9780534465032

Applied Calculus for the Managerial, Life, and Social Sciences (with InfoTrac)

by
  • ISBN13:

    9780534465032

  • ISBN10:

    053446503X

  • Edition: 6th
  • Format: Hardcover
  • Copyright: 2004-03-05
  • Publisher: Brooks Cole
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Summary

In APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accessible yet accurate presentation of mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Sixth Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements provides students with extensive learning support so instructors will have more time to focus on teaching core concepts.

Table of Contents

Preface ix
CHAPTER 1 Preliminaries 2(47)
1.1 Precalculus Review I
3(9)
1.2 Precalculus Review II
12(12)
1.3 The Cartesian Coordinate System
24(8)
1.4 Straight Lines
32(15)
Chapter 1 Summary of Principal Formulas and Terms
47(1)
Chapter 1 Review Exercises
47(2)
CHAPTER 2 Functions, Limits, and the Derivative 49(111)
2.1 Functions and Their Graphs
50(19)
Using Technology: Graphing a Function
64(5)
2.2 The Algebra of Functions
69(5)
PORTFOLIO: Michael Marchlik
74(86)
2.3 Functions and Mathematical Models
78(19)
Using Technology: Finding the Points of Intersection of Two Graphs and Modeling
92(5)
2.4 Limits
97(21)
Using Technology: Finding the Limit of a Function
114(4)
2.5 One-Sided Limits and Continuity
118(18)
Using Technology: Finding the Points of Discontinuity of a Function
132(4)
2.6 The Derivative
136(25)
Using Technology: Graphing a Function and Its Tangent Line
152(5)
Chapter 2 Summary of Principal Formulas and Terms
157(1)
Chapter 2 Review Exercises
158(2)
CHAPTER 3 Differentiation 160(90)
3.1 Basic Rules of Differentiation
161(14)
Using Technology: Finding the Rate of Change of a Function
170(5)
3.2 The Product and Quotient Rules
175(13)
Using Technology: The Product and Quotient Rules
184(4)
3.3 The Chain Rule
188(13)
Using Technology: Finding the Derivative of a Composite Function
196(5)
3.4 Marginal Functions in Economics
201(14)
3.5 Higher-Order Derivatives
215(9)
Using Technology: Finding the Second Derivative of a Function at a Given Point
222(2)
3.6 Implicit Differentiation and Related Rates
224(10)
3.7 Differentials
234(2)
PORTFOLIO: John Decker
236(96)
Using Technology: Finding the Differential of a Function
242(4)
Chapter 3 Summary of Principal Formula and Terms
246(1)
Chapter 3 Review Exercises
247(3)
CHAPTER 4 Applications of the Derivative 250(82)
4.1 Applications of the First Derivative
251(20)
Using Technology: Using the First Derivative to Analyze a Function
266(5)
4.2 Applications of the Second Derivative
271(17)
Using Technology: Finding the Inflection Points of a Function
284(4)
4.3 Curve Sketching
288(15)
Using Technology: Analyzing the Properties of a Function
300(3)
4.4 Optimization I
303(15)
Using Technology: Finding the Absolute Extrema of a Function
314(4)
4.5 Optimization II
318(11)
Chapter 4 Summary of Principal Terms
329(1)
Chapter 4 Review Exercises
330(2)
CHAPTER 5 Exponential and Logarithmic Functions 332(65)
5.1 Exponential Functions
333(8)
Using Technology
338(3)
5.2 Logarithmic Functions
341(8)
5.3 Compound Interest
349(12)
PORTFOLIO: Misato Nakazaki
361(132)
5.4 Differentiation of Exponential Functions
363(11)
Using Technology
370(4)
5.5 Differentiation of Logarithmic Functions
374(7)
5.6 Exponential Functions as Mathematical Models
381(17)
Using Technology: Analyzing Mathematical Models
390(5)
Chapter 5 Summary of Principal Formulas and Terms
395(1)
Chapter 5 Review Exercises
395(2)
CHAPTER 6 Integration 397(96)
