College of Arts and Sciences

**Student Resources**

- Math Assistance Learning Lab (MALL)
- e-Homework
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- Common Office Hours for Precalculus and Calculus
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In MA 540 (and 541) we examine some fundamental topics from calculus with closer attention to theory and proof. In the setting of metric spaces we study sequences and continuous functions, using the concepts of completeness, compactness, and connectedness.

Text: *Introduction to Analysis* by Maxwell Rosenlicht.

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 Weakley, Ph. D. (weakley (at) ipfw.edu ; (260)-481-6233)

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 p.m., starting August 26, in Kettler G29.

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Text:

Outline:

●Introduction to error-correcting codes. (1.5 weeks)

●Linear codes. (1.5 weeks)

●Perfect codes, the Hamming and Golay codes. (2 weeks)

●Cyclic linear codes. (1.5 weeks)

●BCH codes over finite fields. (1.5 weeks)

●Introduction to cryptography; historical cryptosystems and cryptanalysis. (1.5 weeks)

●Symmetric key systems, DES and AES. (2 weeks)

●Public-key cryptosystems (RSA, ElGamal) with number-theoretic underpinnings. (3 weeks)

●Cryptographic protocols. (1 week)

Prerequisite: MA 351 or an equivalent linear algebra course with a grade of C or better.

Instructor: Professor Robert Vandell (vandellr (at) ipfw.edu; 260-481-6186)

Robert Vandell received a Ph. D. from Western Michigan University in 1996. His research in graph theory has interested him in coding theory.

Time and location: Mondays and Wednesdays, 4:30-5:45 p.m., starting August 25, in Kettler 218.

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Text: *Applied Linear Statistical Models*, special 5th edition, by Kutner, Nachtsheim, Neter, and Li. (This text consists of several chapters from the standard 5th edition.)

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

Instructor: Yihao Deng, Ph. D. (dengy (at) ipfw.edu ; (260)-481-4185)

Yihao Deng joined the faculty in fall 2006, after receiving his Ph.D. in statistics from Old Dominion University. His areas of specialization include longitudinal data analysis, regression analysis, and generalized linear models. He has done consulting work on leadership and organizational change, youth violence prevention, adolescent ADHD, and other topics.

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This course is an introduction to probability as a foundation for statistics. Topics include sample spaces and random variables; joint, conditional, and marginal distributions, special discrete and continuous distributions; moment generating functions, distribution of functions of random variables; limit theorems.

Text: *An Introduction to Probability and Statistical Inference* by George Roussas.

Prerequisite: Multivariable calculus. 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: 6-7:15 p.m. Mondays and Wednesdays in Kettler 218, starting August 25.

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.