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Applied Calculus for the Managerial, Life, and Social Sciences,9780534378431
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Applied Calculus for the Managerial, Life, and Social Sciences

by
Edition:
5th
ISBN13:

9780534378431

ISBN10:
0534378439
Format:
Paperback
Pub. Date:
7/18/2001
Publisher(s):
Brooks Cole
List Price: $118.95

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This is the 5th edition with a publication date of 7/18/2001.
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Summary

In this revision of his best-selling text, Soo Tan builds on the features that have made his texts best-sellers: a problem-solving approach, accurate mathematical development, a concise yet accessible writing style, and a wealth of interesting and appropriate applications. These features are combined with practical pedagogical tools to help students understand and comprehend the material. Tan also now includes innovative use of technology that is optional yet well integrated throughout the book.

Table of Contents

Preliminaries
2(56)
Precalculus Review I
4(10)
Precalculus Review II
14(14)
The Cartesian Coordinate System
28(9)
Straight Lines
37(21)
Summary of Principal Formulas and Terms
55(1)
Review Exercises
56(2)
Functions, Limits, and the Derivative
58(124)
Functions and Their Graphs
60(21)
Using Technology: Graphing a Function
76(5)
The Algebra of Functions
81(9)
Portfolio: Michael Marchlik
86(4)
Functions and Mathematical Models
90(20)
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling
104(6)
Limits
110(25)
Using Technology: Finding the Limit of a Function
130(5)
One-Sided Limits and Continuity
135(20)
Using Technology: Finding the Points of Discontinuity of a Function
150(5)
The Derivative
155(27)
Using Technology: Graphing a Function and Its Tangent Lines
176(3)
Summary of Principal Formulas and Terms
179(1)
Review Exercises
179(3)
Differentiation
182(94)
Basic Rules of Differentiation
184(14)
Using Technology: Finding the Rate of Change of a Function
192(6)
The Product and Quotient Rules
198(13)
Using Technology: The Product and Quotient Rules
208(3)
The Chain Rule
211(13)
Using Technology: Finding the Derivative of a Composite Function
218(6)
Marginal Functions in Economics
224(16)
Higher-Order Derivatives
240(9)
Using Technology: Finding the Second Derivative of a Function at a Given Point
246(3)
Implicit Differentiation and Related Rates
249(12)
Differentials
261(15)
Portfolio: John Decker
262(8)
Using Technology: Finding the Differential of a Function
270(3)
Summary of Principal Formulas and Terms
273(1)
Review Exercises
274(2)
Applications of the Derivative
276(96)
Applications of the First Derivative
278(23)
Using Technology: Using the First Derivative to Analyze a Function
296(5)
Applications of the Second Derivative
301(20)
Using Technology: Finding the Inflection Points of a Function
318(3)
Curve Sketching
321(20)
Using Technology: Analyzing the Properties of a Function
334(7)
Optimization I
341(16)
Using Technology: Finding the Absolute Extrema of a Function
354(3)
Optimization II
357(15)
Summary of Principal Terms
369(1)
Review Exercises
369(3)
Exponential and Logarithmic Functions
372(66)
Exponential Functions
374(9)
Using Technology
380(3)
Logarithmic Functions
383(8)
Compound Interest
391(14)
Portfolio: Misato Nakazaki
403(2)
Differentiation of Exponential Functions
405(12)
Using Technology
414(3)
Differentiation of Logarithmic Functions
417(8)
Exponential Functions as Mathematical Models
425(13)
Summary of Principal Formulas and Terms
436(1)
Review Exercises
437(1)
Integration
438(110)
Antiderivatives and the Rules of Integration
440(15)
Integration by Substitution
455(11)
Area and the Definite Integral
466(11)
The Fundamental Theorem of Calculus
477(14)
Using Technology: Evaluating Definite Integrals
488(3)
Evaluating Definite Integrals
491(12)
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions
500(3)
Area Between Two Curves
503(16)
Using Technology: Finding the Area Between Two Curves
516(3)
Applications of the Definite Integral to Business and Economics
519(16)
Using Technology: Consumers' Surplus and Producers' Surplus
533(2)
Volumes of Solids of Revolution
535(13)
Summary of Principal Formulas and Terms
543(1)
Review Exercises
544(4)
Additional Topics in Integration
548(48)
Integration by Parts
550(7)
Integration Using Tables of Integrals
557(8)
Numerical Integration
565(17)
Portfolio: James H. Chesebro
580(2)
Improper Integrals
582(14)
Summary of Principal Formulas and Terms
593(1)
Review Exercises
594(2)
Calculus of Several Variables
596(94)
Functions of Several Variables
598(10)
Partial Derivatives
608(18)
Using Technology: Finding Partial Derivatives at a Given Point
622(4)
Maxima and Minima of Functions of Several Variables
626(11)
The Method of Least Squares
637(13)
Using Technology: Finding an Equation of a Least-Squares Line
646(4)
Constrained Maxima and Minima and the Method of Lagrange Multipliers
650(13)
Total Differentials
663(6)
Double Integrals
669(8)
Applications of Double Integrals
677(13)
Summary of Principal Terms
687(1)
Review Exercises
687(3)
Differential Equations
690(36)
Differential Equations
692(7)
Separation of Variables
699(7)
Applications of Separable Differential Equations
706(10)
Approximate Solutions of Differential Equations
716(10)
Summary of Principal Terms
724(1)
Review Exercises
724(2)
Probability and Calculus
726(46)
Probability Distributions of Random Variables
728(11)
Using Technology: Graphing a Histogram
736(3)
Expected Value and Standard Deviation
739(17)
Using Technology: Finding the Mean and Standard Deviation
754(2)
Normal Distributions
756(16)
Summary of Principal Formulas and Terms
769(1)
Review Exercises
770(2)
Taylor Polynomials and Infinite Series
772(80)
Taylor Polynomials
774(13)
Infinite Sequences
787(9)
Infinite Series
796(12)
Series with Positive Terms
808(11)
Power Series and Taylor Series
819(10)
More on Taylor Series
829(10)
The Newton--Raphson Method
839(13)
Summary of Principal Formulas and Terms
849(1)
Review Exercises
850(2)
Trigonometric Functions
852(47)
Measurement of Angles
854(6)
The Trigonometric Functions
860(11)
Differentiation of Trigonometric Functions
871(16)
Using Technology: Analyzing Trigonometric Functions
884(3)
Integration of Trigonometric Functions
887(12)
Using Technology: Evaluating Integrals of Trigonometric Functions
892(4)
Summary of Principal Formulas and Terms
896(1)
Review Exercises
897(2)
Table 899(4)
The Standard Normal Distribution
900(3)
Answers to Odd-Numbered Exercises 903(42)
Index 945


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