Course

Mathematics for Machine Intelligence

Rebuild linear algebra, optimization, and probability muscles that underpin AI systems.

Level

Intermediate

Duration

60 hrs

License

CC-BY-SA

Provider

PowerProgress x MIT OCW

AI tutor ready

Connect plan → quiz → feedback

Launch the learner mission control to pair this syllabus with lesson-aware copilots and checkpoint quizzes.

Manifest compliance

Mirror-ready resources

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Kardashev track

Knowledge contributions unlocked

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Readiness status

100%

170/12 manifest entries logged

Mirror two more syllabi via npm run manifest:ingest and log licenses

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Kardashev intelligence

Civic missions bottleneck

3 weekly posts - 50 live missions. Close the 48pt gap by running the recommended playbook.

critical

Readiness

52%

Gap to 100%

-48 pts

  • Target

    120 weekly updates / 30 missions

Synced 10:23:53 PMExecute playbook

Live impact

0

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Mapped missions

mission-math-ai-simulations

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Telemetry tags

mathsimulation

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Module

Vector Systems & Stability

Translate linear algebra identities directly into embedding and attention code paths.

1 lessons · 2 takeaways

Mission outcomes

  • Explain how basis changes impact representation learning.
  • Show matrix calculus steps for gradients and low-rank adapters.

Module

Probabilistic Signals

Size evaluation runs and calibrate models using practical probability tools.

1 lessons · 2 takeaways

Mission outcomes

  • Compute bounds for accuracy, latency, and safety metrics before deployment.
  • Draft calibration rituals that tie math to day-2 operations.