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Mathematical Applications the Management, Life, and Social Sciences,9780618293582
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Mathematical Applications the Management, Life, and Social Sciences

by Unknown
Edition:
7th
ISBN13:

9780618293582

ISBN10:
0618293582
Format:
Paperback
Pub. Date:
3/10/2003
Publisher(s):
Brooks Cole
List Price: $147.66

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This is the 7th edition with a publication date of 3/10/2003.
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Table of Contents

Preface xiii
Algebraic Concepts
1(59)
Sets
2(8)
The Real Numbers
10(6)
Integral Exponents
16(5)
Radicals and Rational Exponents
21(7)
Operations with Algebraic Expressions
28(10)
Factoring
38(6)
Algebraic Fractions
44(16)
Key Terms and Formulas
52(2)
Review Exercises
54(3)
Chapter Test
57(1)
Extended Applications & Group Projects: Campaign Management Pricing for Maximum Profit
58(2)
Linear Equations and Functions
60(85)
Warm-up
61(1)
Solution of Linear Equations in One Variable
62(10)
Functions
72(15)
Linear Functions
87(13)
Graphs and Graphing Utilities
100(12)
Graphical Solution of Linear Equations
Solutions of Systems of Linear Equations
112(12)
Three Equations in Three Variables
Applications of Functions in Business and Economics
124(21)
Total Cost, Total Revenue, and Profit
Break-Even Analysis
Supply, Demand, and Market Equilibrium
Key Terms and Formulas
136(1)
Review Exercises
137(4)
Chapter Test
141(2)
Extended Applications & Group Projects: Hospital Administration Fundraising
143(2)
Special Functions
145(68)
Warm-up
146(1)
Quadratic Equations
147(11)
Factoring Methods
The Quadratic Formula
Quadratic Functions: Parabolas
158(10)
Business Applications of Quadratic Functions
168(9)
Supply, Demand, and Market Equilibrium
Break-Even Points and Maximization
Special Functions and Their Graphs
177(13)
Polynomial and Rational Functions
Piecewise Defined Functions
Modeling; Fitting Curves to Data with Graphing Utilities (optional)
190(23)
Key Terms and Formulas
202(1)
Review Exercises
203(4)
Chapter Test
207(3)
Extended Applications & Group Projects: International Email Usage Operating Leverage and Business Risk
210(3)
Matrices
213(85)
Warm-up
214(1)
Matrices
215(13)
Multiplication of Matrices
228(15)
Gauss-Jordan Elimination: Solving Systems of Equations
243(17)
Systems with Unique Solutions
Systems with Nonunique Solutions
Inverse of a Square Matrix; Matrix Equations
260(16)
Matrix Equations
Determinants
Applications of Matrices: Leontief Input-Output Models
276(22)
Key Terms and Formulas
289(1)
Review Exercises
290(3)
Chapter Test
293(3)
Extended Applications & Group Projects: Taxation Company Profits After Bonuses and Taxes
296(2)
Inequalities and Linear Programming
298(79)
Warm-up
299(1)
Linear Inequalities in One Variable
300(6)
Linear Inequalities in Two Variables
306(10)
Linear Programming: Graphical Methods
316(13)
The Simplex Method: Maximization
329(19)
Nonunique Solutions: Multiple Solutions and No Solution
The Simplex Method: Duality and Minimization
348(11)
The Simplex Method with Mixed Constraints
359(18)
Key Terms
369(1)
Review Exercises
370(3)
Chapter Test
373(2)
Extended Applications & Group Projects: Transportation Manufacturing
375(2)
Exponential and Logarithmic Functions
377(49)
Warm-up
378(1)
Exponential Functions
379(12)
Modeling Exponential Functions
Logarithmic Functions and Their Properties
391(13)
Logarithmic Functions and Graphs
Properties of Logarithms
Change of Base
Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions
404(22)
Growth and Decay
Economic and Management Applications
Key Terms and Formulas
418(1)
Review Exercises
419(2)
Chapter Test
421(2)
Extended Applications & Group Projects: Agricultural Business Management National Debt
423(3)
Mathematics of Finance
426(65)
Warm-up
427(1)
Simple Interest; Sequences
428(8)
Simple Interest
Sequences
Arithmetic Sequences
Compound Interest; Geometric Sequences
436(16)
Compound Interest
Geometric Sequences
Future Value of Annuities
452(11)
Ordinary Annuities
Sinking Funds
Annuities Due
Present Value of Annuities
463(11)
Ordinary Annuities
Annuities Due
Deferred Annuities
Loans and Amortization
474(17)
Unpaid Balance of a Loan
Key Terms and Formulas
483(1)
Review Exercises
484(3)
Chapter Test
487(2)
Extended Applications & Group Projects
489(2)
Mail Solicitation Home Equity Loan: Is This a Good Deal? Profit Reinvestment Purchasing a Home
Introduction to Probability
491(72)
Warm-up
492(1)
Probability: Odds
493(11)
Unions and Intersections of Events: One-Trial Experiments
504(9)
