This is an archived course. A more recent version may be available at ocw.mit.edu.

Lecture Notes

The This resource may not render correctly in a screen reader.full lecture notes (PDF) and the notes by topic below were typed by Andrew Lin. Used with permission.

LEC # TOPICS
1–2 This resource may not render correctly in a screen reader.Introduction to the Probabilistic Method (PDF)
2–4 This resource may not render correctly in a screen reader.Linearity of Expectation (PDF)
5 This resource may not render correctly in a screen reader.Alterations (PDF)
6–8 This resource may not render correctly in a screen reader.The Second Moment Method (PDF)
9 This resource may not render correctly in a screen reader.The Chernoff Bound (PDF)
10–13 This resource may not render correctly in a screen reader.The Lovász Local Lemma (PDF)
14–15 This resource may not render correctly in a screen reader.Correlation and Janson’s Inequalities (PDF)
16–17 This resource may not render correctly in a screen reader.Martingale Convergence and Azuma’s Inequality (PDF)
18–20 This resource may not render correctly in a screen reader.Concentration of Measure (PDF)
21–22 This resource may not render correctly in a screen reader.Entropy Methods (PDF)
23–24 This resource may not render correctly in a screen reader.The Occupancy Method (PDF)
25 This resource may not render correctly in a screen reader.A Teaser for “Graph Theory and Additive Combinatorics” (PDF)