© | Dror Bar-Natan: Classes: 2015-16:

# Math 475 - Problem Solving Seminar

## Toronto, Academic Year of 2015-2016

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.

Office hours.

Teaching Assistant. Ian Greig, ian.greig@mail.utoronto.ca.

Classes. Tuesdays 12-2 and Thursdays 12-1 at MP 137.

Course Calendar

 # Week of ... 1 January 11 Handout: About This Class. Blackboards for Tuesday January 12. Quiz #1 - Search for a Pattern. Results (of 10, median underlined, 38 students): 1 2 2 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10. Blackboards for Thursday January 14. 2 January 18 Handout for January 19, "Draw a Figure". Blackboards for Tuesday January 19. Quiz #2 - Draw a Figure. Results (of 10, median underlined, 40 students): 1 2 2 3 3 4 5 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10. Blackboards for Thursday January 21. 3 January 25 Handout for January 26, "Formulate an Equivalent Problem". Blackboards for Tuesday January 26. Class Photo. Quiz #3 - Formulate an Equivalent Problem. Results (of 10, median underlined, 39 students): 0 1 2 2 2 3 4 4 6 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10. Blackboards for Thursday January 28. 4 February 1 Handout for February 2, "Modify the Problem" / "Choose an Effective Notation". Blackboards for Tuesday February 2. Quiz #4 - "Modify the Problem" / "Choose an Effective Notation". Results (of 10, median underlined, 40 students): 0 1 1 1 1 2 2 2 2 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10. Blackboards for Thursday February 4. 5 February 8 Handout for February 9, "Modify the Problem" / "Choose an Effective Notation". Blackboards for Tuesday February 9. The 1206 Riddle. Handout for February 11, "Choose an Effective Notation" and "Exploit Symmetry". Quiz #5 - "Modify the Problem" / "Choose an Effective Notation". Results (of 10, median underlined, 32 students): 2 2 3 3 3 4 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10. Blackboards for Thursday February 11. R February 15 UofT Reading Week. 6 February 22 Handout for February 23, "Exploit Symmetry". Blackboards for Tuesday February 23. No Thursday class, makeup next week. No quiz this week. (I'll be at Northeastern University). 7 February 29 Handout for March 1, "Exploit Symmetry". Blackboards for Tuesday March 1. Quiz #6 - "Exploit Symmetry". Results (of 10, median underlined, 27 students): 1 2 2 2 3 3 4 4 4 5 5 5 6 7 7 7 8 10 10 10 10 10 10 10 10 10 10. Blackboards for Wednesday March 3. Friday March 4: Makeup for last Thursday's class, 12-1 at Bahen 1210 (cancelled). 8 March 7 Handout for March 8, "Divide into Cases" and "Work Backwards". Blackboards for Tuesday March 8. Quiz #7 - "Divide into Cases". Results (of 10, median underlined, 36 students): 2 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10. Blackboards for Wednesday March 10. Sunday March 13 is the last date to drop this course. 9 March 14 Handout for March 15, "Divide into Cases", "Work Backwards", Pigeonhole. Blackboards for Tuesday March 15. Quiz #8 - "Divide into Cases", "Work Backwards", and the Pigeonhole Principle. Results (of 10, median underlined, 33 students): 0 1 2 2 2 2 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 10. Blackboards for Wednesday March 17. 10 March 21 Handout for March 22, "Work Backwards", Pigeonhole, "Argue by Contradiction". Blackboards for Tuesday March 22. Quiz #9 - "Work Backwards", the Pigeonhole Principle, and "Argue By Contradiction". Results (of 10, median underlined, 36 students): 1 2 2 2 3 4 4 4 5 5 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10. Blackboards for Wednesday March 24. Friday is "Good Friday". 11 March 28 Handout for March 29, "Argue by Contradiction" and "Pursue Parity". Blackboards for Tuesday March 22. Quiz #10 - "Argue By Contradiction" and "Pursue Parity". Results (of 10, median underlined, 38 students): 3 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10. Blackboards for Wednesday March 31. 12 April 4 Handout for April 5, "Consider Extreme Cases" and "Generalize". Blackboards for Tuesday April 5. Quiz #11 - "Consider Extreme Cases" and "Generalize". Results (of 10, median underlined, 37 students): 0 0 1 1 2 2 2 3 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10. On the Final Exam. Friday is the last day of classes. F April 11 UofT Examination Period begins on Tuesday. F April 18 UofT Examination Period. F April 25 Our Final Exam took place on Thursday April 28, 9-12, at BN 2S. Results (of 80, median underlined, 38 students): 12 29 31 32 36 39 40 41 46 50 53 54 55 56 58 58 58 60 62 63 64 67 69 69 69 71 72 72 73 74 77 77 77 77 77 80 80 80. Overall course marks (of 100, median underlined, 38 students): 52 53 61 62 64 65 65 66 68 68 70 70 74 75 77 78 78 78 80 81 82 82 84 85 86 86 86 89 91 93 94 95 96 96 97 98 98 99.

Further resources: