Mathematical Structures in Neuroscience

Course Notes, 2022-2023

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 8/25/22 download (11 pgs) first posted 8/24/22, revised 8/25/22

Groups, Fields, and Vector Spaces

• Notes for 9/1/22 - 9/15/22 download (34 pgs) first posted 8/25/22, last revised 9/15/22
• Homework for 9/1/22 (pages 1-15 of notes) questions first posted 9/1/22 answers first posted 9/8/22
• Homework for 9/8/22 (pages 16-29 of notes) questions first posted 9/8/22 answers first posted 9/15/22
• Homework for 9/15/22 (pages 30-34 of notes) questions first posted 9/15/22 answers first posted 9/22/22

Linear Transformations and Group Representations

• Notes for 9/15/22 - 9/29/22 download (31 pgs) first posted 9/8/22, last revised 9/29/22
• Homework for 9/15/22 (pages 1-7 of notes) questions first posted 9/15/22 answers first posted 9/22/22
• Homework for 9/22/22 (pages 8-19 of notes) questions first posted 9/22/22 answers first posted 9/29/22
• Homework for 9/29/22 (pages 20-31 of notes) questions first posted 9/29/22 answers first posted 9/29/22

Linear Systems, Black Boxes, and Beyond

• Notes for 10/13/22 and 10/27/22 download (36 pgs) first posted 10/13/22, last revised 10/30/22
• Homework for 10/13/22 (pages 1-15 of notes) questions first posted 10/13/22 answers first posted 10/13/22
• Homework for 10/27/22 (pages 16-36 of notes) questions first posted 10/30/22 answers first posted 10/30/22

Dynamical Systems (J. Drover)

Multivariate Methods

• Notes for 12/08/22 and beyond download (26 pgs) first posted 12/08/22
• Persistent homologies intro (from 2020-2021) download (22 pgs) see pages 18-22

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. 2020-2021.

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)

Exam 2021

• Questions download (6 pgs)
• Answers download (14 pgs)

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