Checkpoints

Six pages that test combinations of modules. No new theory — just prove/disprove/justify problems that force you to use material from two or three modules at once.

Checkpoints

Pick a synthesis

Each checkpoint pulls 2–3 problems from its referenced modules. Skip until you've finished the relevant core pages.

Checkpoint A

M1+M2 synthesis

Rank-nullity meets orthogonality — justify a claim about a solution space.

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Checkpoint B

M3 → convexity preview

Eigenvalues of the Hessian ↔ definiteness — bridge into M4/M5.

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Checkpoint C

M3+M4 synthesis

Hessian/critical-point classification using eigenvalues. Revisit 2–3 M2 orthogonality problems.

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Checkpoint D

M4+M5 synthesis

Gradient descent behavior explained via Hessian condition number. Revisit M1.

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Checkpoint E

M2+M3+M7 synthesis

Orthonormal vectors → derive eigenvalues/PCA. Highest-value checkpoint in the whole course.

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Checkpoint FINAL

Final mock

All 7 modules, 90 minutes. Prove/derive/justify register.

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