06-240/About This Class
|
Crucial Information
Agenda: Understand linear algebra, the simplest algebra there is, and come to appreciate that simplest is also the most fundamental.
Hidden Agenda: Learn (by example) how "real" math is done: abstraction and generalization, definitions, theorems and proofs.
Instructor: Dror Bar-Natan, drorbn@math.toronto.edu, Bahen 6178, 416-946-5438. Office hours: by appointment.
Classes: Tuesdays 1-3 and Thursdays 1-2 at MP 203.
Teaching Assistants: Dmitry Donin, donin@math.toronto.edu, Bahen 6191, 416-978-2095 and Paul Lee, plee@math.toronto.edu, Bahen 6135, 416-978-4794.
Tutorials: Thursdays 2-4 at MP 203 if the last digit of your student number is even, and at MP 118 if it is odd. |
URL: https://drorbn.net/drorbn/index.php?title=06-240.
Abstract
Taken from the Faculty of Arts and Science Calendar:
A theoretical approach to: vector spaces over arbitrary fields including , . Subspaces, bases and dimension. Linear transformations, matrices, change of basis, similarity, determinants. Polynomials over a field (including unique factorization, resultants). Eigenvalues, eigenvectors, characteristic polynomial, diagonalization. Minimal polynomial, Cayley-Hamilton theorem.
- Prerequisite: MCB4U, MGA4U
- Co-requisite: MAT157Y1
Text Book
Our main text book will be Linear Algebra (fourth edition) by Friedberg, Insel and Spence, ISBN 0-13-008451-4.
Good Deeds and The Final Grade
Homework
Class Photo
To help me learn your names, I will take a class photo on Thursday of the third week of classes. I will post the picture on the class' web site and you will be required to send me an email and identify yourself in the picture or to identify yourself on the Class Photo page of this wiki.