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Skills

Learn Multivariable Calculus (MIT 18.02SC)

16 weeks · 2 milestones

Multivariable Calculus (MIT OpenCourseWare Scholar), then one project of your own. Part of the Varsity Curriculum: Data Science.

Milestone map

Milestone map

2 milestones

Do the course work in public

7–14 weeks (12 hrs/week)

Take Multivariable Calculus for free and do a worked-solutions notebook for the problem sets, every step written out. Keep everything in one public repo or notebook as you go.

Proof required

Link your public repo or notebook with a worked-solutions notebook for the problem sets, every step written out, and a screenshot or log showing the self-check passed.

What gets checked

  • Steps are shown, not just answers.
  • A program checks a sample of your answers numerically.
  • Mistakes you found are marked and fixed.

Common mistakes

  • Copying posted answers: verifiers read the history.
  • Skipping the self-check, then asking for review too early.

Powstik Guide

A public repo or notebook with a worked-solutions notebook for the problem sets, every step written out.

Steps

  1. Make a public repo or notebook first.
  2. Do one unit at a time and commit after each.
  3. Run the self-check: Each unit has problems with full solutions. Do them first, then mark your work against the solutions.
  4. Write a short README: what is here and how to run it.
  5. Ask three people who know the topic to check it.

Template

README
Course: Multivariable Calculus (MIT OpenCourseWare Scholar)
What is here:
How to run it:
Self-check result:
What was hardest:

What gets sent back

  • No history, just one big upload.
  • Self-check not shown.
  • Code that does not run from the README.

Resources

Foundationstart here

Depthgo deeper

Masteryfor the dedicated

What a verifier looks for

  • Steps are shown, not just answers.
  • A program checks a sample of your answers numerically.
  • Mistakes you found are marked and fixed.
  • Ask one question about a choice in the code; the answer should be clear.

You'll sign in first, then come straight back here.

Find the best point with gradients

1–3 weeks (5–8 hrs/week)

Use what you learned. Make a program that uses gradients to find the lowest or highest point of a real function (a cost, a fit to data), with a plot of the path it takes. Keep it small enough to finish in about two weeks.

Proof required

Link a program that uses gradients to find the lowest or highest point of a real function (a cost, a fit to data), with a plot of the path it takes, with a README that says how to run or read it.

What gets checked

  • The gradient is worked out by hand and matches the code.
  • The plot shows each step.
  • It says when the method can get stuck.

Common mistakes

  • A project too big to finish.
  • A demo that only works on your machine.

Powstik Guide

A program that uses gradients to find the lowest or highest point of a real function (a cost, a fit to data), with a plot of the path it takes.

Steps

  1. Write one line: what it does and for whom.
  2. Build the smallest version that works.
  3. Test it on someone else's machine or with someone else reading it.
  4. Write the README.
  5. Ask three people to check it.

Template

README
What it does:
Who it is for:
How to run it:
What I would do next:

What gets sent back

  • Does not run from the README.
  • Not clearly the person's own work.
  • Claims more than it does.

Resources

Foundationstart here

Depthgo deeper

Masteryfor the dedicated

What a verifier looks for

  • The gradient is worked out by hand and matches the code.
  • The plot shows each step.
  • It says when the method can get stuck.
  • Check that the work is the person's own.

You'll sign in first, then come straight back here.