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Teaching Statement
Student Comments by Course
Teaching and Advising:

Master of Science in Mathematics thesis committee member for R G Hanus. Title: SturmLiouville Theory and Quantum Mechanics. Thesis committee chairman, L H Thurston. March 2008 
NSF STEP program advisor. May 2008
Title: Partial Differential Equations and Flow Streamlines in Mathematica. 

Applied Algebra 
Course description, syllabus and final.
Final exam from a similar course taught at Stonehill


Precalculus 
Student Feedback 

Applied Calculus for Business 
A syllabus, an exam, and the final.


Calculus for Biology I & II 
Course description 

Calculus I, II, and III 
Materials:
Calc I exam,
Calc I final,
Calc I final,
Calc II exam,
Calc III exam,
Calc III Green's Theorem Handout,
Calc III final
Student feedback
In order to illustrate the product integral interpretation of the exponential function, I gave an
undergraduate seminar extending the ideas to the case in which the factors do not commute. Some animations are at right.
Seminar handout.

Larmor Precession

New integral curves

Integral Curves

Differential Equations

A handout illustrating the variation of parameters formula is at right.

Handout

Here is an animation of three coupled harmonic oscillators. This was also done in Mathematica. 
Animation

At right the wave equation on a line segment with zero boundary conditions is solved for a delta function initial condition for the position and zero for the initial velocity. 
Animation

At right the heat equation on a line segment with zero boundary conditions is solved for a delta function initial condition. 
Animation

A differential equations
quiz,
exam1,
exam2,
Taylor series review handout,
final.
Student Feedback


Linear Algebra

Syllabus,
quiz,
final.
Student Feedback


Finite Mathematics

Course description For a while I have tried to help students learn proofs by using examples from this discipline. We used Rosen's book. I have also tried with this. 

Real and Complex Analysis 
Some homework,
quiz1, another
quiz1,
quiz3,
quiz5,
quiz6,
a final
and another final.
As an application of a theorem in Rudin's book concerning differentiating under the integral sign (a favorite trick of Feynman), I gave a little seminar on the elliptic functions in which I computed the Taylor series of these functions by differentiating the arclength integral. I wrote very brief notes that I include here.
For complex analysis, a written up
lecture, and an
exam.
I have taught reals from Rudin's
Principles of Mathematical Analysis and Folland's
Advanced Calculus.
For Complex, I taught from Ahlfors.
Student Feedback 

Mathematical Probability and Statistics

We used Larsen and Marx. Here is a quiz, quiz, quiz, quiz and final, quiz.
Student Feedback 

Numerical Analysis

Syllabus
Maple Handout
Exam
Student Feedback


Quantum Mechanics

We once used Mathematica to illustrate the timedependent Schrödinger equation for a particle in a box, animating the modulussquared of the wave function.
A related seminar handout and accompanying Mathematica notebook
Proposal (accepted).
Syllabus. 
Particle evolution.

Seminar in Applied Math, Partial Differential Equations

Course Announcement In these courses, we used this PDE book. Variously we went through the PDE from geometry or applied math as interest indicated. At right we have a Bessel function exercise done in Mathematica. 
Drum hit half radius