Conditional Probability: The Product Rule
513(12)
Probability Trees and Bayes' Formula
525(9)
Probability Trees
Bayes'Formula
Counting: Permutations and Combinations
534(7)
Permutations, Combinations, and Probability
541(6)
Markov Chains
547(16)
Key Terms and Formulas
555(1)
Review Exercises
556(3)
Chapter Test
559(2)
Extended Applications & Group Projects: Phone Numbers Competition in the Telecommunications Industry
561(2)
Further Topics in Probability: Data Description
563(52)
Warm-up
564(1)
Binomial Probability Experiments
565(5)
Data Description
570(14)
Discrete Probability Distributions: Decision Making
584(8)
Measures of Dispersion
The Binomial Distribution
592(6)
Normal Probability Distribution
598(17)
Key Terms and Formulas
607(1)
Review Exercises
608(2)
Chapter Test
610(2)
Extended Applications & Group Projects: Lotteries Statistics in Medical Research; Hypothesis Testing
612(3)
Derivatives
615(118)
Warm-up
616(1)
Limits
617(17)
Continuous Functions: Limits at Infinity
634(14)
Average and Instantaneous Rates of Change: The Derivative
648(17)
Derivative Formulas
665(14)
The Product Rule and the Quotient Rule
679(9)
The Chain Rule and the Power Rule
688(9)
Using Derivative Formulas
697(6)
Higher-Order Derivatives
703(8)
Applications of Derivatives in Business and Economics
711(22)
Key Terms and Formulas
722(1)
Review Exercises
723(5)
Chapter Test
728(2)
Extended Applications & Group Projects: Marginal Return to Sales Tangent Lines and Optimization in Business and Economics
730(3)
Applications of Derivatives
733(77)
Warm-up
734(1)
Relative Maxima and Minima: Curve Sketching
735(17)
Concavity: Points of Inflection
752(14)
Optimization in Business and Economics
766(13)
Maximizing Revenue
Minimizing Average Cost
Maximizing Profit
Applications of Maxima and Minima
779(9)
Asymptotes: More Curve Sketching
788(22)
Asymptotes
More Curve Sketching
Key Terms and Formulas
801(1)
Review Exercises
802(4)
Chapter Test
806(2)
Extended Applications & Group Exercises: Production Management Room Pricing in the Off Season
808(2)
Derivatives Continued
810(54)
Warm-up
811(1)
Derivatives of Logarithmic Functions
812(9)
Derivatives of Exponential Functions
821(9)
Implicit Differentiation
830(11)
Related Rates
841(7)
Applications in Business and Economics
848(16)
Elasticity of Demand
Taxation in a Competitive Market
Key Terms and Formulas
857(1)
Review Exercises
858(2)
Chapter Test
860(2)
Extended Applications & Group Projects: Inflation Knowledge Workers
862(2)
Indefinite Integrals
864(57)
Warm-up
865(1)
The Indefinite Integral
866(8)
The Power Rule
874(12)
Integrals Involving Exponential and Logarithmic Functions
886(9)
Applications of the Indefinite Integral in Business and Economics
895(9)
Total Cost and Profit
National Consumption and Savings
Differential Equations
904(17)
Solution of Differential Equations
Separable Differential Equations
Applications of Differential Equations
Key Terms and Formulas
915(1)
Review Exercises
916(2)
Chapter Test
918(1)
Extended Applications & Group Projects: Employee Production Rate Supply and Demand
919(2)
Definite Integrals: Techniques of Integration
921(86)
Warm-up
922(1)
Area Under a Curve
923(10)
The Definite Integral: The Fundamental Theorem of Calculus
933(12)
Area Between Two Curves
945(11)
Applications of Definite Integrals in Business and Economics
956(12)
Continuous Income Streams
Consumer's Surplus
Producer's Surplus
Using Tables of Integrals
968(6)
Integration by Parts
974(6)
Improper Integrals and Their Applications
980(9)
Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule
989(18)
Key Terms and Formulas
999(2)
Review Exercises
1001(2)
Chapter Test
1003(2)
Extended Applications & Group Projects: Retirement Planning Purchasing Electrical Power
1005(2)
Functions of Two or More Variables
1007
Warm-up
1008(1)
Functions of Two or More Variables
1009(7)
Partial Differentiation
1016(11)
First-Order Partial Derivatives
Higher-Order Partial Derivatives
Applications of Functions of Two Variables in Business and Economics
1027(8)
Joint Cost and Marginal Cost
Production Functions
Demand Functions
Maxima and Minima
1035(11)
Linear Regression
Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers
1046
Key Terms and Formulas
1055(1)
Review Exercises
1056(2)
Chapter Test
1058(2)
Extended Applications & Group Projects: Advertising Competitive Pricing
1060
Appendix
1(1)
Table I: Future Value of Ordinary Annuity of $1 (sni)
1(2)
Table II: Present Value of an Ordinary Annuity of $1 (ani)
3(2)
Table III: Areas Under the Standard Normal Curve
5
Answers 1(1)
Index 1(6)
Credits 7


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