The Mathematical Theory of Signals and Systems

For many, many years, I taught a course, MATH 334, which was a third-year core course for students in the undergraduate Mathematics and Engineering programme at Queen's University, Kingston. More recently, I also taught the companion course, MATH 335. These courses were, more or less, the version of the standard third-year "signals and systems" stream one sees in an undergraduate engineering programme, but for students with a slightly better background in mathematics, especially in real analysis and linear algebra.

Over the years, I put a lot of effort into both of these courses to try to make them somehow different from the cookie-cutter versions of these courses for which there are thousands of representatives out there. Since there will no longer be students for these courses, I thought I would punctuate my very enjoyable involvement with them by reproducing the lectures in some form for public consumption.

What I have made available is offered with no warranty as to its correctness; indeed, there will be errors and glitches, not to mention things I would say differently were I to have the energy to polish the lectures. They are, therefore, solely for the purpose of light entertainment.

Online material

  1. Lectures on YouTube
  2. Lecture notes: These are in highly variable stages of completion. Some parts are in a tolerable state of completion (mainly the parts I actually taught from), while other parts are shockingly incomplete and muddled. Absolutely none of this is offered as having any scientific merit. There is a point of view on things and an organisation of material that I think is novel in and of itself. So I am throwing out there what I have since I have no plans to put in any more work on these notes.
    [Volume 1] [Volume 2] [Volume 3] [Volume 4] [Volume 5]
  3. Slides for lectures: I never lectured from these, but I made them available as a less over-the-top treatment of the material in the lecture notes.
    [MATH 334 (signals and Fourier transforms)] [MATH 335 (systems)]