© | Dror Bar-Natan: Classes: 2014-15:

# Math 475 - Problem Solving Seminar

## Toronto, Academic Year of 2014-2015

Agenda: Solve! Solve! Write!

Instructor: Dror Bar-Natan, drorbn@math.toronto.edu (for administrative matters only; math on email is slow and prone to misunderstandings, so I generally avoid it). Office: Bahen 6178, 416-946-5438. Office hours: here.

Classes: Tuesdays 3-4 and Thursdays 2-4 at MP 134.

Course Calendar

 # Week of ... 1 January 5 Handout: About This Class. Blackboards for Tuesday January 6. Quiz #1 - Search for a Pattern. Quiz material: Larson's book, page 8, first 2 problems. Results (of 10, median underlined, 23 students): 10 10 10 10 9 9 9 9 7 7 7 6 6 6 5 5 5 0 0 0 0 0 0 Blackboards for Thursday January 8. 2 January 12 Handout: Handout for January 13, "Draw a Figure". Blackboards for Tuesday January 13. (Quiz 2 will take place next week on Tuesday.) Handout: Handout for January 15, "Draw a Figure" (2). Blackboards for Thursday January 15. 3 January 19 Quiz #2 - Draw a Figure. Results (of 10, median underlined, 17 students): 10 10 10 10 10 10 10 10 10 9.5 9 9 5 5 4 2 0 Blackboards for Tuesday January 20. Class Photo. Handout: Handout for January 22, "Formulate an Equivalent Problem". Blackboards for Thursday January 22. 4 January 26 Quiz #3 - Formulate an Equivalent Problem. Results (of 10, median underlined, 16 students): 10 10 10 10 10 10 10 7 7 5 5 5 4 4 3 2 Blackboards for Tuesday January 27. Handout: Handout for January 29, mostly "Choose an Effective Notation". Blackboards for Thursday January 29. A Mathematica notebook for Larson's Problem 1.5.4. 5 February 2 Quiz #4 - Choose an Effective Notation. Results (of 10, median underlined, 16 students): 10 9.5 9 8 8 8 8 7 7 6 5 5 4 2 1 1 Handout: Handout for February 3, "Choose an Effective Notation". Blackboards for Tuesday February 3. Handout: Handout for February 5, "Choose an Effective Notation" and "Exploit Symmetry". Blackboards for Thursday February 5. A Mathematica notebook for the Kauffman bracket. 6 February 9 Blackboards for Tuesday February 10. Quiz #5 - Exploit Symmetry. Results (of 10, median underlined, 14 students): 12 9.5 8.5 8 8 7 6 5 5 5 4 4 3 3 Handout: Handout for February 12, "Exploit Symmetry" and "Divide into Cases". Blackboards for Thursday February 12. R February 16 UofT Reading Week. 7 February 23 Quiz #6 - Around the Isoperimetric Inequality. Results (of 10, median underlined, 14 students): 9 8 7 7 5 4 4 3 3 3 2 2 2 1 Blackboards for Tuesday February 24. Handout: Handout for February 24, "Divide into Cases" and "Work Backwards". Handout: Handout for February 26, "Divide into Cases", "Work Backwards", Pigeonhole. Blackboards for Thursday February 26. 8 March 2 Quiz #7 - "Divide into Cases", "Work Backwards", the Pigeonhole Principle. Results (of 10, median underlined, 14 students): 10 10 10 10 10 10 9 7 6 5 4 1 1 0 Blackboards for Tuesday March 3. Handout: Handout for March 5, "Argue by Contradiction", Pigeonhole. Blackboards for Thursday March 5. A Mathematica notebook for the Tug of War argument. Sunday March 8 was the last date to drop this course. 9 March 9 Quiz #8 - "Argue by Contradiction" and the Pigeonhole Principle. Results (of 10, median underlined, 14 students): 10 10 10 9 9 8.5 8.5 7.5 7 6 3.5 2.5 2.5 1 Blackboards for Tuesday March 10. A Mathematica notebook for the Ramsey numbers. Handout: Handout for March 12, "Pursue Parity". A Mathematica notebook for Problem 10. Blackboards for Thursday March 12. 10 March 16 Quiz #9 - "Pursue Parity". Results (of 10, median underlined, 16 students): 10 10 10 10 10 10 9.5 9.5 9.5 9.5 9 9 9 8.5 8 6.5 A Mathematica notebook for Quiz 9 Problem 1. Blackboards for Tuesday March 17. Handout: Handout for March 19, "Consider Extreme Cases". Blackboards for Thursday March 19. 11 March 23 Swapping two memory cells without using a third. Blackboards for Tuesday March 24. Quiz #10 - "Generalize". Results (of 10, median underlined, 15 students): 10 10 10 10 9.5 9.5 9.5 9.5 9 9 8.5 8 7 6 1 Handout: Handout for March 26, "Generalize". Blackboards for Thursday March 26. 12 March 30 Blackboards for Tuesday March 31. Quiz #11 - "Generalize". Results (of 10, median underlined, 14 students): 10 10 10 9.5 9 9 8 7.5 7 6.5 6 6 5 2 Handout: The Final Exam and preparing for it. My Talks at CMU. Thursday is last day of classes, Friday is Good Friday. F April 6 UofT Examination Period begins on Wednesday. F April 13 UofT Examination Period. F April 20 Our Final Exam took place on Tuesday April 21 at 9AM-12Noon, at St. Vlad. Results (of 80, median underlined, 16 students): 80 79 78.5 78.5 77 77 76 75 74 71.5 71 70 69.5 51.5 38.5 32.5 Overall course marks (of 100, median underlined, 16 students): 98 98 97 96 95 94 93 91 89 88 88 79 63 62 58 53 F April 27 UofT Examination Period ends on Thursday.

Further resources: