AP CALCULUS BC
Parametric Motion Vectors
Parametric Cartesian vector tracking framework decoupling $x$ and $y$ positional derivatives. Casts independent $\langle dx/dt, dy/dt \rangle$ vectors against the path map to visualize orthogonal component logic and resulting chain rule geometry.
AP CALCULUS BC
Polar Curves & Area
Polar geometry visualizer tracking rotational $r(\theta)$ traces. Highlights integral sector area sweeps $A = 1/2 \int r^2 d\theta$ and visualizes the geometric backward-rendering anomaly when traversing negative radii.