What I've taught
Note: Links associated to old courses might not work.
Fall, 2014
 MATH 221004 Calculus 1!,
MTh 1:102:25 in Ward 304; W 1:102:10 KSB T61.
We used
Piazza
for announcements, online discussions, etc.
and
WeBWorK
for most of our homework.
If you're not on campus, you need to set up a VPN connection to the university
in order to use this latter system.
Sorry.
Here are some instructions for that.
Spring, 2014
 MATH 310002 Linear Algebra!,
MTh 1:102:25, Hurst 208.
We used
Piazza
for announcements, online discussions, etc.
Fall, 2013
 MATH 222001 Calculus 2,
TWF at 10:20, Hurst 210.
Textbook: Your choice!
We will use
Piazza
for online discussions and polls,
and
WeBWorK
for most of our homework.
If you're not on campus, you need to set up a VPN connection to the university
in order to use this latter system.
Sorry.
Here are some instructions for that.
Spring, 2013
 MATH 222002H Calculus 2,
MWTh at 11:45, Hurst 208.
Textbook: Your choice!
We used
WeBWorK
for most of our homework.
If you're not on campus, you need to set up a VPN connection to the university.
Sorry.
Here are some instructions for that.
Fall, 2012
 MATH 221003H Calculus 1,
TWF at 11:45 in Hurst 209.
Textbook: Your choice!
We used
WeBWorK
for much of our homework.
Spring, 2012
MATH 222002 and 004 Calculus 2,
MWTh at 11:45,
Hurst 205.
We used
WeBWorK
for much of our homework.
Fall, 2011
MATH 221004 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 221002 Calculus 1,
TF 2:10pm3:25pm, W 2:10pm2:10pm,
Ward 202.
We used
WeBWorK
for much of our homework.
 MATH 222001 Calculus 2 Honors,
TF 11:20am12:35pm, W 11:20am12:20pm,
Hurst 104.
We used
WeBWorK
for much of our homework.
 MATH 690001 Advanced Linear Algebra,
an independent study course for Philip Gautier.
We had statistical applications in mind.
 MATH 590006 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 155004 Elementary Mathematical Modeling,
TF 11:2012:35,
Hurst 205.
 MATH 512001 Modern Algebra,
TTh 6:45pm8:00pm,
Gray 104.
We studied what's going on behind the scenes.
Spring, 2010
 MATH 222001H Calculus 2 Honors,
MTh 11:20am12:35pm, W 11:20am12:20pm,
McKinley 204B.
We used
WeBWorK
for most of our homework.
Fall, 2009
 MATH 221003H Calculus I Honors,
TF 11:20am12:35pm, W 11:20am12:20pm,
Ward 305.
We used
WeBWorK
for some of our homework.
 MATH 512001 Modern Algebra, TTh 6:458:00pm, 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 222001 Calculus II Honors,
MTh 11:20am12:35pm, W 11:20am12:20pm.
We used
WeBWorK
for some of our homework.
 MATH 513001 Rings 'n' Fields, TTh 6:458:00pm,
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 590002 Padic Analysis,.
This was an independentstudy course for Erik Borke.
Fall, 2008
 MATH 221002 Calculus I Honors,
TF 11:20am12:35pm, W 11:20am12:20pm,
Ward 205.
We used
WeBWorK
for some of our homework.
 MATH 512001 Modern Algebra, TTh 6:458:00pm,
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 12:452:00pm, W 12:451:45pm.
We tried out
WeBWorK.
 Linear Algebra. MTh 2:103:25pm.
During the Spring term of 2008, I
lost a bet with my Calculus 2 section.
Fall, 2007
 Calculus I. MTh 9:5511:10am, W 9:5510:55am.
 Linear Algebra. MTh 2:103:25pm.
Except when otherwise specified, I taught the courses listed
below this line at the University of Akron.
Summer, 2007
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
Spring, 2006

Linear
Algebra (MAT223S)
at the University of Toronto.

Master's thesis research with Mike Garlow, coadvised by Ethel Wheland:
An elementary classification of the groups
of order 81.
We later generalized this to handle the groups of order p^{4}
for 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 FibonacciLucas 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 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)
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.
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