Mathematical Structures in Neuroscience

Course Notes, 2014-2015

Jonathan Victor

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

Introduction

Notes for 1/21/15 download (10 pgs) first posted 1/21/15

Groups, Fields, and Vector Spaces

Notes for 1/28/15 download (10 pgs) first posted 1/21/15
Homework for 1/28/15 questions first posted 1/21/15, minor modification 1/28/15, answers first posted 2/1/15
Notes for 2/4/15, 2/11/15, and 2/25/15 download (19 pgs) first posted 2/1/15, minor modification 2/8/15
Homework for 2/4/15 questions first posted 2/1/15, answers first posted 2/8/15, minor modification 2/11/15
Homework for 2/11/15 questions first posted 2/8/15, answers first posted 2/11/15

Linear Transformations and Group Representations

Notes for 2/25/15 through 3/18/15 download (27 pgs) first posted 2/12/15, minor modifications 3/5/15, 3/12/15
Homework for 2/25/15 questions first posted 2/26/15, answers first posted 2/26/15
Homework for 3/4/15 questions first posted 3/5/15, answers first posted 3/5/15
Homework for 3/11/15 questions first posted 3/12/15, answers first posted 3/12/15
Homework for 3/18/15 questions first posted 3/19/15, answers first posted 3/19/15

Linear Systems, Black Boxes, and Beyond

Notes for 4/1/15 through 4/29/15 download (31 pgs) first posted 4/2/15 (with some fixes from what was emailed earlier)
Homework for 4/1/15 questions first posted 4/2/15, answers first posted 4/2/15
Homework for 4/8/15 questions first posted 4/9/15, answers first posted 4/9/15
Homework for 4/23/15 questions first posted 4/9/24, answers first posted 4/9/24
Homework for 4/29/15 questions first posted 4/30/24, answers first posted 4/30/24

Multivariate Methods

Notes for 4/29/15 and 5/6/15 download (24 pgs) first posted 4/30/15, revised 5/7/15
Homework for 4/29/15 questions first posted 4/30/15, answers first posted 4/30/15
Homework for 5/6/15 questions first posted 5/7/15, answers first posted 5/7/15

Graph-Theoretic Methods

Notes for 6/17/15 download (23 pgs) first posted 6/17/15

Exam

Questions download (4 pgs) first posted 5/21/15
Answers download (7 pgs) first posted 6/11/15

Additional course notes, exercises, and exams

Home pages (with complete notes, homework exercises, exams) for prior years are here: 2003-2004, 2008-2009, 2010-2011, 2012-2013.