College of Arts and Sciences

**Student Resources**

- Math Assistance Learning Lab (MALL)
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The course will describe the origins of mathematical concepts and

their evolution over time, from early number systems to recent results

in the foundations of mathematics. In addition to the mathematical

ideas themselves, we will consider the role of applications in their

development, and connections between society and mathematics through

the ages.

Text: *The History of Mathematics: An Introduction*, by David M. Burton, 7th edition.

Prerequisite: At least a year of calculus. Some background in

mathematical proof-writing.

Instructor: Betsy Berry, Ph. D.

Betsy Berry received her Ph. D. in mathematics education from Purdue University in 2007. As an undergraduate and master's student, she had the opportunity to study with the inimitable math historian, Dr. Howard Eves at the University of Maine and is looking forward to bringing his enthusiasm and expertise and passion for the history of math into her teaching of this course.

Time and location: MTWR 5:30-7:15 p.m. in Kettler 216, June 30 - August 8.

MA 525 is a standard introductory course in complex analysis. Topics to be covered include complex numbers and complex-valued functions, differentiation of complex functions, power series, uniform convergence, integration, contour integrals, and conformal mapping.

Text:*Complex Variables and Applications*, 8th edition, by Churchill and Brown.

Prerequisites: A course in advanced calculus or real analysis with a grade of C- or above, or permission of instructor.

Instructor: Yifei Pan, Ph. D.

Yifei Pan received a Ph. D. from the University of Michigan. His thesis was written on a topic in several complex variables and he has published papers on complex functions of one and several variables.

Time and location: Mondays and Wednesdays, 6-7:15 p.m. starting January 13 in Kettler G43.

Text:

Prerequisites: A course in advanced calculus or real analysis with a grade of C- or above, or permission of instructor.

Instructor: Yifei Pan, Ph. D.

Yifei Pan received a Ph. D. from the University of Michigan. His thesis was written on a topic in several complex variables and he has published papers on complex functions of one and several variables.

Time and location: Mondays and Wednesdays, 6-7:15 p.m. starting January 13 in Kettler G43.

We review the basics of linear algebra: vector spaces, linear mappings, dimension, matrices, determinants, and systems of linear equations. We then study the theory of Jordan and rational canonical forms for a linear operator.

Text: *Linear Algebra*, 2nd edition, by Kenneth Hoffman and Ray Kunze

Prerequisite: A first course in linear algebra and a first course in abstract algebra, with C- or above.

Instructor: Adam Coffman, Ph. D.

Professor Coffman received a Ph.D. from the University of Chicago, and has taught

upper-level courses in algebra, analysis, and geometry at IPFW since 1997.

His research interests are in geometry and complex analysis.

Time and location: Tuesdays and Thursdays, 4:30-5:45 p.m. starting January 14, in Kettler 216.

This course will present a logical development of plane geometry, both Euclidean and non-Euclidean, from a modern axiomatic perspective. There will be an emphasis on understanding the proofs of the theorems as well as their content. Historical and philosophical aspects of geometry will be included.

Text: *Euclidean and Non-Euclidean Geometries: Development and History* (4th edition) by Marvin Greenberg.

Prerequisites: MA 305 (Foundations of Higher Mathematics) with C- or better. Some experience with proofs and abstract mathematics in a previous or concurrent university course will be helpful.

Instructor: Lowell W. Beineke, Ph. D.

Lowell W. Beineke received a doctorate from the University of Michigan and is the Jack Schrey Professor of Mathematics. He has won several teaching awards (including a listing in Purdue's *Book of Great Teachers *) and research awards, and has published more than 100 papers and several books in graph theory. He served as editor of *The College Mathematics Journal. *

Time and location: Mondays and Wednesdays, 4:30-5:45 p.m. starting January 13 in Kettler 216.

A first course in stationary time series with applications using real and simulated data. Computing projects are assigned, so some computer language (e.g. C, FORTRAN, SPLUS etc.) or statistical package should also be familiar. Topics include stationarity, autocovariance function and spectrum; integral representation of a stationary time series and interpretation; linear filtering, transfer functions; estimation of spectrum; multivariate time series. Use of computer programs for covariance and spectral estimation.

Text: *Time Series Analysis with applications in R*, second edition by Cryer and Chan, Springer.

Prerequisite: STAT 512 with C- or above.

Instructor: Yvonne Zubovic, Ph. D.

Yvonne Zubovic received a Ph. D. from The Ohio State University in 1988 and has taught at IPFW since 1991. In 1997, she received the Outstanding Teacher award for IPFW. Her main research interests are in biostatistics.

Time and location: Tuesdays and Thursdays 6-7:15, beginning January 14, in Kettler 218.

This is a second course in linear algebra, with applications. The course starts with a quick review of matrix algebra, then covers vector spaces, linear transformations, and a variety of topics related to eigenvalues and eigenvectors.

Text: *Linear Algebra*, 4th edition, by Friedberg, Insel, and Spence.

Prerequisite: An undergraduate course in linear algebra, such as MA 351.

Instructor: Safwan Akkari, Ph. D.

Safwan Akkari joined the IPFW faculty in 1988. He has a B.S. from the Lebanese University and an M.S. from the University of Tennessee Space Institute. He received a Ph.D. from Louisiana State University in 1988. His research interests are in matroid theory and graph theory.

Time and location: Tuesdays and Thursdays 4:30-5:45 p.m., beginning August 27, in Kettler 119.

In this course, we discuss 1st and 2nd order PDEs, including transport equations, heat equations, wave equations and Laplace equations. We will mainly focus on solutions and the corresponding properties (uniqueness, maximum principle etc) of solutions. Since PDEs are derived directly from models in physics and engineering, the understanding of solutions can be used to explain various physical phenomena.

Text: *Partial Differential Equations for Scientists and Engineers*.

Author: Stanley Farlow. ISBN-13: 978-0486676203

*Partial Differential Equations: An introduction* (optional)

Author: Walter Strauss. ISBN-13: 978-0-470-05456-7

Prerequisite: a first course in differential equations, such as MA 363. See the instructor if you have a question about your background.

Instructor: Yuan Zhang, Ph. D.

Yuan Zhang received a Ph. D. from Rutgers University. Her current research interest is several complex variables and the corresponding PDEs.

Time and location: Mondays and Wednesdays 6-7:15 p.m., beginning August 26, in Kettler G44.

This course presents the basic theory of some algebraic structures of importance in modern mathematics: groups, rings, and fields. The theory will be applied to the solution of polynomial equations and other problems from geometry.

Text: *Abstract Algebra*, 3rd edition, by John A. Beachy and William D. Blair.

Prerequisite: A first course in abstract algebra, such as MA 453, or consent of instructor. Some background in linear algebra is also helpful.

Instructor: Adam Coffman, Ph.D.

Professor Coffman received a Ph.D. from the University of Chicago, and has taught upper-level courses in algebra, analysis, and geometry at IPFW since 1997. His research interests are in geometry and complex analysis.

Time and location: Mondays and Wednesdays, 4:30-5:45 p.m., beginning August 26, in Kettler 218.

MA 571 is an introductory graduate course in point-set topology, covering the ideas of metric and topological spaces, continuity, connectedness, and compactness. The course will emphasize both proofs and examples, and it will relate topology to the foundations of analysis.

Text: *Introduction to Topology* (3rd ed) by Bert Mendelson and *Counterexamples in Topology* by Lynn Arthur Steen and J. Arthur Seebach, Jr. These are both Dover paperbacks.

Prerequisite: A grade of C or better in MA 441 (Real Analysis) or its equivalent. See the instructor if you have a question about your background.

Instructor: Cecilia A. Weakley, Ph.D.

Cecilia Weakley received a Ph.D. from the University of North Carolina at Chapel Hill and has taught at IPFW since 1989. She has published papers in measure theory and functional analysis.

Time and location: Tuesdays and Thursdays 4:30-5:45, beginning August 27, in Kettler 239.

Topics covered include inference in simple and multiple linear regression, polynomial regression, model building with real data; one-way and two-way analysis of variance, analysis of covariance; use of existing statistical computer programs.

Text: To be determined

Prerequisite: A statistics course similar to STAT 511, 517, or 528. See the instructor if you have a question about your background.

Instructor: Yvonne Zubovic, Ph. D.

Yvonne Zubovic received a Ph. D. from The Ohio State University in 1988 and has taught at IPFW since 1991. In 1997, she received the Outstanding Teacher award for IPFW. Her main research interests are in biostatistics.

Time and location: Tuesdays and Thursdays 6-7:15, beginning August 27, in Kettler 218.

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