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).   The course still exists only as Stat 6105.
• 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.