Applied Finite Mathematics

by Tan, Soo Tang

• ISBN13: 9780534955625
• ISBN10: 0534955622
• Format: Hardcover
• Copyright: 1997-01-07
• Publisher: Brooks Cole

Summary

Includes solutions to odd-numbered exercises in the text.

Table of Contents

CHAPTER 1 Straight Lines and Linear Functions	2	(68)
1.1 The Cartesian Coordinate System	4	(8)
1.2 Straight Lines	12	(18)
Using Technology: Graphing a Function	28	(2)
1.3 Linear Functions and Mathematical Models	30	(14)
PORTFOLIO: Carol Busa	34	(8)
Using Technology: Evaluating a Function	42	(2)
1.4 Intersection of Straight Lines	44	(13)
Using Technology: Finding the Points of Intersection of Two Graphs	54	(3)
1.5 The Method of Least Squares (Optional)	57	(13)
Using Technology: Finding an Equation of a Least-Squares Line	64	(3)
Chapter 1 Summary of Principal Formulas and Terms	67	(1)
Chapter 1 Review Exercises	68	(2)
CHAPTER 2 Systems of Linear Equations and Matrices	70	(102)
2.1 Systems of Linear Equations--Introduction	72	(9)
2.2 Solving Systems of Linear Equations I	81	(19)
Using Technology: Solving Systems of Linear Equations I	96	(4)
2.3 Solving Systems of Linear Equations II	100	(13)
Using Technology: Solving Systems of Linear Equations II	110	(3)
2.4 Matrices	113	(12)
Using Technology: Matrix Addition and Subtraction, Scalar Multiplication, and the Transpose of a Matrix	122	(3)
2.5 Multiplication of Matrices	125	(15)
Using Technology: Matrix Multiplication	136	(4)
2.6 The Inverse of a Square Matrix	140	(17)
Using Technology: Finding the Inverse of a Square Matrix	152	(5)
*2.7 Leontief Input-Output Model (Optional)	157	(15)
Using Technology: The Leontief Input-Output Model	164	(4)
Chapter 2 Summary of Principal Formulas and Terms	168	(1)
Chapter 2 Review Exercises	169	(3)
CHAPTER 3 Linear Programming: A Geometric Approach	172	(38)
3.1 Graphing Systems of Linear Inequalities in Two Variables	174	(9)
3.2 Linear Programming Problems	183	(9)
PORTFOLIO Leanne Jenkins	189	(3)
3.3 Graphical Solution of Linear Programming Problems	192	(18)
Chapter 3 Summary of Principal Terms	207	(1)
Chapter 3 Review Exercises	208	(2)
CHAPTER 4 Linear Programming: An Algebraic Approach	210	(62)
4.1 The Simplex Method: Standard Maximization Problems	212	(24)
PORTFOLIO: Harley Lance Kaplan	231	(1)
Using Technology: The Simplex Method: Solving Maximization Problems	232	(4)
4.2 The Simplex Method: Standard Minimization Problems	236	(18)
Using Technology: The Simplex Method: Solving Minimization Problems	250	(4)
*4.3 The Simplex Method: Nonstandard Problems (Optional)	254	(18)
Chapter 4 Summary of Principal Terms	270	(1)
Chapter 4 Review Exercises	270	(2)
CHAPTER 5 Mathematics of Finance	272	(50)
5.1 Compound Interest	274	(14)
Using Technology: Finding the Accumulated Amount of an Investment and Finding the Effective Rate of Interest	286	(2)
5.2 Annuities	288	(11)
Using Technology: Finding the Amount of an Annuity	296	(3)
5.3 Amortization and Sinking Funds	299	(11)
PORTFOLIO: John Decker	302	(6)
Using Technology: Amortizing a Loan	308	(2)
*5.4 Arithmetic and Geometric Progressions (Optional)	310	(12)
Chapter 5 Summary of Principal Formulas and Terms	319	(1)
Chapter 5 Review Exercises	320	(2)
CHAPTER 6 Sets and Counting	322	(48)
6.1 Sets and Set Operations	324	(11)
6.2 The Number of Elements in a Finite Set	335	(7)
6.3 The Multiplication Principle	342	(7)
PORTFOLIO: John L. Higgins	346	(3)
6.4 Permutations and Combinations	349	(21)
Using Technology: Evaluating n!, P(n, r), and C(n, r)	364	(2)
Chapter 6 Summary of Principal Formulas and Terms	366	(1)
Chapter 6 Review Exercises	367	(3)
CHAPTER 7 Probability	370	(70)
7.1 Experiments, Sample Spaces, and Events	372	(10)
7.2 Definition of Probability	382	(10)
7.3 Rules of Probability	392	(9)
7.4 Use of Counting Techniques in Probability	401	(9)
7.5 Conditional Probability and Independent Events	410	(16)
7.6 Bayes' Theorem	426	(14)
Chapter 7 Summary of Principal Formulas and Terms	437	(1)
Chapter 7 Review Exercises	437	(3)
CHAPTER 8 Probability Distributions and Statistics	440	(76)
8.1 Distributions of Random Variables	442	(12)
Using Technology: Graphing a Histogram	450	(4)
8.2 Expected Value	454	(14)
PORTFOLIO: Lilli Meiselman	466	(2)
8.3 Variance and Standard Deviation	468	(12)
Using Technology: Finding the Mean and Standard Deviation	478	(2)
8.4 The Binomial Distribution	480	(12)
8.5 The Normal Distribution	492	(11)
8.6 Applications of the Normal Distribution	503	(13)
Chapter 8 Summary of Principal Formulas and Terms	513	(1)
Chapter 8 Review Exercises	514	(2)
CHAPTER 9 Markov Chains and the Theory of Games	516	(67)
9.1 Markov Chains	518	(13)
Using Technology: Finding Distribution Vectors	528	(3)
9.2 Regular Markov Chains	531	(13)
Using Technology: Finding the Long-Term Distribution Vector	542	(2)
9.3 Absorbing Markov Chains	544	(9)
9.4 Game Theory and Strictly Determined Games	553	(12)
9.5 Games with Mixed Strategies	565	(18)
Chapter 9 Summary of Principal Formulas and Terms	578	(2)
Chapter 9 Review Exercises	580	(3)
APPENDIX A Introduction to Logic	583	(32)
A.1 Propositions and Connectives	584	(6)
A.2 Truth Tables	590	(2)
A.3 The Conditional and the Biconditional Connectives	592	(6)
A.4 Laws of Logic	598	(4)
A.5 Arguments	602	(7)
A.6 Applications of Logic to Switching Networks	609	(6)
APPENDIX B The System of Real Numbers	615	(4)
APPENDIX C Tables	619	(1)
Table I: Compound Amount, Present Value, and Annuity	620	(16)
Table II: Binomial Probabilities	636	(3)
Table III: The Standard Normal Distribution	639	(2)
Answers to Odd-Numbered Exercises	641	(30)
Index	671