1. Syllabus

2. 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%

3. 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

4. NeurobiologyMathematics Anatomy of the Nervous SystemInformation Theory Physiology of the neuronLinear Systems Theory Biophysics of the synapseDynamical Systems Theory (Theoretical Project) Functions of several variables Mathematical Probability Theory

5. Theoretical Project (3 parts): 1.Inverse Function Theorem (Due: Jan 22 nd ) 2.Measure Space, Lebesgue’s Dominated Convergence theorem (Due: Feb 26 th ) 3.Birkhoff’s Pointwise Ergodic Theorem (Due: Mar 25 th ) Final Project: (Due Apr 15 th )