MATH 2740 (Math of Data Science)
This is the material for when I (Julien Arino) am teaching the course.
View the Project on GitHub julien-arino/math-of-data-science
MATH 2740: Mathematics of Data Science
This GitHub repo contains material related to the University of Manitoba course MATH 2740, Mathematics of Data Science and reflects the organisation of the course when I (Julien Arino) teach it.
Here, you will find the publicly available information: code, slides and some general information. All other information (syllabus, assignments, marks) is available through UM Learn.
Fall 2026 format
The course evaluation consists of Lab Tests (held during tutorials), a two-hour Midterm Examination and a Final Examination.
Office Hours: TBD. Because of the ongoing renovation of Machray Hall, office hours will be strictly limited to the posted times once they are determined.
Exercises: The standalone booklet of exercises has answers, but these are posted after the corresponding tutorial.
This GitHub repo
On the GitHub version of the page, you have access to all the files. You can also download the entire repository by clicking the buttons on the left. (You can also of course clone this repo, but you will need to do that from the GitHub version of the site.)
Feel free to use the material in these slides or in the folders. If you find this useful, I will be happy to know.
Slides
- L01-introduction
- L02-math-preliminaries-1
- L03-math-preliminaries-2
- L04-matrix-methods-least-squares-1
- L05-matrix-methods-least-squares-2
- L06-matrix-methods-QR-1
- L07-matrix-methods-QR-2-SVD-1
- L08-matrix-methods-SVD-2
- L09-matrix-methods-PCA-1
- L10-matrix-methods-PCA-2
- L11-matrix-methods-SVM
- L12-DTMC-regular-chains
- L13-DTMC-absorbing-chains
- L14-graphs-1
- L15-graphs-2
- L16-graphs-3
- L17-graphs-4
- L18-graph-measures-1
- L19-graph-measures-2
- L20-ANN-1
- L21-ANN-2
- L22-Pagerank
- L23-Tokenisation
The file with all the slides
Old slides
The following are the slides I used in previous years. I am including them until I have completed the change to the new slide set.
Lecture notes
Some lecture notes are available here. Beware: these are not complete!
Videos
The videos for the course are available on YouTube as a playlist. Note that the videos are far from perfect.. the slides and the videos will be reworked prior to the next instance of the course (although the latter will hopefully be taught in person).
Additional slides and videos
The following slides and videos are part of a set of “vignettes” about R (see here). They are required reading/watching for the course as they explain some mechanisms that your R assignments will need to use.