# What I’ve taught

Note: Links associated to old courses might not work.

### Spring, 2020

*MATH-221 Calculus 1*.*MATH-222 Calculus 2*.

### Fall, 2019

*MATH-221 Calculus 1*.*MATH-420/620 Introduction to Analysis*

### Spring, 2019

*MATH-221 Calculus 1*.

### Fall, 2018

*MATH-221 Calculus 1*.*MATH-222 Calculus 2*.

### Spring, 2018

*MATH-221 Calculus 1*.*MATH-222 Calculus 2*.

### Fall, 2017

*MATH-221 Calculus 1*.*MATH-222 Calculus 2*.

### Spring, 2017

*MATH-221 Calculus 1*.*MATH-222 Calculus 2*.

### Fall, 2016

*MATH-221 Calculus 1*.*MATH-310 Linear Algebra*.

### Spring, 2016

*Representations of p-adic GL(2)*, a nine-hour graduate course at the Indian Institute for Science Education and Research, Pune.

### Spring, 2015

*HNRS-301-002 Game Theory, Infinity, and Fractals*, MTh 10:20-11:35 in Hughes 102. We used Piazza for announcements, on-line discussions, etc.

### Fall, 2014

*MATH 221-004 Calculus 1!*, MTh 1:10-2:25 in Ward 304; W 1:10-2:10 KSB T61. We used Piazza for announcements, on-line discussions, etc. and WeBWorK for most of our homework.

### Spring, 2014

*MATH 310-002 Linear Algebra!*, MTh 1:10-2:25, Hurst 208. We used Piazza for announcements, on-line discussions, etc.

### Fall, 2013

*MATH 222-001 Calculus 2*, TWF at 10:20, Hurst 210. Textbook: Your choice! We used Piazza for on-line discussions and polls, and WeBWorK

for most of our homework.

### Spring, 2013

*MATH 222-002H Calculus 2*, MWTh at 11:45, Hurst 208. Textbook: Your choice! We used

WeBWorK for most of our homework.

### Fall, 2012

*MATH 221-003H Calculus 1*, TWF at 11:45 in Hurst 209. Textbook: Your choice! We used WeBWorK for much of our homework.

### Spring, 2012

*MATH 222-002 and 004 Calculus 2*, MWTh at 11:45, Hurst 205. We used WeBWorK for much of our homework.

### Fall, 2011

*MATH 221-004 Calculus 1 Honors*, MWTh at 1:10, in rooms in McKinley Hall that vary by the day of the week. We used WeBWorK for much of our homework.

### Summer, 2011

Prof. Lansky and I, with help from Prof. Hakim, ran a research project for Michael Cassel, Emma Morgan, and Yifei Zhao on *Character relations for finite reductive groups*. Here is the result.

### Spring, 2011

*MATH 221-002 Calculus 1*, TF 2:10pm-3:25pm, W 2:10pm-2:10pm, Ward 202. We used WeBWorK for much of our homework.*MATH 222-001 Calculus 2 Honors*, TF 11:20am-12:35pm, W 11:20am-12:20pm, Hurst 104. We used WeBWorK for much of our homework.*MATH 690-001 Advanced Linear Algebra*, an independent study course for Philip Gautier. We had statistical applications in mind.*MATH 590-006 Rings ‘n’ Fields*, an independent study course for Yifei Zhao. We studied a collection of topics that all lead to the Fundamental Theorem of Algebra.

### Fall, 2010

*MATH 155-004 Elementary Mathematical Modeling*, TF 11:20-12:35, Hurst 205.*MATH 512-001 Modern Algebra*, TTh 6:45pm-8:00pm, Gray 104. We studied what’s going on behind the scenes.

### Spring, 2010

*MATH 222-001H Calculus 2 Honors,*MTh 11:20am-12:35pm, W 11:20am-12:20pm, McKinley 204B. We used WeBWorK for most of our homework.

