Last updated 11 May 2013.
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 tests 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 test.
Week  Topic  Alternate reference  Work due 
Week 1
(Mon Jan 14) 
Basic counting; induction  Chapter 1; Fwdbackward induction  Homework 1 
Week 2
(Mon Jan 21) 
Inclusionexclusion,
pigeonhole principle (No class Mon Jan 21) 
Chapter 2;
Dirichlet's approximation theorem (on AoPS) 

Week 3
(Mon Jan 28) 
Homework 2  
Week 4
(Mon Feb 4) 
Binomial coefficients  Chapter 3; Lucas' Theorem  Test 1 on Wed 
Week 5
(Mon Feb 11) 
Linear algebra and recurrences  Chapter 4; Wikipedia, Croot's notes  Homework 3 
Week 6
(Mon Feb 18) 
Generating functions  Generatingfunctionology (free book),
by H. Wilf. Sections 1.11.3, 2.12.3; notes from MIT's OpenCourseWare 

Week 7
(Mon Feb 25) 
More generating functions  Homework 4  
Week 8
(Mon Mar 4) 
Introduction to graphs
(No class Fri Mar 8) 
Chapter 7  
Spring break
(Mon Mar 11) 
Relax  
Week 9
(Mon Mar 18) 
Trees  Chapter 8  Test
2 on Wed
Homework 5 
Week 10
(Mon Mar 25) 
Traveling salesman problem  Chapter 9  
Week 11
(Mon Apr 1) 
Matchings  Chapter 10  Homework 6 
Week 12
(Mon Apr 8) 
Combinatorial geometry  Chapter 11  
Week 13
(Mon Apr 15) 
Ramsey theory
(No class Fri Apr 19) 
Alt refs
#1
and
#2
from B. Sudakov's
Princeton Combinatorics course. 
Homework 7 
Week 14
(Mon Apr 22) 
Planar graphs  Chapter 12  Test 3 on Wed 
Week 15
(Mon Apr 29) 
Coloring  Chapter 13  Homework 8 
Final exam
(Fri May 10) 
In Wean 7500, from 1:00pm  4:00pm 
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