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Finite Mathematics & Its Applications

ISBN: 9780131873643 | 0131873644
Edition: 10th
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2010

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SummaryTable of Contents
A tried and true favorite of both students and instructors alike, this text offers extremely readable coverage of the principles of finite mathematics and their applications in business, social science, and the life sciences. Topics are presented in a straightforward, interesting manner, with considerable attention given to the applications of the mathematics. The goal is for the students' mathematical maturity and appreciation for the usefulness of mathematics to grow simultaneously. Many sections contain specially designed technology exercises.
Prefacevii
Linear Equations and Straight Lines
1(56)
Coordinate Systems and Graphs
1(10)
... MORE
Linear Inequalities
11(10)
The Intersection Point of a Pair of Lines
21(5)
The Slope of a Straight Line
26(14)
The Method of Least Squares
40(17)
Chapter Test
54(1)
Chapter Project: Break-Even Analysis
55(2)
Matrices
57(66)
Solving Systems of Linear Equations, I
57(13)
Solving Systems of Linear Equations, II
70(8)
Arithmetic Operations on Matrices
78(15)
The Inverse of a Matrix
93(10)
The Gauss-Jordan Method for Calculating Inverses
103(5)
Input-Output Analysis
108(15)
Chapter Test
118(2)
Chapter Project: Population Dynamics
120(3)
Linear Programming, A Geometric Approach
123(36)
A Linear Programming Problem
123(7)
Linear Programming I
130(11)
Linear Programming II
141(18)
Chapter Test
155(2)
Chapter Project: Shadow Prices
157(2)
The Simplex Method
159(54)
Slack Variables and the Simplex Tableau
159(9)
The Simplex Method I: Maximum Problems
168(12)
The Simplex Method II: Minimum Problems
180(8)
Sensitivity Analysis and Matrix Formulations of Linear Programming Problems
188(8)
Duality
196(17)
Chapter Test
211(1)
Chapter Project: Shadow Prices
212(1)
Sets and Counting
213(60)
Sets
213(7)
A Fundamental Principle of Counting
220(6)
Venn Diagrams and Counting
226(6)
The Multiplication Principle
232(7)
Permutations and Combinations
239(7)
Further Counting Problems
246(6)
The Binomial Theorem
252(6)
Multinomial Coefficients and Partitions
258(15)
Chapter Test
267(2)
Chapter Project: Pascal's Triangle
269(4)
Probability
273(70)
Introduction
273(2)
Experiments, Outcomes, and Events
275(9)
Assignment of Probabilities
284(11)
Calculating Probabilities of Events
295(9)
Conditional Probability and Independence
304(12)
Tree Diagrams
316(8)
Bayes' Theorem
324(6)
Simulation
330(13)
Chapter Test
340(1)
Chapter Project: Two Paradoxes
341(2)
Probability and Statistics
343(76)
Visual Representations of Data
344(8)
Frequency and Probability Distributions
352(12)
Binomial Trials
364(6)
The Mean
370(11)
The Variance and Standard Deviation
381(11)
The Normal Distribution
392(14)
Normal Approximation to the Binomial Distribution
406(13)
Chapter Test
415(2)
Chapter Project: An Unexpected Expected Value
417(2)
Markov Processes
419(36)
The Transition Matrix
419(11)
Regular Stochastic Matrices
430(8)
Absorbing Stochastic Matrices
438(17)
Chapter Test
451(1)
Chapter Project: Doubly Stochastic Matrices
452(3)
The Theory of Games
455(30)
Games and Strategies
455(7)
Mixed Strategies
462(7)
Determining Optimal Mixed Strategies
469(16)
Chapter Test
482(1)
Chapter Project: Simulating The Outcomes of Mixed-Strategy Games
483(2)
The Mathematics of Finance
485(52)
Interest
485(11)
Annuities
496(10)
Amortization of Loans
506(9)
Personal Financial Decisions
515(22)
Chapter Test
533(1)
Chapter Project: Two Items of Interest
534(3)
Difference Equations and Mathematical Models
537(40)
Introduction to Difference Equations I
537(8)
Introduction to Difference Equations II
545(7)
Graphing Difference Equations
552(9)
Mathematics of Personal Finance
561(6)
Modeling with Difference Equations
567(10)
Chapter Test
574(2)
Chapter Project: Connections to Markov Processes
576(1)
Logic
577
Introduction to Logic
577(5)
Truth Tables
582(9)
Implication
591(8)
Logical Implication and Equivalence
599(9)
Valid Argument
608(6)
Predicate Calculus
614(10)
Logic Circuits
624
Chapter Test
632(2)
Chapter Project: A Logic Puzzle
634
Appendix A Tables
1(8)
Table 1 Areas under the standard normal curve
2(1)
Table 2 (1 + i)n Compound amount of $1 invested for n interest periods at interest rate i per period
3(1)
Table 3 1/(1 + i)n Present value of $1. Principal that will accumulate to $1 in n interest periods at a compound rate of i per period
4(1)
Table 4 s n i Future value of an ordinary annuity of n $1 payments each, immediately after the last payment at compound interest rate of i per period
5(1)
Table 5 1/s n i Rent per period for an ordinary annuity of n payments, with compounded interest rate i per period, and future value $1
6(1)
Table 6 ani Present value of an ordinary annuity of n payments of $1 one period before the first payment, with interest compounded at i per period
7(1)
Table 7 1/a n i Rent per period for an ordinary annuity of n payments whose present value is $1, with interest compounded at i per period
8(1)
Appendix B Using the TI-83/TI-83+/TI-84+ Graphing Calculators
9(3)
Appendix C Spreadsheet Fundamentals
12(4)
Appendix D Using the TI-89 Graphing Calculator
16(5)
Answers to Exercises21(42)
Solutions to Circled Exercises63
Index1

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