### Fall, 2009

*MATH 221-003H Calculus I Honors,*TF 11:20am-12:35pm, W 11:20am-12:20pm, Ward 305. We used WeBWorK for some of our homework.*MATH 512-001 Modern Algebra,*TTh 6:45-8:00pm, Gray 104. We studied what’s going on behind the scenes of everything, almost.

### Summer, 2009

*Symmetry groups*, an undergraduate research project by Brian Waligorski.

### Spring, 2009

*MATH 222-001 Calculus II Honors,*MTh 11:20am-12:35pm, W 11:20am-12:20pm. We used WeBWorK for some of our homework.*MATH 513-001 Rings ‘n’ Fields,*TTh 6:45-8:00pm, Gray 104. We continue with our study of what’s going on behind the scenes of everything, concluding with the solutions to some problems that stood open for centuries.*MATH 590-002 P-adic Analysis,*. This was an independent-study course for Erik Borke.

### Fall, 2008

*MATH 221-002 Calculus I Honors,*TF 11:20am-12:35pm, W 11:20am-12:20pm, Ward 205. We used WeBWorK for some of our homework.*MATH 512-001 Modern Algebra,*TTh 6:45-8:00pm, Gray 104. This is the study of what’s going on behind the scenes of everything, almost.

### Summer, 2008

*Factorization methods*, an undergraduate research project by Hamman Samuel. We work remotely, as he is at the American University of Nigeria.*Limits of groups, and infinite Galois theory*, an undergraduate research project by Erik Borke.

### Spring, 2008

*Calculus II.*MTh 12:45-2:00pm, W 12:45-1:45pm. We tried out WeBWorK.*Linear Algebra.*MTh 2:10-3:25pm.

During the Spring term of 2008, I lost a bet with my Calculus 2 section.

### Fall, 2007

*Calculus I.*MTh 9:55-11:10am, W 9:55-10:55am.*Linear Algebra.*MTh 2:10-3:25pm.

Except when otherwise specified, I taught the courses listed below this line at the University of Akron.

### Summer, 2007

- Research Experiences for Undergraduates, a program sponsored by the National Science Foundation. I didn’t run a research project this summer. Instead, I ran the program as a whole.

### Spring, 2007

*3450:307 Fundamentals of Advanced Mathematics.*We studied logic, sets, relations, functions, limits, etc., all with an eye for learning how to do proofs… and seeing why proofs matter.- Master’s thesis research with Niklos Holik: Nonstandard hulls of groups.

### Fall, 2006

*3450:411/511 Abstract Algebra I.*We studied what’s been going on behind the scenes.*3450:611 Topics in Algebra.*We studied group actions, modules, and canonical forms.

### Summer, 2006

- Research Experiences for Undergraduates, a program sponsored by the National Science Foundation. Together with Dr. Palagallo, I supervised a project on
*Self-similar tilings of nilpotent Lie groups*.

### Spring, 2006

- Linear Algebra (MAT223S) at the University of Toronto.
- Master’s thesis research with Mike Garlow, co-advised by Ethel Wheland:
*An elementary classification of the groups of order 81*. We later generalized this to handle the groups of order*p*for^{4 }*p*an odd prime.

### Summer, 2005

- Research Experiences for Undergraduates, a program sponsored by the National Science Foundation. Together with Dr. Price, I supervised a project on
*Generalized Fibonacci-Lucas pairs*. Together with Dr. Levin (in the history department), I supervised a project on*Reading encrypted diplomatic correspondence*. The results of this latter project have now been published.

### Spring, 2005

*3450:412/512 Abstract Algebra II.*We continued with the study of groups, rings, and fields. Our aim was to solve some of the great mathematical problems of antiquity. You can read the course rules and course plan (which lists most of the homework assignments).

### Fall, 2004

*3450:135 Excursions in Mathematics*. (This course was previously called*Mathematics for Liberal Arts*.) Need to take a math course? This one is different from any that you have ever taken before. Check out the course materials to see if it is right for you. (The textbook also has a web page of its own.)*3450:411/511 Abstract Algebra I.*We studied what’s been going on behind the scenes.

