MAT240F Algebra I

Classes: T11-1, R12; Room: HS610. (Health Sciences, 155 College Street)

Midterm exam: T11-1 on October 18 , 2016, in EX 200

Course description

This course is an introduction to linear algebra, aimed at students in our specialist programs.

Text Book: Our text book will be Linear Algebra (fourth edition) by Friedberg, Insel and Spence, Prentice Hall; it is a required reading.

Abstract (from Academic Calendar): A theoretical approach to: vector spaces over arbitrary fields, including C and Z_p. 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: High school level calculus

Corequisite: MAT157Y

Course outline

Course syllabus

The required homework problems for this course will be sent online, via Crowdmark. You will be asked to submit the solutions electronically, via Crowdmark. (More information will be given later.)

Our late policy is as follows: No late assignments will be accepted.

You can certainly discuss homework with classmates, but you have to write up the solutions yourself, in your own words. Otherwise it is considered unauthorized aid or assistance (working too closely with another student on an individual assignment so that the end result is too similar), which is an academic offence under the University's Code of Behaviour on Academic Matters. If you find the solutions in books or on the internet, you must quote your source (and still write it up in your own words!) Otherwise, it may count as plagiarism which again is an academic offense.

Here is a sample latex source file and its pdf output for download, in case you want to type up your solutions in latex and need some hints.

Below, in the `Calendar', I will give a few additional problems (not to be handed in), required readings, and additional references.


Week 1: September 11-15, 2016.
Week 2: September 18-22, 2016.
Week 3: September 25-29, 2016.
Week 4: October 3-7, 2016

Week 5: October 10-14, 2016.
Week 6: October 17-21, 2016
Week 7: October 24-28, 2016
Week 8: October 31- November 4
Week 9: November 9-15
Week 10: November 16-22
Week 11: November 23-29
Week 12: November 30 - December 6
  • Required reading: Section 4.2-4.4. My approach to determinants is a bit different from the textbook, so you should also review my notes (posted on Blackboard, under course materials).

  • Additional homework (do not hand in).

  • Tuesday, December 6 is last day of classes. The tutorials will take place until that date.
  • The final exam is scheduled for Saturday, December 17. See Exam Schedule for details. The exam can cover anything that was covered during this course. It will be a mix of computational and theoretical questions. To prepare, I recommend looking at MAT240 final exams from earlier years, e.g. F2014, F2012, F2009, and so on. Some other things: