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Finite Mathematics and Calculus With Applications,9780321016331
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Finite Mathematics and Calculus With Applications

by ; ;
Edition:
5th
ISBN13:

9780321016331

ISBN10:
0321016335
Format:
Hardcover
Pub. Date:
10/1/1997
Publisher(s):
Pearson College Div

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Summary

Widely known for incorporating interesting, relevant and realistic applications, this new edition offers many more real applications citing real data sources. It also allows for increased visualization and discovery through optional use of graphing calculators. A dedicated World Wide Web site rounds out the teaching and learning package, offering projects based on current events, and graphing calculator programs tied to the text.

Table of Contents

Preface ix
Index of Applications xv
Algebra Reference
Polynomials xx
Factoring xxiii
Rational Expressions xxv
Equations xxix
Inequalities xxxv
Exponents xl
Radicals xliv
Linear Functions
Slope and Equations of a Line
2(13)
Linear Functions
15(12)
Linear Mathematical Models
27(10)
Constructing a Mathematical Model
37(19)
Review Exercises
49(3)
Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants
52(1)
Extended Application: Depreciation
53(3)
Systems of Linear Equations and Matrices
Solution of Linear Systems by the Echelon Method
56(10)
Solution of Linear Systems by the Gauss-Jordan Method
66(13)
Addition and Subtraction of Matrices
79(8)
Multiplication of Matrices
87(11)
Matrix Inverses
98(10)
Input-Output Models
108(14)
Review Exercises
115(5)
Extended Application:Contagion
120(2)
Linear Programming:The Graphical Method
Graphing Linear Inequalities
122(8)
Solving Linear Programming Problems Graphically
130(6)
Applications of Linear Programming
136(12)
Review Exercises
144(4)
Linear Programming:The Simplex Method
Slack Variables and the Pivot
148(8)
Maximization Problems
156(10)
Minimization Problems; Duality
166(11)
Nonstandard Problems
177(15)
Review Exercises
186(1)
Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix
187(5)
Mathematics of Finance
Simple and Compound Interest
192(9)
Future Value of an Annuity
201(9)
Present Value of an Annuity; Amortization
210(18)
A Strategy for Solving Finance Problems
219(1)
Review Exercises
220(4)
Extended Application: Time, Money, and Polynomials
224(4)
Sets and Probability
Sets
228(9)
Applications of Venn Diagrams
237(9)
Introduction to Probability
246(8)
Basic Concepts of Probability
254(11)
Conditional Probability; Independent Events
265(16)
Bayes' Theorem
281(17)
Probability Summary
288(1)
Review Exercises
289(6)
Extended Application: Medical Diagnosis
295(3)
Counting Principles; Further Probability Topics
The Multiplication Principle; Permutations
298(8)
Combinations
306(9)
Probability Applications of Counting Principles
315(10)
Binomial Probability
325(7)
Probability Distributions; Expected Value
332(18)
Review Exercises
343(5)
Extended Application: Optimal Inventory for a Service Truck
348(2)
Statistics
Frequency Distributions; Measures of Central Tendency
350(12)
Measures of Variation
362(8)
The Normal Distribution
370(10)
Normal Approximation to the Binomial Distribution
380(12)
Review Exercises
387(5)
Markov Chains
Basic Properties of Markov Chains
392(9)
Regular Markov Chains
401(9)
Absorbing Markov Chains
410(16)
Review Exercises
419(4)
Extended Application: Cavities and Restoration
423(3)
Game Theory
Strictly Determined Games
426(8)
Mixed Strategies
434(10)
Game Theory and Linear Programming
444(14)
Review Exercises
451(3)
Extended Application: Decision Making in the Military
454(4)
Nonlinear Functions
Properties of Functions
458(13)
Quadratic Functions
471(8)
Translations and Reflections of Functions
479(7)
Polynomial and Rational Functions
486(14)
Exponential Functions
500(11)
Logarithmic Functions
511(14)
Applications: Growth and Decay; Mathematics of Finance
525(23)
Review Exercises
538(8)
Extended Application: Characteristics of the Monkeyface Prickleback
546(2)
The Derivative
Limits
548(17)
Continuity
565(7)
Rates of Change
572(14)
Definition of the Derivative
586(18)
Graphical Differentiation
604(12)
Review Exercises
610(6)
Calculating the Derivative
Techniques for Finding Derivatives
616(13)
Derivatives of Products and Quotients
629(7)
The Chain Rule
636(10)
Derivatives of Exponential Functions
646(6)
Derivatives of Logarithmic Functions
652(10)
Review Exercises
658(4)
Graphs and the Derivative
Increasing and Decreasing Functions
662(10)
Relative Extrema
672(13)
Higher Derivatives, Concavity, and the Second Derivative Test
685(14)
Curve Sketching
699(13)
Review Exercises
707(5)
Applications of the Derivative
Absolute Extrema
712(8)
Applications of Extrema
720(11)
Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
731(9)
Implicit Differentiation
740(5)
Related Rates
745(6)
Differentials: Linear Approximation
751(13)
Review Exercises
757(3)
Extended Application: A Total Cost Model for a Training Program
760(1)
Extended Application: The Effect of Oil Price on the Optimal Speed of Ships
761(3)
Integration
Antiderivatives
764(11)
Substitution
775(8)
Area and the Definite Integral
783(13)
The Fundamental Theorem of Calculus
796(10)
The Area Between Two Curves
806(9)
Numerical Integration
815(17)
Review Exercises
825(4)
Extended Application: Estimating Depletion Dates for Minerals
829(3)
Further Techniques and Applications of Integration
Integration by Parts; Tables of Integrals
832(8)
Volume and Average Value
840(6)
Continuous Money Flow
846(8)
Improper Integrals
854(5)
Solutions of Elementary and Separable Differential Equations
859(19)
Review Exercises
871(3)
Extended Application: How Much Does a Warranty Cost?
874(4)
Multivariable Calculus
Functions of Several Variables
878(11)
Partial Derivatives
889(10)
Maxima and Minima
899(9)
Lagrange Multipliers
908(7)
Total Differentials and Approximations
915(5)
Double Integrals
920(20)
Review Exercises
932(5)
Extended Application: Lagrange Multipliers for a Predator
937(3)
Probability and Calculus
Continuous Probability Models
940(7)
Expected Value and Variance of Continuous Random Variables
947(6)
Special Probability Density Functions
953
Review Exercises
965(3)
Extended Application: A Crop-Planting Model
968
Tables
Table 1: Formulas from Geometry
A-1
Table 2: Area Under a Normal Curve
A-3
Table 3: Integrals
A-5
Answers to Selected Exercises A-7
Index I-1


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