# Martin V. Day - Teaching Experience

### Undergraduate Courses

- Freshman,
Sophmore Calculus
- Calculus
of Several Variables
- Advanced
Calculus
- Introduction
to Mathematical Proofs
- Introduction
to Real Analysis
- Intermediate
ODEs
- Numerical
Analysis
- Dynamical
Systems and Chaos
- Applied
Mathematics for Engineers

### Graduate Courses

- Matrix
Theory
- Real
Analysis
- ODEs
- Calculus
of Variations and Optimal Control
- Mathematics
for Financial Modeling
- Measure
and Integration for Probability
- Stochastic
Processes

### Teaching Materials Written or Created:

- Supplemental materials for Math 1206 Honors
(integral calculus): additional problems, discussion of logarithms and
exponentials, Matlab assignments.
- Matlab summary for Math 2114 Honors (Introduction to Linear Algebra).

- Materials for Math 5725, 5726 (Mathematics for Financial Modeling).
- An
Introduction to Proofs and the Mathematical
Vernacular, a
text for introducing post-calculus students to mathematical writing and
proofs. This is distributed at no cost under a Creative
Commons Attribution-Noncommercial-No Derivative Works 3.0 United States
License.
- A Mathematical Introduction to Markov Chains, a book-in-progress introducing Markov chains and processes built up from my various undergraduate course notes on stochastic processes.

- Math 6105 Lecture Notes (single semester presentation of probabilistic measure theory).
- Dynamics.m. An elementary package of Mathematica
commands for students to use in conjunction with Math 4254.
- A collection of Matlab commands for interactive
exploration of ordinary differential equations.