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College Mathematics for Business, Economics, Life Sciences, and Social Sciences,9780130797681
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College Mathematics for Business, Economics, Life Sciences, and Social Sciences

by ; ;
ISBN13:

9780130797681

ISBN10:
0130797685
Format:
Hardcover
Pub. Date:
12/1/1998
Publisher(s):
Prentice Hall
List Price: $105.00

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Summary

This text is a compilation of Calculus and Finite Mathematics by Barnett/Ziegler. One or two semester format.

Table of Contents

Preface ix
PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS 1(126)
Chapter 1 A Beginning Library of Elementary Functions
3(74)
1-1 Functions
3(20)
1-2 Elementary Functions: Graphs and Transformations
23(13)
1-3 Linear Functions and Straight Lines
36(16)
1-4 Quadratic Functions
52(15)
Important Terms and Symbols
67(1)
Review Exercise
68(4)
Group Activity 1: Introduction to Regression Analysis
72(2)
Group Activity 2: Mathematical Modeling in Business
74(3)
Chapter 2 Additional Elementary Functions
77(50)
2-1 Polynomial and Rational Functions
77(16)
2-2 Exponential Functions
93(14)
2-3 Logarithmic Functions
107(13)
Important Terms and Symbols
120(1)
Review Exercise
120(3)
Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions
123(1)
Group Activity 2: Comparing Regression Models
124(3)
PART TWO FINITE MATHEMATICS 127(384)
Chapter 3 Mathematics of Finance
129(46)
3-1 Simple Interest
129(6)
3-2 Compound Interest
135(14)
3-3 Future Value of an Annuity; Sinking Funds
149(7)
3-4 Present Value of an Annuity; Amortization
156(12)
Important Terms and Symbols
168(1)
Review Exercise
168(3)
Group Activity 1: Reducing Interest Payments on a Home Mortgage
171(1)
Group Activity 2: Yield to Maturity and Internal Rate of Return
172(3)
Chapter 4 Systems of Linear Equations: Matrices
175(90)
4-1 Review: Systems of Linear Equations in Two Variables
176(13)
4-2 Systems of Linear Equations and Augmented Matrices
189(10)
4-3 Gauss-Jordan Elimination
199(15)
4-4 Matrices: Basic Operations
214(13)
4-5 Inverse of a Square Matrix
227(12)
4-6 Matrix Equations and Systems of Linear Equations
239(11)
4-7 Leontief Input-Output Analysis
250(8)
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)
Chapter 5 Linear Inequalities and Linear Programming
265(100)
5-1 Systems of Linear Inequalities in Two Variables
265(14)
5-2 Linear Programming in Two Dimensions--A Geometric Approach
279(15)
5-3 A Geometric Introduction to the Simplex Method
294(8)
5-4 The Simplex Method: Maximization with Problem Constraints of the Form less than or equal to
302(20)
5-5 The Dual; Minimization with Problem Constraints of the Form greater than or equal to
322(17)
5-6 Maximization and Minimization with Mixed Problem Constraints
339(19)
Important Terms and Symbols
358(1)
Review Exercise
359(2)
Group Activity 1: The Two-Phase Method (An Alternative to the Big M Method)
361(3)
Group Activity 2: Production Scheduling
364(1)
Chapter 6 Probability
365(98)
6-1 Basic Counting Principles
366(10)
6-2 Permutations and Combinations
376(13)
6-3 Sample Spaces, Events, and Probability
389(16)
6-4 Union, Intersection, and Complement of Events; Odds
405(15)
6-5 Conditional Probability, Intersection, and Independence
420(16)
6-6 Bayes' Formula
436(7)
6-7 Random Variable, Probability Distribution, and Expected Value
443(10)
Important Terms and Symbols
453(1)
Review Exercise
454(5)
Group Activity 1: Car and Crying Towels
459(1)
Group Activity 2: Simulation-A Draft Lottery for Professional Sports
460(3)
Chapter 7 Markov Chains
463(48)
7-1 Properties of Markov Chains
463(13)
7-2 Regular Markov Chains
476(12)
7-3 Absorbing Markov Chains
488(16)
Important Terms and Symbols
504(1)
