Syllabus
Lecture Time: WF 1:00 PM - 2:15 PM
Classroom: Vincent Hall 1
Instructor: Duane Nykamp
Office: 202 Vincent Hall
E-mail: nykamp@math.umn.edu
Phone: 625-0338
Office hours: T 12:30-1:30, W 10:00-11:00, F 11:00-12:00, or by appointment
Textbook: Spikes, decisions, and actions by Hugh R. Wilson. Note: This textbook is out of print. It can also be downloaded from the author's web page.
Grading scheme:
- Homework assignments 20%
- Midterm exam 30%
- Final project 20%
- Final exam 30%.
Homework: Homework from the textbook will be assigned most weeks. Some homework will involve computations using the computer program MATLAB and the scripts that are included with the textbook.
Prerequisites: The course will assume basic knowledge of ordinary differential equations and linear algebra, such as taught in Math 2243, 2373 or 2573.
Topics: The course will begin with an overview of ordinary differential equations, illustrated by examples from neuroscience. Using very simple neuron models, we will explore mechanisms through which networks of neurons can make computations. We will then develop more mathematical tools so that we can study more realistic models of neuron spiking and bursting, such as the Hodgkin-Huxley equations. As time permits, we will study synchronization of neurons, central pattern generators, and memory.
Final Project: The final project will be completed with groups of two or three students. Each group will choose one or two research articles in mathematical neuroscience and write a short paper (less than 3 pages) summarizing the main points. During the last week of class, each group will be given 10 minutes of class time to report their findings. Articles for the project must be approved by the instructor by the fifth week of class.
Grading Standards and Student Conduct: Students are expected to be familiar with University of Minnesota policies on grading standards and student conduct, including the consequences for students who violate standards of academic honesty.