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Applied Calculus for the Managerial, Life, and Social Sciences

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ISBN-10: 0495119369

ISBN-13: 9780495119364

Edition: 7th 2007

Authors: Soo T. Tan

List price: $104.95
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Description:

Check your work and reinforce your understanding with this manual, which contains complete solutions for all odd-numbered exercises in the text. You will also find problem-solving strategies plus additional algebra steps and review for selected problems.
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Book details

List price: $104.95
Edition: 7th
Copyright year: 2007
Publisher: Brooks/Cole
Publication date: 1/23/2007
Binding: Paperback
Pages: 528
Size: 7.50" wide x 9.25" long x 1.00" tall
Weight: 1.584
Language: English

Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

Preliminaries
Precalculus Review I
Precalculus Review II
The Cartesian Coordinate System
Straight Lines
Review Exercises
Functions, Limits, and the Derivative
Functions and Their Graphs
The Algebra of Functions
Functions and Mathematical Models
Limits
One-Sided Limits and Continuity
The Derivative
Review Exercises
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
Review Exercises
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization I
Optimization II
Review Exercises
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Compound Interest
Differentiation of Exponential Functions
Differentiation of Logarithmic Functions
Exponential Functions as Mathematical Models
Review Exercises
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
Review Exercises
Additional Topics in Integration
Integration by Parts
Integration Using Tables of Integrals
Numerical Integration
Improper Integrals
Review Exercises
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
Review Exercises
Differential Equations
Differential Equations
Separation of Variables
Applications of Separable Differential Equations
Approximate Solutions of Differential Equations
Review Exercises
Probability and Calculus
Probability Distributions of Random Variables
Expected Value and Standard Deviation
Normal Distributions
Review Exercises
Taylor Polynomials and Infinite Series
Taylor Polynomials
Infinite Sequences
Infinite Series
Series with Positive Terms
Power Series and Taylor Series
More on Taylor Series
Newton's Method
Review Exercises
Trigonometric Functions
Measurement of Angles
The Trigonometric Functions
Differentiation of Trigonometric Functions
Integration of Trigonometric Functions
Review Exercises