Mathematical Applications the Management, Life, and Social Sciences

by Unknown

• ISBN13: 9780618293582
• ISBN10: 0618293582
• Edition: 7th
• Format: Paperback
• Copyright: 2003-03-10
• Publisher: Brooks Cole

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