Topic directory
These routes stay compact, but the topics, grouped overviews, starter tracks, and progress cues still derive from the same canonical metadata and local-first progress seams the rest of the product already uses.
Subject entry points
Enter the current physics catalog through live motion, waves, fields, circuits, and modern-physics benches that still share one compact simulation-first product language.
Motion and Circular Motion is the clearest bounded first route.
Enter the current math slice through graph transformations, rational-function asymptotes, exponential change, vectors, complex-plane geometry, trig identities, inverse-angle reasoning, polar coordinates, and parametric motion without leaving the same live-bench product language used elsewhere on the site.
Functions and Change is the clearest bounded first route.
Enter the current chemistry slice through reaction-rate ideas, a stoichiometry-and-yield recipe branch, and a broader solutions-and-pH branch without leaving the same simulation-first product architecture.
Rates and Equilibrium is the clearest bounded first route.
Enter the current computer-science slice through one bounded algorithms-and-search branch where visible list work now widens into one shared graph-traversal bench without leaving the product's simulation-first architecture.
Algorithms and Search Foundations is the clearest bounded first route.
16 topics
Topic order follows the topic catalog, with subject groupings layered on top of the same canonical metadata.
93 published modules
Every topic page pulls concepts from the canonical registry and links back into the existing concept pages and starter tracks.
4 subjects
Topic browsing now scales by subject without introducing a second content catalog or route tree.
8 topics
Follow repeating motion from one oscillator into traveling waves, sound as a longitudinal wave, pitch-versus-loudness cues, beats from nearby frequencies, Doppler shifts from motion, superposition, standing patterns, and driven resonance.
SHM is still the cleanest first concept here.
Use vectors, balance and rotational cause, angular momentum, trajectories, gravity fields and potential, circular orbits, orbital periods, escape thresholds, impulse, conservation, and collisions to read motion and interactions on the same simulation-first surface.
Vectors is still the cleanest first concept here.
Start with pressure as force per area, then keep the fluids story coherent through hydrostatic pressure, steady-flow continuity, Bernoulli's speed-pressure-height trade, buoyancy from displaced fluid, and resistive drag that settles into terminal speed.
Pressure in fluids is still the cleanest first concept here.
Separate temperature from total internal energy, bridge that microscopic story into gas pressure and the ideal-gas law, then follow how thermal energy crosses boundaries and shapes honest heating curves on one compact thermal branch.
Temperature vs U is still the cleanest first concept here.
Move from source charges and voltage into simple loops, power, branch behavior, and equivalent resistance without leaving the same compact electricity path.
E-fields is still the cleanest first concept here.
Use current-made magnetic fields, changing flux, Maxwell's four-law synthesis, magnetic force, and field-pair propagation without turning the branch into a detached rule list.
B-fields is still the cleanest first concept here.
Use one bounded optics path to move from light's wave identity into polarization, diffraction, double-slit interference, refraction, prism dispersion, critical angles, mirrors, thin-lens image formation, and the diffraction limits that cap real resolution.
Light and spectrum is still the cleanest first concept here.
Keep the modern-physics branch bounded with the photoelectric effect, atomic spectra, de Broglie matter waves, the Bohr model, and radioactivity / half-life so threshold emission, discrete lines, matter wavelength, quantized hydrogen levels, and probabilistic nuclear decay all stay tied to compact, visually honest benches instead of detached historical anecdotes.
Photoelectric effect is still the cleanest first concept here.
Use parent-curve moves, a shifted reciprocal family, and one exponential bench so graph moves, asymptotes, domain breaks, growth versus decay, and target-time questions stay tied to the same visual branch before the math path widens into local and accumulated change.
Graph transforms is still the cleanest first concept here.
Start from slope on the graph itself, use one constrained rectangle bench to make a real maximum visible, keep limit and continuity behavior available on one target point, and then widen into signed area and accumulation so rate and total change stay connected on one visual branch.
Derivative as slope is still the cleanest first concept here.
Use one 2D plane to read vectors as arrows, ordered pairs, matrix actions, alignment measures, and projections before the same language bridges into motion.
2D vectors is still the cleanest first concept here.
Use one bounded math branch where the complex plane, unit-circle rotation, polar coordinates, trig identities, inverse-angle reasoning, and motion traced from equations all stay tied to the same coordinate language.
Complex numbers is still the cleanest first concept here.
3 topics
Use one compact chemistry branch where collision success explains reaction rate first, then the same particle language widens into reversible change and a new equilibrium mix.
Reaction rate is still the cleanest first concept here.
Use one compact chemistry branch where a visible recipe bench connects stoichiometric ratios, limiting reagent, and percent yield without leaving the same particle-and-recipe language.
Recipe ratios is still the cleanest first concept here.
Use one compact chemistry branch where concentration, solubility, acid-base balance, buffers, and pH all stay attached to the same bounded solution story.
Concentration is still the cleanest first concept here.
Use one bounded CS branch where visible list work grows into one coherent graph-traversal bench, so sorting, binary search, adjacency, BFS, DFS, and visited-state behavior stay on compact live surfaces.
Sorting trade-offs is still the cleanest first concept here.