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College Mathematics for Business, Economics, Life Sciences, and Social Sciences,9780130920546
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College Mathematics for Business, Economics, Life Sciences, and Social Sciences

by ; ;
Edition:
9th
ISBN13:

9780130920546

ISBN10:
0130920541
Format:
Hardcover
Pub. Date:
1/1/2002
Publisher(s):
PRENTICE HALL
List Price: $117.33

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Summary

For freshman/sophomore, 2 semester/2-3 quarter courses covering finite mathematics and calculus for students in the departments of business, economics, social sciences, or life sciences. This mid-level text covers mathematics of finance, linear algebra, linear programming, probability, and descriptive statistics, with an emphasis on cross-discipline principles and practices. Designed to be student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.

Table of Contents

Preface xi
Part One A Library of Elementary Functions 1(128)
A Beginning Library of Elementary Functions
3(76)
Functions
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 Exponential and Polynomial Functions, and Logarithmic and Root Functions
125(1)
Group Activity 2: Comparing Regression Models
125(4)
Part Two Finite Mathematics 129(380)
Mathematics of Finance
131(46)
Simple Interest
132(6)
Compound Interest
138(13)
Future Value of an Annuity; Sinking Funds
151(8)
Present Value of an Annuity; Amortization
159(18)
Important Terms and Symbols
171(1)
Review Exercise
171(3)
Group Activity 1: Reducing Interest Payments on a Home Mortgage
174(1)
Group Activity 2: Yield to Maturity and Internal Rate of Return
175(2)
Systems of Linear Equations; Matrices
177(88)
Review: Systems of Linear Equations in Two Variables
178(13)
Systems of Linear Equations and Augmented Matrices
191(10)
Gauss-Jordan Elimination
201(14)
Matrices: Basic Operations
215(14)
Inverse of a Square Matrix
229(11)
Matrix Equations and Systems of Linear Equations
240(10)
Leontief Input-Output Analysis
250(15)
Important Terms and Symbols
258(1)
Review Exercise
259(3)
Group Activity 1: Using Matrices to Find Cost, Revenue, and Profit
262(1)
Group Activity 2: Direct and Indirect Operating Costs
263(2)
Linear Inequalities and Linear Programming
265(100)
Systems of Linear Inequalities in Two Variables
265(15)
Linear Programming in Two Dimensions: Geometric Approach
280(15)
Geometric Introduction to the Simplex Method
295(8)
The Simplex Method: Maximization with Problem Constraints of the Form ≤
303(19)
Dual Problem: Minimization with Problem Constraints of the Form ≥
322(35)
Maximization and Minimization with Mixed Problem Constraints Important Terms and Symbols
357(8)
Review Exercise
358(3)
Group Activity 1: The Two-Phase Method (An Alternative to the Big M Method)
361(2)
Group Activity 2: Production Scheduling
363(2)
Probability
365(96)
Basic Counting Principles
366(10)
Permutations and Combinations
376(13)
Sample Spaces, Events, and Probability
389(15)
Union, Intersection, and Complement of Events; Odds
404(14)
Conditional Probability, Intersection, and Independence
418(16)
Bayes' Formula
434(7)
Random Variable, Probability Distribution, and Expected Value
441(20)
Important Terms and Symbols
451(1)
Review Exercise
451(5)
Group Activity 1: Car and Crying Towels
456(2)
Group Activity 2: Simulation: Draft Lottery for Professional Sports
458(3)
Markov Chains
461(48)
Properties of Markov Chains
461(13)
Regular Markov Chains
474(12)
Absorbing Markov Chains
486(23)
Important Terms and Symbols
501(1)
Review Exercise
502(3)
Group Activity 1: Social Mobility
505(1)
Group Activity 2: Gambler' Ruin
506(3)
Part Three A Library of Elementary Functions 509(428)
The Derivative
511(94)
Rate of Change and Slope
512(12)
Limits
524(18)
The Derivative
542(13)
Derivatives of Constants, Power Forms, and Sums
555(14)
Derivatives of Products and Quotients
569(8)
Chain Rule: Power Form
577(7)
Marginal Analysis in Business and Economics
584(21)
Important Terms and Symbols
596(1)
Summary of Rules of Differentiation
596(1)
Review Exercise
597(4)
Group Activity 1: Minimal Average Cost
601(1)
Group Activity 2: Numerical Differentiation on a Graphing Utility
602(3)
Graphing and Optimization
605(90)
Continuity and Graphs
606(16)
First Derivative and Graphs
622(17)
Second Derivative and Graphs
639(16)
Curve Sketching Techniques: Unified and Extended
655(17)
Optimization; Absolute Maxima and Minima
672(23)
Important Terms and Symbols
688(1)
Review Exercise
689(4)
Group Activity 1: Maximizing Profit
693(1)
Group Activity 2: Minimizing Construction Costs
693(2)
Additional Derivative Topics
695(48)
The Constant e and Continuous Compound Interest
695(7)
Derivatives of Logarithmic and Exponential Functions
702(12)
Chain Rule: General Form
714(11)
Implicit Differentiation
725(7)
Related Rates
732(11)
Important Terms and Symbols
738(1)
Additional Rules of Differentiation
738(1)
Review Exercise
738(2)
Group Activity 1: Elasticity of Demand
740(1)
Group Activity 2: Point of Diminishing Returns
741(2)
Integration
743(82)
Antiderivatives and Indefinite Integrals
743(15)
Integration by Substitution
758(12)
Differential Equaitons; Growth and Decay
770(11)
Geometric-Numeric Introduction to the Definite Integral
781(16)
Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus
797(28)
Important Terms and Symbols
815(1)
Integration Formulas and Properties
816(1)
Review Exercise
816(4)
Group Activity 1: Simpson's Rule
820(3)
Group Activity 2: Bell-Shaped Curves
823(2)
Additional Integration Topics
825(44)
Area Between Curves
825(11)
Applications in Business and Economics
836(13)
Integration by Parts
849(8)
Integration Using Tables
857(12)
Important Terms and Symbols
864(1)
Review Exercise
865(2)
Group Activity 1: Analysis of Income Concentration from Raw Data
867(1)
Group Activity 2: Grain Exchange
868(1)
Multivariable Calculus
869(68)
Functions of Several Variables
869(11)
Partial Derivatives
880(9)
Maxima and Minima
889(9)
Maxima and Minima Using Lagrange Multipliers
898(10)
Method of Least Squares
908(11)
Double Integrals over Rectangular Regions
919(18)
Important Terms and Symbols
929(1)
Review Exercise
930(3)
Group Activity 1: City Planning
933(1)
Group Activity 2: Numerical Integration of Multivariable Functions
934(3)
APPENDIX A Basic Algebra Review 937(68)
Self-Test on Basic Algebra
937(2)
A-1 Sets
939(6)
A-2 Algebra and Real Numbers
945(7)
A-3 Operational on Polynomials
952(7)
A-4 Factoring Polynomials
959(6)
A-5 Operations on Rational Expressions
965(6)
A-6 Integer Exponents and Scientific Notation
971(6)
A-7 Rational Exponents and Radicals
977(7)
A-8 Linear Equations and Inequalities in One Variable
984(10)
A-9 Quadratic Equations
994(11)
APPENDIX B Special Topics 1005(20)
B-1 Sequences, Series, and Summation Notation
1005(7)
B-2 Arithmetic and Geometric Sequences
1012(8)
B-3 The Binomial Theorem
1020(5)
APPENDIX C Tables 1025(1)
APPENDIX B Table I
Table I Basic Geometric Formulas
1025(2)
Table II Integration Formulas
1027
Answers 1(1)
Index 1


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