6.1 Antiderivatives and the Rules of Integration
398(14)
6.2 Integration by Substitution
412(10)
6.3 Area and the Definite Integral
422(10)
6.4 The Fundamental Theorem of Calculus
432(10)
Using Technology: Evaluating Definite Integrals
441(1)
6.5 Evaluating Definite Integrals
442(12)
Using Technology: Evaluating Definite Integrals for Piecewise-Defined Functions
450(4)
6.6 Area between Two Curves
454(14)
Using Technology: Finding the Area between Two Curves
464(4)
6.7 Applications of the Definite Integral to Business and Economics
468(14)
Using Technology: Business and Economic Applications/Technology Exercises
481(1)
6.8 Volumes of Solids of Revolution
482(7)
Chapter 6 Summary of Principal Formulas and Terms
489(1)
Chapter 6 Review Exercises
490(3)
CHAPTER 7 Additional Topics in Integration 493(43)
7.1 Integration by Parts
494(7)
7.2 Integration Using Tables of Integrals
501(7)
7.3 Numerical Integration
508(14)
PORTFOLIO: James H. Chesebro. M.D.
522(131)
7.4 Improper Integrals
524(9)
Chapter 7 Summary of Principal Formulas and Terms
533(1)
Chapter 7 Review Exercises
534(2)
CHAPTER 8 Calculus of Several Variables 536(85)
8.1 Functions of Several Variables
537(10)
8.2 Partial Derivatives
547(15)
Using Technology: Finding Partial Derivatives at a Given Point
560(2)
8.3 Maxima and Minima of Functions of Several Variables
562(11)
8.4 The Method of Least Squares
573(12)
Using Technology: Finding an Equation of a Least-Squares Line
580(5)
8.5 Constrained Maxima and Minima and the Method of Lagrange Multipliers
585(11)
8.6 Total Differentials
596(6)
8.7 Double Integrals
602(7)
8.8 Applications of Double Integrals
609(8)
Chapter 8 Summary of Principal Terms
617(1)
Chapter 8 Review Exercises
618(3)
CHAPTER 9 Differential Equations 621(32)
9.1 Differential Equations
622(7)
9.2 Separation of Variables
629(5)
9.3 Applications of Separable Differential Equations
634(10)
9.4 Approximate Solutions of Differential Equations
644(7)
Chapter 9 Summary of Principal Terms
651(1)
Chapter 9 Review Exercises
651(2)
CHAPTER 10 Probability and Calculus 653(44)
10.1 Probability Distributions of Random Variables
654(14)
Using Technology: Graphing a Histogram
664(4)
10.2 Expected Value and Standard Deviation
668(15)
Using Technology: Finding the Mean and Standard Deviation
680(3)
PORTFOLIO: Lilli Meiselman
683(14)
10.3 Normal Distributions
684(11)
Chapter 10 Summary of Principal Formulas and Terms
695(1)
Chapter 10 Review Exercises
695(2)
CHAPTER 11 Taylor Polynomials and Infinite Series 697(72)
11.1 Taylor Polynomials
698(12)
11.2 Infinite Sequences
710(8)
11.3 Infinite Series
718(11)
11.4 series with Positive Terms
729(11)
11.5 Power Series and Taylor Series
740(9)
11.6 More on Taylor Series
749(8)
11.7 The Newton-Raphson Method
757(9)
Chapter 11 Summary of Principal Formulas and Terms
766(1)
Chapter 11 Review Exercises
767(2)
CHAPTER 12 Trigonometric Functions 769(42)
12.1 Measurement of Angles
770(6)
12.2 The Trigonometric Functions
776(9)
12.3 Differentiation of Trigonometric Functions
785(14)
Using Technology: Analyzing Trigonometric Functions
796(3)
12.4 Integration of Trigonometric Functions
799(8)
Using Technology: Evaluating Integrals of Trigonometric Functions
804(3)
Chapter 12 Summary of Principal Formulas and Terms
807(1)
Chapter 12 Review Exercises
808(3)
APPENDIX A Inverse Functions 811(6)
A.1 The Inverse of a Function
811(2)
A.2 The Graphs of Inverse Functions
813(1)
A.3 Functions That Have Inverses
813(1)
A.4 Finding the Inverse of a Function
814(3)
APPENDIX B Table 817
The Standard Normal Distribution
817

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