📚 Study Hub

Coursera learning checks & study guides — explained simply, with live simulations.

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How to use this hub: each card is one learning check. Open a card to see a super-simple explanation of every question, real Python simulation pictures (with animated GIFs), and an interactive slider you can drag to explore the math yourself.

Learning Checks

1

Curse of Dimensionality

Machine Learning in Python · Module 1. Why high-dimensional data is "sparse" — probability of points inside a hypercube, the r for 90%, and expected squared distance.

● 4 questions · simulation + GIFs + interactive
2

Bias-Variance Tradeoff

Machine Learning in Python. Match the three graph lines — Test MSE (U-shape), Squared Bias (falls), Variance (rises) — with a live "fit" game.

● 3 questions · simulation + GIF + interactive fit game
3

Linear Algebra — Dot Products & Matrices

Linear Algebra · Learning Check 1 of 4. Dot products (xᵀy, yᵀx), matrix rules (when you can multiply/add), and AᵀA — with a dot-product machine and matrix toy.

● 4 questions · interactive widgets