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Raymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish.
Michael R. Ziegler (late) received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.
Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.
Diagnostic Prerequisite Test
PART ONE: A LIBRARY OF ELEMENTARY FUNCTIONS
1. Linear Equations and Graphs
1.1 Linear Equations and Inequalities
1.2 Graphs and Lines
1.3 Linear Regression
Chapter 1 Review
Review Exercises
2. Functions and Graphs
2.1 Functions
2.2 Elementary Functions: Graphs and Transformations
2.3 Quadratic Functions
2.4 Polynomial and Rational Functions
2.5 Exponential Functions
2.6 Logarithmic Functions
Chapter 2 Review
Review Exercises
PART TWO: FINITE MATHEMATICS
3. Mathematics of Finance
3.1 Simple Interest
3.2 Compound and Continuous Compound Interest
3.3 Future Value of an Annuity; Sinking Funds
3.4 Present Value of an Annuity; Amortization
Chapter 3 Review
Review Exercises
4. Systems of Linear Equations; Matrices
4.1 Review: Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations and Augmented Matrices
4.3 Gauss-Jordan Elimination
4.4 Matrices: Basic Operations
4.5 Inverse of a Square Matrix
4.6 Matrix Equations and Systems of Linear Equations
4.7 Leontief Input-Output Analysis
Chapter 4 Review
Review Exercises
5. Linear Inequalities and Linear Programming
5.1 Linear Inequalities in Two Variables
5.2 Systems of Linear Inequalities in Two Variables
5.3 Linear Programming in Two Dimensions: A Geometric Approach
Chapter 5 Review
Review Exercises
6. Linear Programming: The Simplex Method
6.1 the Table Method: An Introduction to the Simplex Method
6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤
6.3 The Dual; Minimization with Problem Constraints of the form ≥
6.4 Maximization and Minimization with Mixed Problem Constraints
Chapter 6 Review
Review Exercises
7. Logic, Sets, and Counting
7.1 Logic
7.2 Sets
7.3 Basic Counting Principles
7.4 Permutations and Combinations
Chapter 7 Review
Review Exercises
8. Probability
8.1 Sample Spaces, Events, and Probability
8.2 Union, Intersection, and Complement of Events; Odds
8.3 Conditional Probability, Intersection, and Independence
8.4 Bayes' Formula
8.5 Random Variables, Probability Distribution, and Expected Value
Chapter 8 Review
Review Exercises
9. Markov Chains
9.1 Properties of Markov Chains
9.2 Regular Markov Chains
9.3 Absorbing Markov Chains
Chapter 9 Review
Review Exercises
10. Games and Decisions
10.1 Strictly Determined Games
10.2 Mixed Strategy Games
10.3 Linear Programming and 2 x 2 Games—Geometric Approach
10.4 Linear Programming and m x n Games—Simplex Method and the Dual
Chapter 10 Review
Review Exercises
11. Data Description and Probability Distributions
11.1 Graphing Data
11.2 Measures of Central Tendency
11.3 Measures of Dispersion
11.4 Bernoulli Trials and Binomial Distributions
11.5 Normal Distributions
Chapter 11 Review
Review Exercises
APPENDICES
A. Basic Algebra Review
A.1 Algebra and Real Numbers
A.2 Operations on Polynomials
A.3 Factoring Polynomials
A.4 Operations on Rational Expressions
A.5 Integer Exponents and Scientific Notation
A.6 Rational Exponents and Radicals
A.7 Quadratic Equations
B. Special Topics
B.1 Sequences, Series, and Summation Notation
B.2 Arithmetic and Geometric Sequences
B.3 Binomial Theorem
C. Tables
Table I. Area Under the Standard Normal Curve
Table II. Basic Geometric Formulas
Answers
Index
Applications Index