Applied Mathematics 41 (APMA 0410) — Mathematical Methods in the Brain Sciences
Fall 2008
Course Materials
Last updated October 1, 2008, 1:30 pm
READING ASSIGNMENT for Monday October 6
HW 2 Due September 24 Solutions
HW 1 Due September 17 Solutions
Class 13 – Oct 1, 2008 |
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Geometric Distribution geometric_distr.m Review of Properties of Means and Variances |
Class 12 – Sept 29, 2008 |
Class 11 – Sept 26, 2008 |
Class 10 – Sept 24, 2008 |
Class 9 – Sept 22, 2008 |
Class 8 – Sept 19, 2008 |
Class 7 – Sept 17, 2008 |
Class 6 – Sept 15, 2008 |
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Conditional Probabilities (continued) |
Class 5 – Sept 12, 2008 |
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birthdays.m (computes the probability that no two people in a room with n people have the same birthday). |
Class 4 – Sept 10, 2008 |
Class 3 – Sept 8, 2008 |
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Probabilities
and Random Variables |
Class 2 – Sept 5, 2008 |
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Preview of Matlab Attractions
2.1 Linear_System.m 2.2 The Hodgkin-Huxley model
o Wikipedia on Sir Andrew Huxley
o Wikipedia on Hodgkin-Huxley model
o The following figures are from Computational Neuroscience, Dayan and Abbott 2001:
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Class 1 – Sept 3, 2008 |
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o Organizational matters (see Information Sheet). o Asking whether a neuron fired in a given millisecond is a random experiment. o Flipping a coin (whether fair or biased) is also a random experiment. o Neuron firing and coin flipping involve two very different types of randomness. Yet both are captured adequately in a single mathematical framework. o General remarks on applied math, probability and differential equations: conciseness, generality, explanatory power, predictive power. |
Information Sheet (includes syllabus)
Lecture
MWF 2:00-2:50, J Walter Wilson 301
Instructor
Elie Bienenstock email: my_first_name AT brown PERIOD edu