13 signed decks · Multivariable geometry · 2024
Give spatial ideas a consistent visual grammar.
This is the original French-language artifact. I have kept it untranslated to preserve the work as it was produced.
01 · Context + problem
In MTH1102, I help learners reason across two- and three-dimensional representations while notation changes from one coordinate system to another.
A spectacular 3D image can still fail instructionally if the axes, basis vectors and differential elements are not introduced in a stable sequence.
02 · Approach
I reuse color, notation and page anatomy across the whole series.
I move from an object, to its coordinate description, to the integral it supports.
I choose views that preserve orientation and scale cues.
03 · Artifacts
This is the original French-language artifact. I have kept it untranslated to preserve the work as it was produced.
This is the original French-language artifact. I have kept it untranslated to preserve the work as it was produced.
This is the original French-language artifact. I have kept it untranslated to preserve the work as it was produced.
04 · Observable outcome
These excerpts show the scope and visual authorship of the series; they are not a complete presentation of the course.
05 · Technical approach
Axes, basis vectors, surfaces and differential elements are authored from mathematical sources rather than flattened into screenshots.
LaTeX · TikZ · PGFPlots
Why it mattersNotation, views and geometric cues can be revised while preserving consistency across the series.
Curves, sliced solids and the Frenet–Serret frame are computed before they are rendered as figures or animations.
Python · NumPy · Matplotlib · SymPy
Why it mattersThe visual explanation stays tied to the mathematical object instead of a manually drawn approximation.
Vector figures support close reading, while animation is used when orientation or motion must unfold over time.
SVG · Matplotlib
Why it mattersEach idea is presented in a medium that preserves the cues learners need.
06 · Transfer
I can use the same grammar to align a multi-instructor quantitative sequence while keeping figures, notation and decks maintainable.
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