Last updated 18 Jan 2017.
In order to encourage students to experiment with the concepts taught in class, homework assignments will be given on alternate weeks. They will be due in class on Fridays, at the beginning of lecture.
Since homework is a learning activity, students are welcome to discuss ideas with each other, although collaboration in the writing stage is not permitted. In other words, please do not look at the actual document that another student is handing in.
Makeup exams will be given only in the case of a documented medical excuse, a universitysanctioned absence (e.g., participation in a varsity sporting event), or a family emergency. However, this must be requested before the official start time of each exam.
Week  Topic  Alternate reference  Work due Fri 
Week 1
(Mon Jan 16) 
Basic counting; induction  Chapter 1; Fwdbackward induction  
Week 2
(Mon Jan 23) 
Inclusionexclusion,
pigeonhole principle 
Chapter 2;
Dirichlet's approximation theorem (on AoPS) 
Homework 1 
Week 3
(Mon Jan 30) 
Homework 2  
Week 4
(Mon Feb 6) 
Binomial coefficients  Chapter 3; Lucas' Theorem  Exam 1 on Fri 
Week 5
(Mon Feb 13) 
Linear algebra and recurrences  Chapter 4; Wikipedia, Croot's notes  Homework 3 
Week 6
(Mon Feb 20) 
Generating functions  Generatingfunctionology (free book),
by H. Wilf. Sections 1.11.3, 2.12.3; notes from MIT's OpenCourseWare 

Week 7
(Mon Feb 27) 
More generating functions  Homework 4  
Week 8
(Mon Mar 6) 
Introduction to graphs
(No class Fri Mar 10) 
Chapter 7  
Spring break
(Mon Mar 13) 
Relax  
Week 9
(Mon Mar 20) 
Trees  Chapter 8 
Exam 2
on Fri
Homework 5 
Week 10
(Mon Mar 27) 
Traveling salesman problem  Chapter 9  
Week 11
(Mon Apr 3) 
Matchings  Chapter 10  Homework 6 
Week 12
(Mon Apr 10) 
Combinatorial geometry  Chapter 11  
Week 13
(Mon Apr 17) 
Ramsey theory
(No class Fri Apr 21) 
Alt refs
#1
and
#2
from B. Sudakov's
Princeton Combinatorics course. 
Homework 7 
Week 14
(Mon Apr 24) 
Planar graphs  Chapter 12  
Week 15
(Mon May 1) 
Coloring  Chapter 13 
Exam 3
on Mon
Homework 8 
Final exam
(TBA) 
In TBA, from TBA. 
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