# What I've taught

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

### 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.

### 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.

### 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 will study 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

### 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)

### 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)

### Winter, 1994

• Math 111: Studies in Mathematics 2 (at the University of Chicago)

### Spring, 1994

• Math 110: Studies in Mathematics (at the University of Chicago)

### Fall, 1993

• Math 110: Studies in Mathematics (at the University of Chicago)

### Spring, 1992

• Math 110: Studies in Mathematics (at the University of Chicago)

### Fall, 1991

• Math 111: Studies in Mathematics 2 (at the University of Chicago)

### Spring, 1991

• Math 110: Studies in Mathematics (at the University of Chicago)

### Fall, 1990

• Math 111: Studies in Mathematics 2 (at the University of Chicago)