My Courses
At Colorado School of Mines I typically teach the following courses:
- MATH 331 Mathematical Biology
- MATH 332 Linear Algebra
- MATH 472/572 Mathematical and Computational Neuroscience
- MATH 501 Applied Analysis
Please note: the official course websites for my courses at Colorado School of Mines are available to students on Canvas.
Courses I have taught in the past at other institutions include the following:
- Calculus I and II
- Multivariable Calculus
- Differential Equations
- Intermediate Differential Equations and Dynamics
- Senior Capstone in Mathematics
Outreach: The Two-Process Model
In collaboration with Dr. Victoria Booth (University of Michigan) and former students Rebecca Gleit and Sean Lopp, I have developed outreach materials to introduce K-12 students and community members to mathematical modeling in the context of the Two-Process model for sleep regulation. This model, originally proposed by Borbely and colleagues in the 1980s, describes sleep timing as the dynamic interaction between a circadian modulation of sleep propensity (Process C) and a need to sleep that increases with time awake (Process S).The web-based simulator for the model allows interested individuals to use the model to simulate sleep-wake behavior in children, adolescents, and adults. In addition, this simulator provides an opportunity to explore parameter fitting more generally in the context of the Two-Process model.