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Applied Calculus for the Managerial, Life, and Social Sciences

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ISBN-10: 0534465072

ISBN-13: 9780534465070

Edition: 6th 2005

Authors: S. T. Tan

List price: $115.95
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The Student Solutions Manual provides worked out solutions to the odd-numbered problems in the text.
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Book details

List price: $115.95
Edition: 6th
Copyright year: 2005
Publisher: Brooks/Cole
Publication date: 5/6/2004
Binding: Paperback
Pages: 448
Size: 7.50" wide x 9.00" long x 1.00" tall
Weight: 1.540
Language: English

Preliminaries
Precalculus Review I
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 I
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