Thomas M. Fiore

Classes, Student Projects, Talks for Undergraduates

Next Classes

Calculus III, Math 215, Fall 2013, University of Michigan-Dearborn.
Section 001, M 10:20 am - 11:10 am in 2062 CB, WF 9:55 am - 11:10 am in 2062 CB.

Introduction to Differential Equations, Math 216, Fall 2013, University of Michigan-Dearborn.
Section 001, MWF 11:30 am - 12:20 pm in 1043 CB.

Mathematical Statistics I, Math 325, Fall 2013, University of Michigan-Dearborn.
Section 001, MWF 1:50 pm - 2:40 pm in 2070 CB.

Previous Classes

Calculus II, Math 116, Fall 2012, University of Michigan-Dearborn.
Section 003, M 11:30 am - 12:20 pm in 2046 CB, WF 11:30 am - 12:45 pm in 2062 CB.

Introduction to Differential Equations, Math 216, Fall 2012, University of Michigan-Dearborn.
Section 002, MWF 1:50 pm - 2:40 pm in 2063 CB.

Linear Algebra, Math 413/513, Fall 2012, University of Michigan-Dearborn.
MWF 9:10 am-10:00 am in 1096 CB.

A First Course in Modern Algebra, Math 412, Winter 2012, University of Michigan-Dearborn.
MTTh 9:10 am-10:00 am in 2063 CB.

Calculus III, Math 215, Winter 2012, University of Michigan-Dearborn.
Section 001, M 1:50 pm-2:40 pm in 2063 CB, TTh 1:05 pm-2:20 pm in 2063 CB.

Linear Algebra, Math 413/513, Fall 2011, University of Michigan-Dearborn.
MTTh 9:10 am-10:00 am in 1088 CB.

Calculus II, Math 116, Fall 2011, University of Michigan-Dearborn.
Section 004, M 11:30 am-12:20 pm in 2070 CB, TTh 11:30 am-12:45 pm in 2048 CB.

Calculus I, Math 115, Fall 2010, University of Michigan-Dearborn.
Section 008, M 11:30 am-12:20 pm in 2046 CB, TTh 11:30 am-12:45 pm in 2063 CB.

Calculus I, Math 115, Fall 2010, University of Michigan-Dearborn.
Section 010, M 4:10-5:00 pm in 2048 CB, TTh 4:35-5:50 pm in 2063 CB.

Introduction to Topology, Math 492/592, Winter 2010, University of Michigan-Dearborn.
MWF 11:30-12:20 in 2063 CB.

Calculus I, Math 115, Winter 2010, University of Michigan-Dearborn.
Section 003, MW 9:55-11:10 am in 2070 CB and F 10:20-11:10 am in 2048 CB.

Calculus I, Math 115, Fall 2009, University of Michigan-Dearborn.
Section 007, M 1:05-1:55 pm in 221 SB, TTh 1:05-2:20 pm in 2046 CB.

Calculus I, Math 115, Fall 2009, University of Michigan-Dearborn.
Section 010, M 4:10-5:00 pm in 2048 CB, TTh 4:35-5:50 pm in 2062 CB.

Introduction to Algebraic Topology, Math 263, Spring 2009, University of Chicago.

Basic Algebra I, Math 254, Autumn 2008, University of Chicago.

Mathematical Methods for Physical Sciences II, Math 201, Spring 2007, University of Chicago.

Introduction to Differentiable Manifolds and Integration on Manifolds, Math 274, Spring 2007, University of Chicago.

Calculus II, Math 116, Fall 2003, University of Michigan.

Recitation, Calculus III, Math 215, Fall 2002, University of Michigan.

Calculus I, Math 115, Winter 2001, University of Michigan.

Precalculus, Math 105, Fall 2000, University of Michigan.

Student Projects

I mentored the following student projects.

Amanda Bower, Category Theory and Galois Theory, Fall 2012, UM-Dearborn.
Published in the Rose-Hulman Undergraduate Mathematics Journal, Volume 14, Number 1, Spring 2013.

Amanda Bower, The Fundamental Group and Brouwer's Fixed Point Theorem (paper) and (poster, huge file!), Winter 2012, UM-Dearborn.

Brad Trotter, Word theory and the musical scale, UChicago REU 2009.

Christopher Wood, Abstracting tonality: triads and uniform triadic transformations in an atonal context, UChicago REU 2009.

Kenneth Oshita, The hexatonic systems under neo-Riemannian theory: an exploration of the mathematical analysis of music, UChicago REU 2009.

Adam Koss, A comparison of the graphs of the chromatic and diatonic scales, UChicago REU 2009.

Padraic Bartlett, Triads and topos theory, UChicago REU 2007.

Hannah Gordon, The neo-Riemannian group, UChicago REU 2007.

John Sternberg, Conceptualizing music through mathematics and the generalized interval system, UChicago REU 2006.

One student, inspired by my REU lectures, wrote his paper entirely independently:

Milan Kidd, An introduction to the practical use of music-mathematics, UChicago REU 2006.

Talks for Undergraduates

Students may be interested in My Webpage on Mathematical Music Theory.

2009 REU: Five Lectures on Mathematical Music Theory.
University of Chicago, July 6th-10th, 2009.
Slides, Problems, and other Material.

Group Actions in neo-Riemannian Music Theory.
Kalamazoo College, January 21st, 2009.
Mathematics Colloquium.
Slides pdf.

Group Actions in neo-Riemannian Music Theory.
Wayne State University, November 10th, 2008.
Mathematics Colloquium.
Slides pdf.

2007 REU: Seven Lectures on Mathematical Music Theory.
University of Chicago, July 16th-26th, 2007.
Slides, Problems, and other Material.

Topology and Algebra in Music Theory.
University of Pittsburgh, November 20th, 2006.

Topology and Algebra in Music Theory.
Pennsylvania State University Altoona, November 17th, 2006.
Pennsylvania State University Altoona, Colloquium.

Topology and Algebra in Music Theory.
University of Chicago, November 7th, 2006.

2006 REU: Four Lectures on Mathematical Music Theory.
University of Chicago, July 5th, 7th, 11th, and 13th, 2006.
Slides, Problems, and other Material.

Beethoven and the Torus.
University of Michigan Undergraduate Math Club, October 14th, 2004.
Slides dvi, pdf, ps
Musical examples can be found on my Music page.

Three Multi-Media lectures on Mathematics and Music
Math 107 Winter 2003, University of Michigan.
Lecture Notes pdf, ps.