Materials supplementing the lectures

• Where did zero come from?

• The infinite hotel paradox (also try to look up a short story The Extraordinary Hotel, or the Thousand and First Journey of Ion the Quiet by N. Ya. Vilenkin)

• An article about epsilons and deltas in real analysis. And some more thoughts on epsilon-delta proofs.

• Here's an article about the crazy Cantor middle thirds set.

• Here is an article on uniform continuity that has some cool visualizations. And here is a nice video explaining the difference between uniform and regular continuity.

• Some mathematicians we've encountered: Cauchy, Cantor, Bolzano, Weierstrass, Heine, Borel, Taylor, Lagrange, Dirichlet.

Exam review materials

• First exam review (includes practice problems)

  • and solutions to practice problems

• Second exam review (includes practice problems)

  • and solutions to practice problems

• Final exam review

Zoom lecture videos and notes

• All the class and asynchronous lecture recordings are linked in a Google doc. The link to this doc was sent to you in an email.