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Related Topics: Business & Economics >> Management
Mathematical Applications for Management: Life and Social Sciences,9780395961421
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Mathematical Applications for Management: Life and Social Sciences


Edition: 6th
Author(s): Harshbarger, Ronald J.
ISBN10:  0395961424
ISBN13:  9780395961421
Format:  Hardcover
Pub. Date:  1/1/2000
Publisher(s): Cengage Learning

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Table of Contents
Preface xiii
Algebraic Concepts
1(63)
Sets
2(7)
The Real Numbers
9(7)
Integral Exponents
16(6)
Radicals and Rational Exponents
22(9)
Operations with Algebraic Expressions
31(10)
Factoring
41(6)
Algebraic Fractions
47(17)
Key Terms and Formulas
55(2)
Review Exercises
57(2)
Chapter Test
59(2)
Extended Applications/Group Projects:
61(3)
Linear Equations and Functions
64(82)
Warm-up
64(2)
Solution of Linear Equations in One Variable
66(9)
Functions
75(16)
Linear Functions
91(11)
Graphs and Graphing Utilities
102(9)
Solutions of Systems of Linear Equations
111(12)
Applications of Functions in Business and Economics
123(23)
Key Terms and Formulas
135(2)
Review Exercises
137(4)
Chapter Test
141(2)
Extended Applications/Group Projects:
143(3)
Special Functions
146(66)
Warm-up
146(2)
Quadratic Equations
148(10)
Quadratic Functions; Parabolas
158(9)
Business Applications of Quadratic Functions
167(9)
Special Functions and Their Graphs
176(14)
Modeling; Fitting Curves to Data with Graphing Utilities (optional)
190(22)
Key Terms and Formulas
202(1)
Review Exercises
203(3)
Chapter Test
206(3)
Extended Applications/Group Projects:
209(3)
Matrices
212(84)
Warm-up
212(2)
Matrices
214(13)
Multiplication of Matrices
227(15)
Gauss-Jordan Elimination: Solving Systems of Equations
242(16)
Inverse of a Square Matrix; Matrix Equations
258(14)
Applications of Matrices: Leontief Input-Output Models
272(24)
Key Terms and Formulas
287(1)
Review Exercises
288(3)
Chapter Test
291(2)
Extended Applications/Group Projects:
293(3)
Inequalities and Linear Programming
296(82)
Warm-up
296(2)
Linear Inequalities in One Variable
298(7)
Linear Inequalities in Two Variables
305(9)
Linear Programming: Graphical Methods
314(14)
The Simplex Method: Maximization
328(18)
The Simplex Method: Duality and Minimization
346(10)
The Simplex Method with Mixed Constraints
356(22)
Key Terms and Formulas
367(1)
Review Exercises
367(3)
Chapter Test
370(2)
Extended Applications/Group Projects:
372(6)
Exponential and Logarithmic Functions
378(50)
Warm-up
378(2)
Exponential Functions
380(13)
Logarithmic Functions and Their Properties
393(14)
Solution of Exponential Equatios; Applications of Exponential and Logarithmic Functions
407(21)
Key Terms and Formulas
419(1)
Review Exercises
419(3)
Chapter Test
422(3)
Extended Applications/Group Projects
425(3)
Mathematics of Finance
428(68)
Warm-up
428(2)
Simple Interest; Sequences
430(9)
Compound Interest; Geometric Sequences
439(17)
Future Value of Annuities
456(11)
Present Value of Annuities
467(11)
Loans and Amortization
478(18)
Key Terms and Formulas
487(1)
Review Exercises
488(3)
Chapter Test
491(2)
Extended Applications/Group Projects
493(3)
Introduction to Probability
496(74)
Warm-up
496(2)
Probability; Odds
498(11)
Unions and Intersections of Events; One-Trial Experiments
509(9)
Conditional Probability; The Product Rule
518(12)
Probability Trees and Bayes' Formula
530(11)
Counting; Permutations and Combinations
541(6)
Permutations, Combinations, and Probability
547(7)
Markov Chains
554(16)
Key Terms and Formulas
562(1)
Review Exercises
563(2)
Chapter Test
565(2)
Extended Applications/Group Projects
567(3)
Further Topics in Probability; Statistics
570(52)
Warm-up
570(2)
Binomial Probability Experiments
572(5)
Discrete Probability Distributions; Decision Making
577(8)
The Binomial Distribution
585(6)
Descriptive Statistics
591(13)
Normal Probability Distribution
604(18)
Key Terms and Formulas
613(1)
Review Exercises
614(2)
Chapter Test
616(3)
Extended Applications/Group Projects
619(3)
Derivatives
622(110)
Warm-up
622(2)
Limits
624(18)
Continuous Functions; Limits at Infinity
642(14)
The Derivative; Rates of Change; Tangent to a Curve
656(15)
Derivative Formulas
671(13)
Product and Quotient Rules
684(9)
The Chain Rule and Power Rule
693(9)
Using Derivative Formulas
702(6)
Higher-Order Derivatives
708(8)
Applications of Derivatives in Business and Economics
716(16)
Key Terms and Formulas
724(1)
Review Exercises
725(3)
Chapter Test
728(1)
Extended Applications/Group Projects
729(3)
Applications of Derivatives
732(78)
Warm-up
732(2)
Relative Maxima and Minima; Curve Sketching
734(17)
Concavity; Points of Inflection
751(14)
Optimization in Business and Economics
765(13)
Applications of Maxima and Minima
778(10)
Asymptotes; More Curve Sketching
788(22)
Key Terms and Formulas
801(1)
Review Exercises
801(4)
Chapter Test
805(2)
Extended Applications/Group Projects
807(3)
Derivatives Continued
810(52)
Warm-up
810(2)
Derivatives of Logarithmic Functions
812(8)
Derivatives of Exponential Functions
820(8)
Implicit Differentiation
828(10)
Related Rates
838(7)
Applications in Business and Economics
845(17)
Key Terms and Formulas
855(1)
Review Exercises
856(2)
Chapter Test
858(1)
Extended Applications/Group Projects
859(3)
Indefinite Integrals
862(58)
Warm-up
862(2)
The Indefinite Integral
864(9)
The Power Rule
873(10)
Integrals Involving Logarithmic and Exponential Functions
883(10)
Applications of the Indefinite Integral in Business and Economics
893(9)
Differential Equations
902(18)
Key Terms and Formulas
913(1)
Review Exercises
914(2)
Chapter Test
916(1)
Extended Applications/Group Projects
917(3)
Definite Integrals; Techniques of Integration
920(76)
Warm-up
920(2)
Area Under a Curve
922(10)
The Definite Integral; The Fundamental Theorem of Calculus
932(10)
Area Between Two Curves
942(12)
Applications of Definite Integrals in Business and Economics
954(12)
Using Tables of Integrals
966(5)
Integration by Parts
971(7)
Improper Integrals and Their Applications
978(18)
Key Terms and Formulas
987(2)
Review Exercises
989(1)
Chapter Test
990(3)
Extended Applications/Group Projects
993(3)
Functions of Two or More Variables
996
Warm-up
996(2)
Functions of Two or More Variables
998(7)
Partial Differentiation
1005(11)
Applications of Functions of Two Variables in Business and Economics
1016(8)
Maxima and Minima
1024(11)
Maxima and Minima of Functions Subject to Constraints; Lagrange Multipliers
1035
Key Terms and Formulas
1043(1)
Review Exercises
1043(3)
Chapter Test
1046(1)
Extended Applications/Group Projects
1047
Appendix: Areas Under the Standard Normal Curve AP-1(1)
Answers A-1(1)
Index I-1(1)
Credits I-1

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