Course MAT323

Topics in Mathematical Modeling - Mathematical Neuroscience

Draws problems from the sciences & engineering for which mathematical models have been developed and analyzed to describe, understand and predict natural and man-made phenomena.  Emphasizes model building strategies, analytical and computational methods, and how scientific problems motivate new mathematics.

This interdisciplinary course in collaboration with Molecular Biology, Psychology and the Program in Neuroscience is directed toward upperclass undergraduate students and first-year graduate students with knowledge of linear algebra and differential equations. For PACM students, the course can provide a vehicle for independent work.

Topics

Topics will range across the physical sciences and biology, including cognitive science and neurobiology. Model building strategies: analytical and computational methods; the manner in which applications motivate mathematical developments.

Description of classes

Classes meet Monday and Wednesday.

Notes

Suggested Reading: Differential Equations, Dynamical Systems, and an Introduction to Chaos by Hirsch, Morris W., et al.

There will be approximately six take-home problem assignments along with a final substantial paper on an independent project, and a final oral report.

FAQ

Take Home Final Exam - 25%
Oral Presentation(s) - 10%
Problem set(s) - 65%