| Lecture | Lecture Video | Recitation Video | Assignments |
Readings | Resources |
|---|
| Lecture 1 |
01: Lecture - Introduction and Proofs
(transcript) |
Recitation 1,
Recitation Solution 1 |
Problem Set 1 |
Readings |
|
| Lecture 2 |
02: Lecture - Induction
(transcript) |
Recitation 2,
Recitation Solution 2 |
Problem Set 2 |
Readings |
|
| Lecture 3 |
03: Lecture - Strong Induction
(transcript) |
Recitation 3,
Recitation Solution 3 |
Problem Set 3 |
Readings |
Proof |
| Lecture 4 |
04: Number Theory I
(transcript) |
Recitation 4,
Recitation Solution 4 |
Problem Set 4 |
Readings |
|
| Lecture 5 |
05: Number Theory II
(transcript) |
Recitation 5,
Recitation Solution 5 |
Problem Set 5 |
Readings |
|
| Lecture 6 |
06: Lecture - Graph Theory and Coloring
(transcript) |
Recitation 6,
Recitation Solution 6 |
Problem Set 6 |
Readings |
|
| Lecture 7 |
07: Lecture - Matching Problems
(transcript) |
Recitation 7,
Recitation Solution 7 |
Problem Set 7 |
Readings |
Mating |
| Lecture 8 |
08: Lecture - Graph Theory II: Minimum Spanning Trees
(transcript) |
Recitation 8,
Recitation Solution 8 |
Problem Set 8 |
Readings |
|
| Lecture 9 |
09: Lecture - Communication Networks
(transcript) |
Recitation 9,
Recitation Solution 9 |
Problem Set 9 |
Readings |
|
| Lecture 10 |
10: Lecture - Graph Theory III
(transcript) |
Recitation 10,
Recitation Solution 10 |
Problem Set 10 |
Readings |
|
| Lecture 11 |
11: Lecture - Relations, Partial Orders, and Scheduling
(transcript) |
Recitation 1,
Recitation Solution 11 |
Problem Set 11 |
Readings |
|
| Lecture 12 |
12: Lecture - Sums
(transcript) |
Recitation 12,
Recitation Solution 12 |
Problem Set 12 |
Readings |
|
| Lecture 13 |
13: Lecture - Sums and Asymptotics
(transcript) |
Recitation 13,
Recitation Solution 13 |
|
Readings |
|
| Lecture 14 |
14: Lecture - Divide and Conquer Recurrences
(transcript) |
Recitation 14,
Recitation Solution 14 |
|
Readings |
|
| Midterm |
|---|
Practice Midterm →
Practice Solutions
Midterm →
Midterm Solutions
|
|---|
| |
|---|
| Lecture 15 |
15: Lecture - Linear Recurrences
(transcript) |
Recitation 15,
Recitation Solution 15 |
|
Readings |
|
| Lecture 16 |
16: Lecture - Counting Rules I
(transcript) |
Recitation 16,
Recitation Solution 16 |
|
Readings |
|
| Lecture 17 |
17: Lecture - Counting Rules II
(transcript) |
Recitation 17,
Recitation Solution 17 |
|
Readings |
|
| Lecture 18 |
18: Lecture - Probability Introduction
(transcript) |
Recitation 18,
Recitation Solution 18 |
|
Readings |
|
| Lecture 19 |
19: Lecture - Conditional Probability
(transcript) |
Recitation 19,
Recitation Solution 19 |
|
Readings |
|
| Lecture 20 |
20: Lecture - Independence
(transcript) |
Recitation 20,
Recitation Solution 20 |
|
Readings |
|
| Lecture 21 |
21: Lecture - Random Variables
(transcript) |
Recitation 21,
Recitation Solution 21 |
|
Readings |
|
| Lecture 22 |
22: Lecture - Expectation I
(transcript) |
Recitation 22,
Recitation Solution 22 |
|
Readings |
|
| Lecture 23 |
23: Lecture - Expectation II
(transcript) |
Recitation 23,
Recitation Solution 23 |
|
Readings |
|
| Lecture 24 |
24: Lecture - Large Deviations
(transcript) |
Recitation 24,
Recitation Solution 24 |
|
Readings |
|
| Lecture 25 |
25: Lecture - Random Walks
(transcript) |
Recitation 25,
Recitation Solution 25 |
|
Readings |
|
| |
|---|
| Final Exam |
|---|
Practice Final 2004 →
Final 2004 Solution
Practice Final 2006 →
Final 2006 Solution
Practice Final 2008 →
Final 2008 Solution
Final 2010
|
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| |
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