Review Exercise
504(4)
Group Activity 1: Social Mobility
508(1)
Group Activity 2: Gambler's Ruin
509(2)
PART THREE CALCULUS 511(432)
Chapter 8 The Derivative
513(92)
8-1 Rate of Change and Slope
514(13)
8-2 Limits
527(17)
8-3 The Derivative
544(13)
8-4 Derivatives of Constants, Power Forms, and Sums
557(13)
8-5 Derivatives of Products and Quotients
570(8)
8-6 Chain Rule: Power Form
578(8)
8-7 Marginal Analysis in Business and Economics
586(11)
Important Terms and Symbols
597(1)
Summary of Rules of Differentiation
598(1)
Review Exercise
598(5)
Group Activity 1: Minimal Average Cost
603(1)
Group Activity 2: Numerical Differentiation on a Graphing Utility
604(1)
Chapter 9 Graphing and Optimization
605(90)
9-1 Continuity and Graphs
606(16)
9-2 First Derivative and Graphs
622(17)
9-3 Second Derivative and Graphs
639(16)
9-4 Curve Sketching Techniques: Unified and Extended
655(16)
9-5 Optimization; Absolute Maxima and Minima
671(16)
Important Terms and Symbols
687(1)
Review Exercise
688(4)
Group Activity 1: Maximizing Profit
692(1)
Group Activity 2: Minimizing Construction Costs
692(3)
Chapter 10 Additional Derivative Topics
695(50)
10-1 The Constant e and Continuous Compound Interest
695(8)
10-2 Derivatives of Logarithmic and Exponential Functions
703(12)
10-3 Chain Rule: General Form
715(12)
10-4 Implicit Differentiation
727(7)
10-5 Related Rates
734(6)
Important Terms and Symbols
740(1)
Additional Rules of Differentiation
740(1)
Review Exercise
741(2)
Group Activity 1: Elasticity of Demand
743(1)
Group Activity 2: Point of Diminishing Returns
744(1)
Chapter 11 Integration
745(84)
11-1 Antiderivatives and Indefinite Integrals
745(15)
11-2 Integration by Substitution
760(12)
11-3 Differential Equations-Growth and Decay
772(12)
11-4 A Geometric-Numeric Introduction to the Definite Integral
784(16)
11-5 Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus
800(19)
Important Terms and Symbols
819(1)
Integration Formulas and Properties
819(1)
Review Exercise
819(5)
Group Activity 1: Simpson's Rule
824(3)
Group Activity 2: Bell-Shaped Curves
827(2)
Chapter 12 Additional Integration Topics
829(46)
12-1 Area between Curves
829(12)
12-2 Applications in Business and Economics
841(13)
12-3 Integration by Parts
854(7)
12-4 Integration Using Tables
861(8)
Important Terms and Symbols
869(1)
Review Exercise
869(2)
Group Activity 1: Analysis of Income Concentration from Raw Data
871(2)
Group Activity 2: Grain Exchange
873(2)
Chapter 13 Multivariable Calculus
875(68)
13-1 Functions of Several Variables
875(10)
13-2 Partial Derivatives
885(10)
13-3 Maxima and Minima
895(9)
13-4 Maxima and Minima Using Lagrange Multipliers
904(10)
13-5 Method of Least Squares
914(11)
13-6 Double Integrals Over Rectangular Regions
925(11)
Important Terms and Symbols
936(1)
Review Exercise
936(3)
Group Activity 1: City Planning
939(1)
Group Activity 2: Numerical Integration of Multivariable Functions
940(3)
Appendix A Basic Algebra Review
943(68)
Self-Test on Basic Algebra
943(2)
A-1 Sets
945(6)
A-2 Algebra and Real Numbers
951(7)
A-3 Operations on Polynomials
958(7)
A-4 Factoring Polynomials
965(6)
A-5 Operations on Rational Expressions
971(7)
A-6 Integer Exponents and Scientific Notation
978(6)
A-7 Rational Exponents and Radicals
984(7)
A-8 Linear Equations and Inequalities in One Variable
991(10)
A-9 Quadratic Equations
1001(10)
Appendix B Special Topics
1011(18)
B-1 Sequences, Series, and Summation Notation
1011(6)
B-2 Arithmetic and Geometric Sequences
1017(8)
B-3 The Binomial Theorem
1025(4)
Appendix C Tables
1029
Table I Basic Geometric Formulas
1029(2)
Table II Integration Formulas
1031
Answers A-1
Index I-1
Library of Elementary Functions Inside front cover
Applications Index Inside back cover


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