Mathematical Structures in Neuroscience

Course Notes, 2008-2009

Jonathan Victor

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These are scanned notes used in class, along with homework questions and solutions from this year and previous years. Apologies for inaccuracies and penmanship. All rights reserved.

Groups, Fields, and Vector Spaces

Algebraic Overview

Linear Systems Theory

Noise and Variability

Nonlinear Systems Theory

Multivariate Methods


Additional course notes, exercises, and exam from 2003-2004

Groups, Fields, and Vector Spaces

Eigenvectors, Eigenvalues, Inner Products

Group Representations

Fourier Analysis: Application to Linear Systems Theory

Point Processes

Ensembles, Estimators, and Gaussians

Power Spectra

Entropy and Information (Selected Topics)