Mathematical Structures in Neuroscience

Course Notes, 2020-2021

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 1/07/21 download (11 pgs) first posted 12/29/20, revised 1/7/21

Groups, Fields, and Vector Spaces

• Notes for 1/07/21 - 1/28/21 download (33 pgs) first posted 12/29/20, last revised 1/22/21
• Homework for 1/7/21 (pages 1-5 of notes) questions first posted 1/7/21 answers first posted 1/14/21, revised 1/15/21
• Homework for 1/14/21 (pages 6-15 of notes) questions first posted 1/14/21 answers first posted 1/19/21, revised 1/21/21
• Homework for 1/21/21 (pages 15-25 of notes) questions first posted 1/21/21, revised 1/28/21 answers first posted 1/27/21, revised 1/28/21
• Homework for 1/28/21 (pages 26-33 of notes) questions first posted 1/28/21 answers first posted 1/28/21

Linear Transformations and Group Representations

• Notes for 1/28/21 - 2/18/21 download (29 pgs) first posted 1/21/21, last revised 2/14/21
• Homework for 1/28/21 (pages 1-2 of notes) questions first posted 1/28/21 answers first posted 2/03/21
• Homework for 2/04/21 (pages 2-14 of notes) questions first posted 2/04/21 answers first posted 2/10/21, revised 2/11/21
• Homework for 2/11/21 (pages 15-22 of notes) questions first posted 2/11/21 answers first posted 2/17/21, revised 2/18/21
• Homework for 2/18/21 (pages 23-26 of notes) questions first posted 2/18/21 answers first posted 2/24/21

Linear Systems and Black Boxes

• Notes for 2/18/21 - 3/04/21 download (35 pgs) first posted 2/17/21, last revised 3/04/21
• Homework for 2/18/21 (pages 1-13 of notes) questions first posted 2/18/21 answers first posted 2/24/21
• Homework for 2/25/21 (pages 14-21 of notes) questions first posted 2/25/21 answers first posted 3/03/21, revised 3/04/21
• Homework for 3/04/21 (pages 22-35 of notes) questions first posted 3/04/21 answers first posted 3/10/21, revised 3/11/21

Multivariate Methods, PCA, ICA

• Notes for 3/11/21 - 3/25/21 download (25 pgs) first posted 3/04/21, last revised 3/25/21
• Homework for 3/11/21 (pages 1-10 of notes) questions first posted 3/11/21 answers first posted 3/11/21, revised 3/18/21
• Homework for 3/18/21 (pages 11-20 of notes) questions first posted 3/18/21 answers first posted 3/24/21
• Homework for 3/25/21 (pages 20-25 of notes) questions first posted 3/25/21 answers first posted 3/31/21, revised 4/01/21

Graph-Theoretic Methods

• Notes for 4/15/21 - 4/29/21 download (22 pgs) first posted 4/01/21, last revised 4/22/21
• Homework for 4/15/21 (pages 1-6 of notes) questions first posted 4/15/21 answers first posted 4/21/21

Deep Learning Introduction

• Notes for 4/29/21 download (5 pgs) first posted 4/28/21

Exam

• Questions download (6 pgs) first posted 4/28/21
• Answers download (14 pgs) first posted 5/12/21

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, 2018-2019.

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)

Exam 2019

• Questions download (7 pgs)
• Answers download (17 pgs)

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