Minigame Python Beginner 25 min

Titration curve drop by drop: two drops move the pH from 4 to 10

Afterwards you can compute a titration curve from the charge balance with brentq, explain its jump and buffer plateau, and pick the right indicator.

Numerical calculus Chemistry

Minigame Python Beginner 20 min

Aliasing and the sampling theorem: why wagon wheels turn backward on film

Afterwards you can explain aliasing, compute the frequency a sampled signal will appear to have, and say how fast to sample to avoid it.

Signal processing Cross-disciplinary

Minigame Python Beginner 25 min

Gradient descent step size and momentum: roll a ball down a narrow valley

Afterwards you can explain why gradient descent diverges above a step size of 2/L, why it crawls in narrow valleys, even a line fit's, and how momentum helps.

Optimization Cross-disciplinary

Minigame Python Beginner 25 min

Distillation and the azeotrope: no pot still passes 95.6 % ethanol by weight

Afterwards you can compute a vapor-liquid equilibrium with activity coefficients, follow a pot still with the Rayleigh equation, and explain an azeotrope.

Ordinary differential equations Chemistry, Engineering