Roadmap

Subjects and topics to study long-term. Progress is saved in this browser (localStorage) — tick boxes as you go.

Overall

Mathematics

core foundations

Full path from Pre-Algebra through analysis, algebra, topology, and frontiers — interactive knowledge graph.

Graphify-style map from Pre-Algebra → frontiers. Track each topic inside.

Open knowledge graph →

Physics (ME refresh)

engineering

Mechanics, thermo, fluids, waves — tighten intuition that backs FEA/CFD and machine design.

Applied Linear Algebra

engineering data

Matrices, eigenstuff, SVD — FEA stiffness, control, data/ML. Overlaps Mathematics graph (Linear Algebra node).

Jump to math node →

Probability & Statistics

data quality

Uncertainty, experiments, quality, ML foundations. Linked from Mathematics graph community C7.

Jump to math node →

Programming & computation

tools

Python for numerics/scripts, plus discrete math habits used in automation and ERP tooling.

Controls & dynamics

engineering

Laplace, transfer functions, stability — bridges ODEs in the math graph to real machines.

Optimization

engineering data

Design optima, convex ideas, OR — ties Calc + LA to production and sizing decisions.

Jump to math node →

Start with Mathematics if you want the full interconnected map (Pre-Algebra onward).