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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. Co-authors include Michael Ziegler, Marquette University; Thomas Kearns, Northern University; Charles Burke, City College of San Francisco; John Fuji, Merritt College; and Karl Byleen, Marquette University.
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.
Part One: A Library of Elementary Functions
Chapter 1: Linear Equations and Graphs
1-1 Linear Equations and Inequalities
1-2 Graphs and Lines
1-3 Linear Regression
Chapter 1 Review
Review Exercise
Chapter 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 Exercise
Part Two: Finite Mathematics
Chapter 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 Exercise
Chapter 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 Exercise
Chapter 5: Linear Inequalities and Linear Programming
5-1 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 Exercise
Chapter 6: Linear Programming: Simplex Method
6-1 A Geometric 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 Exercise
Chapter 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 Exercise
Chapter 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 Exercise
Chapter 9: Markov Chains
9-1 Properties of Markov Chains
9-2 Regular Markov Chains
9-3 Absorbing Markov Chains
Chapter 9 Review
Review Exercise
Part Three: Calculus
Chapter 10: Limits and the Derivative
10-1 Introduction to Limits
10-2 Infinite Limits and Limits at Infinity
10-3 Continuity
10-4 The Derivative
10-5 Basic Differentiation Properties
10-6 Differentials
10-7 Marginal Analysis in Business and Economics
Chapter 10 Review
Review Exercise
Chapter 11: Additional Derivative Topics
11-1 The Constant e and Continuous Compound Interest
11-2 Derivatives of Logarithmic and Exponential Functions
11-3 Derivatives of Products and Quotients
11-4 The Chain Rule
11-4 Implicit Differentiation
11-5 Related Rates
11-7 Elasticity of Demand
Chapter 11 Review
Review Exercise
Chapter 12: Graphing and Optimization
12-1 First Derivative and Graphs
12-2 Second Derivative and Graphs
12-3 L'Hopitals's Rule
12-4 Curve Sketching Techniques
12-5 Absolute Maxima and Minima
12-6 Optimization
Chapter 12 Review
Review Exercise
Chapter 13: Integration
13-1 Antiderivatives and Indefinite Integrals
13-2 Integration by Substitution
13-3 Differential Equations; Growth and Decay
13-4 The Definite Integral
13-5 The Fundamental Theorem of Calculus
Chapter 13 Review
Review Exercise
Chapter 14: Additional Integration Topics
14-1 Area Between Curves
14-2 Applications in Business and Economics
14-3 Integration by Parts
14-4 Integration Using Tables
Chapter 14 Review
Review Exercise
Chapter 15: Multivariable Calculus
15-1 Functions of Several Variables
15-2 Partial Derivatives
15-3 Maxima and Minima
15-4 Maxima and Minima Using Lagrange Multipliers
15-5 Method of Least Squares
15-6 Double Integrals Over Rectangular Regions
15-7 Double Integrals Over More General Regions
Chapter 15 Review
Review Exercise
Appendixes
Appendix A: Basic Algebra Review
Self-Test on Basic Algebra
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
Appendix B: Special Topics
B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 Binomial Theorem
Appendix C: Tables
Table I Area Under the Standard Normal Curve
Table II Basic Geometric Formulas
Answers
Index
Applications Index
A Library of Elementary Functions