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Study plan

4-week Caltech study plan

Four weeks to make proof-writing second nature, prepare for a take-home exam under the Honor Code, and use a small cohort as your sharpest tool.

Designed for Caltech · 4-week

Start matching room
Trace the prerequisite chain through each set
Re-prove every lecture theorem from memory

Day 1

Prerequisite trace

Map which prior results each problem assumes

60 min · Annotated dependency notes

Definitions sheet

Record exact statements for the week

30 min · Per-course definitions sheet

Day 3

Theorem reconstruction

Rebuild key proofs without notes

75 min · List of first-stall points

Technique tagging

Label each proof by its method

30 min · Technique map for the set

Day 5

Pair-explain

Present arguments aloud with a classmate

60 min · Gaps surfaced and noted

Counterexample log

Record edge cases that broke proofs

20 min · First journal entries

Weekly cadence

Three study days a week: a proof-reconstruction day, a pair-explain day, and a timed-practice day.

FAQ

Who is the 4-week Caltech study plan for?

It is for learners who need a concrete weekly cadence with timed blocks, visible outputs, and regular review.

Can I compress the plan?

Yes, but keep the same sequence: baseline, targeted practice, timed execution, and final review.

What makes the plan work better inside Study Spaces?

The room gives each block a timer, accountability, task context, and a recap point so the plan turns into action.

Use it now

Turn this page into a live sprint

Start the matching room for Caltech, then use the sprint plan as the first task and recap script.

4-week Caltech study plan
Focus target: Caltech
Block 1 (25 min): closed-book recall or one timed practice set.
Break (5 min): mark confusing items without opening a new task.
Block 2 (25 min): correct misses and write the next first step.
Done: one score/error note plus one queued task for tomorrow.