### Spring, 2004

*3450:135 Mathematics for Liberal Arts*. This course has since been renamed:*Excursions in Mathematics*.*3450:412/512 Abstract Algebra II.*We continued with the study of groups, rings, and fields. Our aim was to solve some of the great mathematical problems of antiquity. You can read the course rules, and a draft of the course plan (which lists most of the homework assignments).*Graduate Seminar*. This was team-taught with Dr. Riedl. He introduced his recent work on ascending central series of p-groups, and then made you do some computations of your own. Then I covered the basic theory of modules, which simultaneously generalizes several theories that you have already seen. You then applied the theory to one of the following: representation theory, linear algebra, the classification of finitely-generated abelian groups, or “abstract nonsense” (a technical term that I did not make up).

### Fall, 2003

- 3450:411/511 Abstract Algebra I

### Spring, 2003

- 3450:135-002 Mathematics for Liberal Arts (MWF 1:10-2:00). (The textbook has a web page.)
- 3450:489/589-003 Algebraic Number Theory (MW 2:15-3:30).
- 3450:692 Seminar in Mathematics: Small Finite Groups
- 3450:692 Seminar in Mathematics: Abstract Algebra
- 3450:697 Individual Reading

### Fall, 2002

- 3450:135-002 Mathematics for Liberal Arts (MWF 1:10-2:00).
- 3450:149-007 Precalculus (MTWF 2:15-3:05).

### Spring, 2002

- 3450:135-002 Mathematics for Liberal Arts (MWF 12:05-12:55).
- 3450:221 Analytic Geometry-Calculus I (MTWF 8:50-9:45).
- 3450:692 Seminar in Mathematics: p-adic numbers
- 3450:697 Individual Reading

### Fall, 2001

- 3450:135-002 Mathematics for Liberal Arts (MWF 9:55-10:45).
- 3450:611-001 Topics in Algebra (MWF 11:00-11:50).

### Spring, 2001

- 3450:135-002 Mathematics for Liberal Arts (MWF 12:05-12:55).
- 3450:208-080 Introduction to Discrete Mathematics (MW 6:05-7:45).
- 3450:498 Senior Honors Project: Applications of Algebraic Topology

### Fall, 2000

- 3450:135-001 Math for Liberal Arts (MWF 12:05-12:55).

- 3460:418/518-080 Discrete Structures (MW 6:40-7:55).
- 3450:489-002 Topics in Mathematics: Algebraic Topology

### Spring, 2000

- 3450:135-002 Math for Liberal Arts (MWF 12:05-12:55).

- 3450:210-002 Calculus with Business Applications (MWF 11:00-11:50).

### Fall, 1999

- 3450:135-080 Math for Liberal Arts (MW 5:10-6:25pm).

- 3450:513-080 Theory of Numbers (MW 6:40-7:55pm)

### Spring, 1999

- 3450:489/589 Seminar on Chaos and Fractals
- 3450:149 Precalculus
- 3450:208 Discrete Mathematics

### Fall, 1998

- 3450:149 Precalculus
- 3450:208 Discrete Mathematics

### Spring, 1998

- MAT447S: Galois Theory (at the University of Toronto)
- MAT335S: Chaos, Fractals, and Dynamics (at the University of Toronto)

### Spring, 1997

- MAT335S: Chaos, Fractals, and Dynamics (at the University of Toronto)

I taught the courses listed below this line at the University of Chicago.

### Winter, 1994

- Math 111: Studies in Mathematics 2.

### Spring, 1994

- Math 110: Studies in Mathematics.

### Fall, 1993

- Math 110: Studies in Mathematics.

### Spring, 1992

- Math 110: Studies in Mathematics.

### Fall, 1991

- Math 111: Studies in Mathematics 2.

### Spring, 1991

- Math 110: Studies in Mathematics.

### Fall, 1990

- Math 111: Studies in Mathematics 2.