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 systemLaTeX · TikZ · Python · Moodle
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.
01
I start each visual from the mathematical relation it must reveal.
02
I keep figures reproducible from source rather than editing screenshots.
03
I use mini-projects to synthesize several ideas around one engineering model.
03 · Artifacts
The reasoning, made visible.
Fig. 02Project excerpt
FR
This is the original French-language artifact. I have kept it untranslated to preserve the work as it was produced.
A gold-bearing fault connects a linear system, an affine plane and geological interpretation.My MTH1008 mini-project · Gold-fault exploration
Fig. 03Project excerpt
Orthogonal projection decomposes a vector between a subspace and its perpendicular complement.My standalone TikZ figure · MTH1008
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 systemLaTeX · TikZ · Python · Moodle
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.