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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.
Table of Contents
CHAPTER 1 DIFFERENTIAL EQUATIONS
1-1 Basic Concepts
1-2 Separation of Variables
1-3 First-Order Linear Differential Equations
Chapter 1 Review
CHAPTER 2 TAYLOR POLYNOMIALS AND INFINITE SERIES
2-1 Taylor Polynomials
2-2 Taylor Series
2-3 Operations on Taylor Series
2-4 Approximations Using Taylor Series
Chapter 2 Review
CHAPTER 3 PROBABILITY AND CALCULUS
3-1 Improper Integrals
3-2 Continuous Random Variables
3-3 Expected Value, Standard Deviation, and Median
3-4 Special Probability Distributions
Chapter 3 Review
Appendices A and B are found in the main texts: Calculus for Business, Economics, Life Sciences and Social Sciences, 12/e (ISBN-13: 978-0-321-61399-8) and College Mathematics for Business, Economics, Life Sciences and Social Sciences, 12/e (ISBN-13: 978-0-321-61400-1).
APPENDIX C TABLES
Table III Area Under the Standard Normal Curve
APPENDIX D SPECIAL CALCULUS TOPIC
D-1 Interpolating Polynomials and Divided Differences
Solutions to Odd-Numbered Exercises