Assignment  Handout Date  Due Date  Worth 

1  September 21  October 12  15% 
2  October 12  November 9  15% 
3  November 9  November 30  15% 
There is also an oral presentation (worth 35%) on any topic in the
textbook not covered in class. This mark is formed by 20% for the
understanding of the proof, and 15% for the oral presentation.
Student presentations will be on the last week of classes
(December 57, 2017).
Finally, in addition to the three assignments and oral presentation,
there is an individual project worth 20% of the final mark. Projects
should have about 5 pages, and can not exceed 10 pages. They can be
about any beautiful proof in Mathematics not covered in lectures or
assignments. Students should explain the proof and then tell about
what is beautiful or surprising about that prof. More information
about the project will be given in class in October. The lecturer
and the student must agree on the topic of the project by October
19, 2017. The deadline to handin the project is Thursday November
30, 2017.
There is no final exam.
WEEK 
DATES 
CHAPTER 
TOPICS 
1 
Sep. 68 
1 
Introduction to the course. Six proofs of the infinitude of primes. 
2 
Sep. 1115 
1 
More on six proofs of the infinitude of primes and proofs that the sum of the reciprocal of the primes diverges. 
3 
Sep. 1822 
2 
Bertrand's postulate. [A1 out] 
4 
Sep. 2529 
6 
Every finite division ring is a field. 
5 
Oct. 26 
8 
Some irrational numbers. 
6 
Oct. 1013 
9 
Riemann Zeta function and three times pi^2/6. [A1 in/A2 out] 
7 
Oct. 1620 
9 
Three times pi^2/6 (cont). 
~ 
Oct. 2327 

READING WEEK 
8 
Oct. 30  November 3 
27 
Pigeonhole principle and double counting. 
9 
Nov. 610 
27 
Double counting and extremal graph theory. [A2 in/A3 out] 
10 
Nov. 1317 
29 
Three famous theorems in finite sets. 
11 
Nov. 2024 
30 
Shuffling cards. 
12 
Nov. 27  December 1 
30; 34 
Shuffling cards (cont.); Kakeya problem. [A3 in] [Deadline to submit project] 
13 
Dec. 47 

Student presentations (lectures from textbook). 