
The Least Squares Line
Nonlinear Functions
Properties of Functions
Quadratic Functions
Translation and Reflection
Polynomial and Rational Functions
Exponential Functions
Logarithmic Functions
Applications
Growth and Decay
Mathematics of Finance
The Derivative
Limits
Continuity
Rates of Change
Definition of the Derivative
Graphical Differentiation
Calculating the Derivative
Techniques for Finding Derivatives
Derivatives of Products and Quotients
The Chain Rule
Derivatives of Exponential Functions
Derivatives of Logarithmic Functions
Graphs and the Derivative
Increasing and Decreasing Functions
Relative Extrema
Higher Derivatives, Concavity, and the Second Derivative Test
Curve Sketching
Applications of the Derivative
Absolute Extrema
Applications of Extrema
Further Business Applications: Economic Lot Size, Economic Order Quantity
Elasticity of Demand
Implicit Differentiation
Related Rates
Differentials: Linear Approximation
Integration
Antiderivatives
Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
The Area Between Two Curves
Numerical Integration
Further Techniques and Applications of Integration
Integration by Parts
Volume and Average Value
Continuous Money Flow
Improper Integrals
Multivariable Calculus
Functions of Several Variables
Partial Derivatives
Maxima and Minima
Lagrange Multipliers
Total Differentials and Approximations
Double Integrals
Differential Equations
Solutions of Elementary and Separable Differential Equations
Linear First-Order Differential Equations
Euler's Method
Applications of Differential Equations
Probability and Calculus
Continuous Probability Models
Expected Value and Variance of Continuous Random Variables
Special Probability Density Functions
Sequences and Series
Geometric Sequences
Annuities: An Application of Sequences
Taylor Polynomials at 0
Infinite Series
Taylor Series
Newton's Method
L'Hôpital's Rule
The Trigonometric Functions
Definitions of the Trigonometric Functions
Derivatives of Trigonometric Functions
Integrals of Trigonometric Functions
Tables
Table
Formulas from Geometry
Table
Area Under a Normal Curve
Table
Integrals
Table
Integrals Involving Trigonometric Functions
Table of Contents provided by Publisher. All Rights Reserved.

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