Applied Calculus for the Managerial, Life, and Social Sciences

ISBN-10: 0495559695
ISBN-13: 9780495559696
Edition: 8th 2011
Authors: Soo T. Tan
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Book details

List price: $361.95
Edition: 8th
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 1/14/2010
Binding: Hardcover
Pages: 896
Size: 9.00" wide x 11.25" long x 1.50" tall
Weight: 4.576

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
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
the 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
Additional Topics in Integration
Integration by Parts
Integration Using Tables of Integrals
Numerical Integration
Improper Integrals
Volumes of Solids of Revolution
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 Numbers
Power Series and Taylor Series
More on Taylor Series
Newton's Method
Trigonometric Functions
Measurement of Angles
the Trigonometric Functions
Differentiation of Trigonometric Functions
Integration of Trigonometric Functions
Inverse Functions
The Inverse of a Function
The Graphs of Inverse Functions
Functions that Have Inverses
Finding the Inverse of a Function
Indeterminate Forms and l'H?pital's Rule
Table the Standard Normal Distribution
Answers to Odd-Numbered Exercises
Index

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