Applied Calculus for the Managerial, Life, and Social Sciences A Brief Approach

ISBN-10: 0538498900

ISBN-13: 9780538498906

Edition: 9th 2012

Authors: Soo T. Tan

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Book details

List price: $293.95
Edition: 9th
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/1/2011
Binding: Hardcover
Pages: 688
Size: 8.50" wide x 11.00" long x 1.00" tall
Weight: 3.696
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."

Preface
Preliminaries
Precalculus Review
PrecalculusReview II
The Cartesian Coordinate System
Straight Lines
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Functions, Limits, And The Derivative
Functions and Their Graphs
The Algebra of Functions
Functions and Mathematical Models
Portfolio
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling
Limits
Using Technology: Finding the Limit of a Function
One-Sided Limits and Continuity
Using Technology: Finding the Points of Discontinuity of a Function
The Derivative
Using Technology: Graphing a Function and Its Tangent Line
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Differentiation
Basic Rules of Differentiation
Using Technology: Finding the Rate of Change of a Function
The Product and Quotient Rules
Using Technology: The Product and Quotient Rules
The Chain Rule
Using Technology: Finding the Derivative of a Composite Function
Marginal Functions in Economics
Higher-Order Derivatives
Using Technology: Finding the Second Derivative of a Function at a Given Point
Implicit Differentiation and Related Rates
Differentials
Using Technology: Finding the Differential of a Function
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Applications Of The Derivative
Applications of the First Derivative
Using Technology: Using the First Derivative to Analyze a Function
Applications of the Second Derivative
Using Technology: Finding the Inflection Points of a Function
Curve Sketching
Using Technology: Analyzing the Properties of a Optimization
UsingTechnology: Finding the Absolute Extrema of a Function
Optimization II
Summary of Principal Terms
Concept Review Questions
Review Exercises
Before Moving On
Exponential And Logarithmic Functions
Exponential Functions
Using Technology
Logarithmic Functions
Compound IntereSt. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment
Differentiation of Exponential Functions
Using Technology
Differentiation of Logarithmic Functions
Exponential Functions as Mathematical Models
Portfolio
Using Technology: Analyzing Mathematical Models
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Integration
Antiderivatives and the Rules of Integration
Integration by Substitution
Area and the Definite Integral
The Fundamental Theorem of Calculus
Portfolio
Using Technology: Evaluating Definite Integrals
Evaluating Definite Integrals
Using Technology: Evaluating Integrals for Piecewise-Defined Functions
Area between Two Curves
Using Technology: Finding the Area between Two Curves
Applications of the Definite Integral to Business and Economics
Using Technology: Business and Economic Applications/Technology Exercises
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Additional Topics In Integration
Integration by Parts
Integration Using Tables of Integrals
Numerical Integration
Improper Integrals
Applications of Calculus to Probability
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
Calculus Of Several Variables
Functions of Several Variables
Partial Derivatives
Portfolio
Using Technology: Finding Partial Derivatives at a Given Point
Maxima and Minima of Functions of Several Variables
The Method of Least Squares
Using Technology: Finding an Equation of Least-Squares Line
Constrained Maxima and Minima and the Method of Lagrange Multipliers
Double Integrals
Summary of Principal Formulas and Terms
Concept Review Questions
Review Exercises
Before Moving On
The Inverse of a Function
The Graphs of Inverse Functions
Functions That Have Inverses
Finding the Inverse of a Function
Indeterminant Forms and l'H?pital's Rule
The Indeterminant Forms 0/0 and 8/8
Index
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