11-1100

DBN: Classes: 2011-12: 11-1100/Navigation # Week of... Notes and Links Additions to the MAT 1100 web site no longer count towards good deed points 1 Sep 12 About This Class, Tuesday - Non Commutative Gaussian Elimination, Thursday - NCGE completed, the category of groups, images and kernels. 2 Sep 19 I'll be in Strasbourg, class was be taught by Paul Selick. See my summary. 3 Sep 26 Class Photo, HW1, HW1 Submissions, HW 1 Solutions 4 Oct 3 The Simplicity of the Alternating Groups 5 Oct 10 HW2, HW 2 Solutions 6 Oct 17 Groups of Order 60 and 84 7 Oct 24 Extra office hours: Monday 10:30-12:30 (Dror), 5PM-7PM @ Huron 1028 (Stephen). Term Test on Tuesday. Summary for the midterm exam. Term Test - Sample Solutions 8 Oct 31 HW3, HW 3 Solutions 9 Nov 7 Monday-Tuesday is November Break, One Theorem, Two Corollaries, Four Weeks 10 Nov 14 HW4, HW 4 Solutions 11 Nov 21 12 Nov 28 HW5 and last week's schedule 13 Dec 5 Tuesday - the Jordan form; UofT Fall Semester ends Wednesday; our Final Exam took place on Friday Register of Good Deeds Add your name / see who's in! See Non Commutative Gaussian Elimination

Core Algebra I

Department of Mathematics, University of Toronto, Fall 2011

Agenda: Groups, rings, modules.

Course Highlights: We'll solve the Rubik's cube! We'll understand many groups of small order! We'll understand "Modules over PIDs"!

Instructor: Dror Bar-Natan, drorbn@math.toronto.edu, Bahen 6178, 416-946-5438. Office hours: by appointment.

Classes: Tuesdays 10-12 and Thursdays 10-11 in Bahen 6183.

Teaching Assistant: Stephen Morgan, stephen.morgan@utoronto.ca.

Texts

Lang's Algebra, Selick's lecture notes for this class, Dummit and Foote's Abstract Algebra, Hungerford's Abstract Algebra.

Further Resources

• Graduate Studies at the UofT Math Department. In particular, Graduate Course Descriptions.

• My 11-1100 notebook.

• My 2010 Class.

• Paul Selick's 2007 class (Errata).

• Some (mostly complete) notes from last year's class: 10-1100-Notes.

• Some blackboard shots start at BBS/11_1100-111024-110239.jpg.

Dror's notes above / Student's notes below

• Student solutions to homework problems: 11-1100/Homework Solutions.

• Student notes from class: 11-1100/Notes.

• Very cool video explaining how to visualize some concepts in group theory (User:jmracek): [1]

• Summary of the course (User: Lp.thibault): Summary of the course.

• Read Along on material covering Modules (Dummit Foote and Lang): User:Vanessa.foster

• A rough and ready Perl script for Computing GCDs over the Gaussian Integers. (I provide no proof of correctness, all faults are my own, etc. -- User:pgadey)

• Some Media:study_notes.pdf summarizing the proofs we did in class pertaining to rings (jmracek)

Link: [[2]]