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Calculus for Business, Economics, Life Sciences, and Social Sciences

ISBN: 9780130920539 | 0130920533
Edition: 9th
Format: Hardcover
Publisher: PRENTICE HALL
Pub. Date: 1/1/2002

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SummaryTable of Contents
This book covers calculus with an emphasis on cross-discipline principles and practices. Designed to be both reader-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Each chapter concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving. Two-part coverage presents a library of elementary functions and calculus. For individuals looking for a view of mathematical ideas and processe... MORE
Prefacexiii
Part One A Library of Elementary Functions1(128)
A Beginning Library of Elementary Functions
3(76)
Functions
... MORE
3(20)
Elementary Functions: Graphs and Transformations
23(13)
Linear Functions and Straight Lines
36(17)
Quadratic Functions
53(26)
Important Terms and Symbols
68(1)
Review Exercise
69(5)
Group Activity 1: Introduction to Regression Analysis
74(1)
Group Activity 2: Mathematical Modeling in Business
75(4)
Additional Elementary Functions
79(50)
Polynomial and Rational Functions
79(17)
Exponential Functions
96(14)
Logarithmic Functions
110(19)
Important Terms and Symbols
122(1)
Review Exercise
122(3)
Group Activity 1: Comparing the Growth of Exponental and Polynomial Functions, and Logarithmic and Root Functions
125(1)
Group Activity 2: Comparing Regression Models
125(4)
Part Two Calculus129(452)
The Derivative
131(94)
Rate of Change and Slope
132(12)
Limits
144(18)
The Derivative
162(13)
Derivatives of Constants, Power Forms, and Sums
175(14)
Derivatives of Products and Quotients
189(8)
Chain Rule: Power Form
197(7)
Marginal Analysis in Business and Economics
204(21)
Important Terms and Symbols
216(1)
Summary of Rules of Differentiation
216(1)
Review Exercise
217(4)
Group Activity 1: Minimal Average Cost
221(1)
Group Activity 2: Numerical Differentiation on a Graphing Utility
222(3)
Graphing and Optimization
225(90)
Continuity and Graphs
226(16)
First Derivative and Graphs
242(17)
Second Derivative and Graphs
259(16)
Curve Sketching Techniques: Unified and Extended
275(17)
Optimization: Absolute Maxima and Minima
292(23)
Important Terms and Symbols
308(1)
Review Exercise
309(4)
Group Activity 1: Maximizing Profit
313(1)
Group Activity 2: Minimizing Construction Costs
313(2)
Additional Derivative Topics
315(48)
The Constant e and Continuous Compound Interest
315(7)
Derivatives of Logarithmic and Exponential Functions
322(12)
Chain Rule: General Form
334(11)
Implicit Differentiation
345(7)
Related Rates
352(11)
Important Terms and Symbols
358(1)
Additional Rules of Differentiation
358(1)
Review Exercise
358(2)
Group Activity 1: Elasticity of Demand
360(1)
Group Activity 2: Point of Diminishing Returns
361(2)
Integration
363(82)
Antiderivatives and Indefinite Integrals
363(15)
Integration by Substitution
378(12)
Differential Equations; Growth and Decay
390(11)
Geometric--Numeric Introduction to the Definite Integral
401(16)
Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus
417(28)
Important Terms and Symbols
435(1)
Integration Formulas and Properties
436(1)
Review Exercise
436(4)
Group Activity 1: Simpson's Rule
440(3)
Group Activity 2: Bell-Shaped Curves
443(2)
Additional Integration Topics
445(44)
Area Between Curves
445(11)
Applications in Business and Economics
456(13)
Integration by Parts
469(8)
Integration Using Tables
477(12)
Important Terms and Symbols
484(1)
Review Exercise
485(2)
Group Activity 1: Analysis of Income Concentration from Raw Data
487(1)
Group Activity 2: Grain Exchange
488(1)
Multivariable Calculus
489(68)
Functions of Several Variables
489(11)
Partial Derivatives
500(9)
Maxima and Minima
509(9)
Maxima and Minima Using Lagrange Multipliers
518(10)
Method of Least Squares
528(11)
Double Integrals over Rectangular Regions
539(18)
Important Terms and Symbols
549(1)
Review Exercise
550(3)
Group Activity 1: City Planning
553(1)
Group Activity 2: Numerical Integration of Multivariable Functions
554(3)
Trigonometric Functions
557(24)
Trigonometric Functions Review
558(8)
Derivatives of Trigonometric Functions
566(6)
Integration of Trigonometric Functions
572(9)
Important Terms and Symbols
577(1)
Review Exercise
578(1)
Group Activity 1: Seasonal Business Cycles
579(1)
Group Activity 2: Heating Degree Days
580(1)
APPENDIX A Basic Algebra Review581(68)
Self-Test on Basic Algebra
581(2)
A-1 Sets
583(6)
A-2 Algebra and Real Numbers
589(7)
A-3 Operations on Polynomials
596(7)
A-4 Factoring Polynomials
603(6)
A-5 Operations on Rational Expressions
609(6)
A-6 Integer Exponents and Scientific Notation
615(6)
A-7 Rational Exponents and Radicals
621(7)
A-8 Linear Equations and Inequalities in One Variable
628(10)
A-9 Quadratic Equations
638(11)
APPENDIX B Special Topics649(20)
B-1 Sequences, Series, and Summation Notation
649(7)
B-2 Arithmetic and Geometric Sequences
656(8)
B-3 The Binomial Theorem
664(5)
APPENDIX C Tables669(1)
Table I Basic Geometric Formulas
669(2)
Table II Integration Formulas
671
AnswersA1
IndexI1

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