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Calculus: For Business, Economics, Life Sciences, and Social Sciences

ISBN: 9780130797650 | 0130797650
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 9/1/1998

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SummaryTable of Contents
This best-selling Calculus for non-math and engineering majors in the two-year/four-year market is out in a new revision. This edition contains more real data applications and integration of optional graphing calculator providing students and instructors a strong foundation for the course. Full website featuring Excel projects/tutorials accompanies text.
Prefaceix
PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS1(126)
Chapter 1 A Beginning Library of Elementary Functions
3(74)
1-1 Function... MORE
3(20)
1-2 Elementary Functions: Graphs and Transformations
23(13)
1-3 Linear Functions and Straight Lines
36(16)
1-4 Quadratic Functions
52(15)
Important Terms and Symbols
67(1)
Review Exercise
68(4)
Group Activity 1: Introduction to Regression Analysis
72(2)
Group Activity 2: Mathematical Modeling in Business
74(3)
Chapter 2 Additional Elementary Functions
77(50)
2-1 Polynomial and Rational Functions
77(16)
2-2 Exponential Functions
93(14)
2-3 Logarithmic Functions
107(13)
Important Terms and Symbols
120(1)
Review Exercise
120(3)
Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions
123(1)
Group Activity 2: Comparing Regression Models
124(3)
PART TWO CALCULUS127
Chapter 3 The Derivative
129(92)
3-1 Rate of Change and Slope
130(13)
3-2 Limits
143(17)
3-3 The Derivative
160(13)
3-4 Derivatives of Constants, Power Forms, and Sums
173(13)
3-5 Derivatives of Products and Quotients
186(8)
3-6 Chain Rule: Power Form
194(8)
3-7 Marginal Analysis in Business and Economics
202(11)
Important Terms and Symbols
213(1)
Summary of Rules of Differentiation
214(1)
Review Exercise
214(5)
Group Activity 1: Minimal Average Cost
219(1)
Group Activity 2: Numerical Differentiation on a Graphing Utility
220(1)
Chapter 4 Graphing and Optimization
221(90)
4-1 Continuity and Graphs
222(16)
4-2 First Derivative and Graphs
238(17)
4-3 Second Derivative and Graphs
255(16)
4-4 Curve Sketching Techniques: Unified and Extended
271(16)
4-5 Optimization: Absolute Maxima and Minima
287(16)
Important Terms and Symbols
303(1)
Review Exercise
304(4)
Group Activity 1: Maximizing Profit
308(1)
Group Activity 2: Minimizing Construction Costs
308(3)
Chapter 5 Additional Derivative Topics
311(50)
5-1 The Constant Epsilon and Continuous Compound Interest
311(8)
5-2 Derivatives of Logarithmic and Exponential Functions
319(12)
5-3 Chain Rule: General Form
331(12)
5-4 Implicit Differentiation
343(7)
5-5 Related Rates
350(6)
Important Terms and Symbols
356(1)
Additional Rules of Differentiation
356(1)
Review Exercise
357(2)
Group Activity 1: Elasticity of Demand
359(1)
Group Activity 2: Point of Diminishing Returns
360(1)
Chapter 6 Integration
361(84)
6-1 Antiderivatives and Indefinite Integrals
361(15)
6-2 Integration by Substitution
376(12)
6-3 Differential Equations-Growth and Decay
388(12)
6-4 A Geometric-Numeric Introduction to the Definite Integral
400(16)
6-5 Definite Integral as a Limit of a Sum: Fundamental Theorem of Calculus
416(19)
Important Terms and Symbols
435(1)
Integration Formulas and Properties
435(1)
Review Exercise
435(5)
Group Activity 1: Simpson's Rule
440(3)
Group Activity 2: Bell-Shaped Curves
443(2)
Chapter 7 Additional Integration Topics
445(46)
7-1 Area between Curves
445(12)
7-2 Applications in Business and Economics
457(13)
7-3 Integration by Parts
470(7)
7-4 Integration Using Tables
477(8)
Important Terms and Symbols
485(1)
Review Exercise
485(2)
Group Activity 1: Analysis of Income Concentration from Raw Data
487(2)
Group Activity 2: Grain Exchange
489(2)
Chapter 8 Multivariable Calculus
491(68)
8-1 Functions of Several Variables
491(10)
8-2 Partial Derivatives
501(10)
8-3 Maxima and Minima
511(9)
8-4 Maxima and Minima Using Lagrange Multipliers
520(10)
8-5 Method of Least Squares
530(11)
8-6 Double Integrals Over Rectangular Regions
541(11)
Important Terms and Symbols
552(1)
Review Exercise
552(3)
Group Activity 1: City Planning
555(1)
Group Activity 2: Numerical Integration of Multivariable Functions
556(3)
Chapter 9 Trigonometric Functions
559(26)
9-1 Trigonometric Functions Review
560(9)
9-2 Derivatives of Trigonometric Functions
569(6)
9-3 Integration of Trigonometric Functions
575(5)
Important Terms and Symbols
580(1)
Review Exercise
581(1)
Group Activity 1: Seasonal Business Cycles
582(1)
Group Activity 2: Heating Degree Days
583(2)
Appendix A Basic Algebra Review
585(68)
Self-Test on Basic Algebra585(2)
A-1 Sets
587(6)
A-2 Algebra and Real Numbers
593(7)
A-3 Operations on Polynomials
600(7)
A-4 Factoring Polynomials
607(6)
A-5 Operations on Rational Expressions
613(7)
A-6 Integer Exponents and Scientific Notation
620(6)
A-7 Rational Exponents and Radicals
626(7)
A-8 Linear Equations and Inequalities in One Variable
633(10)
A-9 Quadratic Equations
643(10)
Appendix B Special Topics
653(18)
B-1 Sequences, Series, and Summation Notation
653(6)
B-2 Arithmetic and Geometric Sequences
659(8)
B-3 The Binomial Theorem
667(4)
Appendix C Tables
671
Table I Basic Geometric Formulas
671(2)
Table II Integration Formulas
673
AnswersA-1
IndexI-1
Library of Elementary FunctionsInside front cover
Applications IndexInside back cover

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