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.
Summer, 2006
Spring, 2006
Summer, 2005
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 teamtaught with
Dr.
Riedl.
He introduced his recent work on ascending central series
of pgroups, 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 finitelygenerated abelian groups, or "abstract nonsense"
(a technical term that I did not make up).
Fall, 2003
 3450:411/511 Abstract Algebra I
Spring, 2003
 3450:135002
Mathematics for Liberal Arts (MWF 1:102:00).
(The textbook has a
web page.)
 3450:489/589003
Algebraic Number Theory (MW 2:153:30).
 3450:692 Seminar in Mathematics: Small Finite Groups
 3450:692 Seminar in Mathematics: Abstract Algebra
 3450:697 Individual Reading
Fall, 2002
Spring, 2002
Fall, 2001
Spring, 2001
 3450:135002 Mathematics for Liberal Arts (MWF 12:0512:55).
 3450:208080 Introduction to Discrete Mathematics (MW 6:057:45).
 3450:498 Senior Honors Project: Applications of Algebraic Topology
Fall, 2000
 3450:135001
Math for Liberal Arts (MWF 12:0512:55).
 3460:418/518080 Discrete Structures (MW 6:407:55).
 3450:489002 Topics in Mathematics: Algebraic Topology
Spring, 2000
 3450:135002 Math for Liberal Arts (MWF 12:0512:55).
 3450:210002 Calculus with Business Applications (MWF 11:0011:50).
Fall, 1999
 3450:135080 Math for Liberal Arts (MW 5:106:25pm).
 3450:513080 Theory of Numbers (MW 6:407:55pm)
Spring, 1999
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)
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