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Tuesday and Thursday, 11:30-12:45.

Course program and material

Bibliographic resources

The main reference for the course is Horn and Johnson, Matrix Analysis. Additionally, we shall be using a combination of lecture notes and extracts from books. Most books used are available to you electronically through the libraries (link). From within campus, following the links posted below will take you directly to a page from which you can access the book content. From outside campus, please see this page (link) for information on how to set up the Proxy Bookmarklet. Note that for many of the books published by Springer, you can purchase a print copy of the book for USD 24.95 (shipping included).

Course content

  • 4/9. "Matrices are everywhere": examples of theorems and settings in which matrices appear, including linear systems of difference equations, linear systems of ODE, nonlinear ODE and the stable manifold theorem, Markov chains, graph theory..

Computer programming

  • Introduction to computer software: octave (a GPL -free- MatLab equivalent), MatLab (file) and maxima (a GPL -free- Maple equivalent).

Tests and Assignments


  • Assignment 1, undergrad (MATH 4310) version: file.
  • Assignment 1, grad (MATH 8510) version: file.
  • Assignment 2, common version : file.
  • Assignment 3, common version : file.


  • In class test, in 2.5 parts. Program for the test if here: file.
    • Part I, Thursday November 13th, in class (11:30 to 12:45). I will be present in class from 11:20, those present then can start writing as soon as they get in. We will continue until the start of the next class (13:00).
    • Part I+ε (or II-ε?). Short assignment handed out at the end of Part I of the test. Will involve a bit of computer work and will also provide heavy hints about the content of Part II.
    • Part II, Tuesday November 18th, in class (11:30 to 12:45). Same remark as for part I regarding writing time.

    Past course information

    See this page for information relative to the 2012 instance of this class.

    Private area

    In this directory (link) you will find material for the class: pdf files of the books used, your marks..