Course system · Mini-project design · Scientific figures

MTH1008: Algèbre linéaire appliquée

Make a foundational course feel like one coherent instrument.

Role
Course-note author; figure and mini-project designer
Period
2024–2026
Status
Teaching system · selected excerpts
Context
Course at Polytechnique Montréal
Fig. 01Project excerpt
Three planes whose pairwise intersection lines converge at the unique solution (7/3, 8/3, 1).
The three pairwise intersection lines converge at one point: the system’s unique solution.My standalone TikZ figure · MTH1008, course 1
What I built
  • A structured applied-linear-algebra course
  • Reproducible mathematical diagrams
  • Applied mini-projects, including gold-fault modelling
Course production systemLaTeXTikZPythonMoodle

01 · Context + problem

The design challenge

In MTH1008, I design an applied-linear-algebra course system that connects notation, reproducible figures and engineering mini-projects.

Students have to move quickly between geometry, symbolic manipulation and physical models. Isolated slides or exercises do not establish those connections by themselves.

02 · Approach

I build the system, not only the asset.

  1. 01

    I start each visual from the mathematical relation it must reveal.

  2. 02

    I keep figures reproducible from source rather than editing screenshots.

  3. 03

    I use mini-projects to synthesize several ideas around one engineering model.

04 · Observable outcome

What this project makes observable.

  • A coherent visual language across chapters
  • A collection of inspectable applied problems
  • Assets that can be revised from source
Limits and status

This selection highlights the course’s visual architecture and applied mini-projects; it is not an exhaustive presentation of the course.

05 · Technical approach

Technical approach

Course production systemLaTeXTikZPythonMoodle
01

Production from shared sources

The decks and student handouts are generated from editable course structures instead of maintained as unrelated PDFs.

LaTeX · Beamer · Python

Why it mattersA cross-course correction can be applied at the source and regenerated consistently.

02

Source-generated scientific figures

Geometric constructions and plots are defined as vector sources, with visual and automated checks before they enter the course.

TikZ · PGFPlots

Why it mattersFigures remain precise, revisable and consistent across presentation and print formats.

03

Course delivery as part of the same system

The same session structure is used to generate and validate Moodle-ready course blocks and their resource links.

Python · Moodle

Why it mattersTeaching groups receive a more consistent sequence with fewer publication mismatches.

06 · Transfer

What I can transfer to another institution.

I can transpose the same system to another foundational engineering course: shared notation, source-controlled figures, applied cases and a reviewable production workflow.

Discuss a pilot