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This is the syllabus for the theoretical neuroscience course, including office hours, recommended textbooks, grading breakdown, and relevant journal articles. The course covers mathematical foundations, neural computation, anatomy of the nervous system, and more. Theoretical projects involve topics such as inverse function theorem and probability theory.
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Office Hours: Wednesdays 2:00 – 4:00 p.m. Website: ~arunava/Teaching/comp_neuro.html Text: Theoretical Neuroscience (Dayan & Abbott) Reference: Fundamental Neuroscience (Zigmond et al) Grading: Assignments: 30% Theoretical Project: 30% Final Project: 40%
Journals: (~arunava/neuro_journals.html) Mathematical: Neural Computation Journal of Computational Neuroscience Physica A Physics Rev Lett Biological: Journal of Neuroscience Science Nature / Nature Neuroscience Journal of Neurophysiology Proceedings of the National Academy of Science
Neurobiology Mathematics Anatomy of the Nervous System Information Theory Physiology of the neuron Linear Systems Theory Biophysics of the synapse Dynamical Systems Theory (Theoretical Project) Functions of several variables Mathematical Probability Theory
Theoretical Project (3 parts): • Inverse Function Theorem (Due: Jan 22nd) • Measure Space, Lebesgue’s Dominated Convergence theorem (Due: Feb 26th) • Birkhoff’s Pointwise Ergodic Theorem (Due: Mar 25th) • Final Project: (Due Apr 15th)