Spring 2020: Math 301, Introduction to Proofs

Class: Math 301, Intro to Proofs

Time: Whenever works.

Location: Somewhere in the universe.

Office hours: Contact me.

Book: I do not plan to have an official textbook for the class.

Problem sets: The class is now based on projects.

Grades: See class grading scheme file.

The class: The title of this class could very well be "An introduction to thinking". The purpose of this class is to learn to think deeply and precisely. We will explore basic concepts in mathematics as this is a fine language for such an exploration.

Class Announcements

• March 20: I have posted the updated grading scheme and the projects for the class list.

Class Schedule

• Week 1: January 14. Class overview.
• Week 1: January 16. Sets and functions.
• Week 2: January 21. Sets and functions.
• Week 2: January 23. Sets and functions.
• Week 3: January 28. Induction.
• Week 3: January 30. No class (travel issues).
• Week 4: February 4. Sets and Functions. (Partial Relations)
• Week 4: February 6. Sets and Functions. (Axiom of Choice)
• Week 5: February 11. Sets and Functions. (Partitions/Equivalence Relations/Quotients)
• Week 5: February 13. Sets and Functions.
• Week 6: February 18. Review for Midterm 1.
• Week 6: February 20. Midterm 1.
• Week 7: February 25. Handback Midterm 1.
• Week 7: February 27. No class (sick).
• Week 8: March 3. Open sets in R. (Pset 4 due).
• Week 8: March 5. Sequences in R.
• Week 9: March 10. Sequences in R.
• Week 9: March 12. Closed sets in R. (Pset 5 due).
• Week 10: March 17. Spring Break.
• Week 10: March 19. Spring Break.
• Classes went online. Not more class meeting