© | 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:

"Teachers open the door, but you must enter by yourself"
"师傅领进门,修行靠个人!"

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