Mathematical Structures in Neuroscience

Course Notes, 2018-2019

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 1/24/19 download (10 pgs) first posted 1/24/19

Groups, Fields, and Vector Spaces

• Notes for 1/24/19 - 2/7/19 download (29 pgs) first posted 1/24/19, revised 1/31/19 and 2/7/19
• Homework for 1/24/19 (pages 1-6 of notes) questions first posted 1/24/19, answers
• Homework for 1/31/19 (pages 7-22 of notes) questions first posted 1/31/19, answers first posted 1/31/19
• Homework for 2/7/19 (pages 22-29 of notes) questions first posted 2/7/19, answers first posted 2/7/19

Linear Transformations and Group Representations

• Notes for 2/14/19 - 2/21/19 download (28 pgs) first posted 2/15/19, revised 2/20/19
• Homework for 2/14/19 (pages 1-10 of notes) questions first posted 2/15/19, answers first posted 2/15/19
• Homework for 2/21/19 (pages 10-17 of notes) questions first posted 2/22/19, answers first posted 2/22/19, revised 3/1/19
• Homework for 2/28/19 (pages 17-28 of notes) questions first posted 3/1/19, answers first posted 3/1/19

Linear Systems, Black Boxes and Beyond

• Notes for 3/7/19 - 3/14/19 download (32 pgs) first posted 3/1/19, revised 3/7/19
• Homework for 3/7/19 (pages 1-13 of notes) questions first posted 3/7/19, minor revision 3/15/19 answers first posted 3/7/19, minor revision 3/15/19
• Homework for 3/14/19 (pages 14-32 of notes) questions first posted 3/15/19 answers first posted 3/15/19

Multivariate Analysis: Regression, PCA, MDS, ICA

• Notes for 3/21/19 - 3/28/19 download (24 pgs) first posted 3/15/19, revised 3/22/19
• Homework for 3/21/19 (pages 1-17, 20-24 of notes) questions first posted 3/22/19 answers first posted 3/22/19

Graph-theoretic Methods

• Notes for 3/28/19 download (18 pgs) first posted 3/22/19

Entropy and Information

• Notes for 4/11/19 download (17 pgs) first posted 4/11/19

Exam

• Questions download (7 pgs) first posted 5/9/19
• Answers download (17 pgs) first posted 5/28/19

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. 2014-2015. 2016-2017.

Exam 2004

• Questions download (2 pgs)
• Answers download (11 pgs)

Exam 2009

• Questions download (3 pgs)
• Answers download (10 pgs)

Exam 2011

• Questions download (5 pgs)
• Answers download (14 pgs)

Exam 2013

• Questions download (6 pgs)
• Answers download (16 pgs)

Exam 2015

• Questions download (4 pgs)
• Answers download (7 pgs)

Exam 2017

• Questions download (4 pgs)
• Answers download (12 pgs)

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