Mathematical Structures in Neuroscience

Course Notes, 2012-2013

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 1/23/13 download (7 pgs) first posted 1/21/13

Groups, Fields, and Vector Spaces

• Notes for 1/23/13 and 1/30/13 download (10 pgs) first posted 1/21/13
• Homework for 1/23/13 questions first posted 1/21/13, minor revision 5/29/13, answers first posted 1/28/13

• Notes for 1/30/13 through 2/13/13 download (19 pgs) first posted 1/28/13, revised 2/14/13
• Homework for 1/30/13 questions first posted 1/28/13, revised 2/6/13, answers first posted 1/28/13, revised 2/6/13
• Homework for 2/6/13 (none)
• Homework for 2/13/13 questions Q1 and Q2 first posted 2/6/13, revised 2/14/13 answers first posted 2/6/13, revised 2/14/13

Linear Transformations and Group Representations

• Notes for 2/13/13 through 3/6/13 download (27 pgs) first posted 2/14/13, additions 2/28/13 (page 9, re triangle inequality)
• Homework for 2/13/13 question Q3 first posted 2/14/13 answers first posted 2/14/13
• Homework for 2/20/13 questions first posted 2/20/13 answers first posted 2/20/13
• Homework for 2/27/13 questions first posted 2/27/13 answers first posted 2/27/13
• Homework for 3/6/13: none (but see example beginning on page 23 of notes)

Linear Systems and Signals, Noise, Point Processes

• Notes 3/13/13 through 4/17/13 download (30 pgs) first posted 3/6/13, updated 4/19/13, minor revision 5/29/13
• Homework for 3/13/13 questions first posted 3/13/13 answers first posted 3/13/13
• Homework for 4/10/13 questions first posted 4/11/13 answers first posted 4/11/13
• Homework for 4/17/13 questions first posted 4/19/13 answers first posted 4/19/13

Graph-Theoretic Methods

• Notes 4/24/13 through 5/8/13 download (23 pgs) first posted 4/19/13, substantially revised 4/23/13, minor revisions 4/24/13 and 5/1/13
• Homework for 4/24/13 questions first posted 4/24/13 answers first posted 4/24/13
• Homework for 5/1/13 questions first posted 5/1/13 answers first posted 5/1/13

Exam

• Questions download (6 pgs) first posted 5/29/13
• Answers download (16 pgs) first posted 6/10/13

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.

Exam 2004

• Questions download (2 pgs) first posted 3/30/04
• Answers download (11 pgs) first posted 5/11/04

Exam 2009

• Questions download (3 pgs) first posted 2/25/09
• Answers download (10 pgs) first posted 3/28/09

Exam 2011

• Questions download (5 pgs) first posted 5/29/11
• Answers download (14 pgs) first posted 6/22/11

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