| Notes | Topics | Other resources | |
| Week 1 | Notes 1 | Probability intro | Homework Template |
| Week 2 | Notes 2 | First Moment | |
| Week 3 | Notes 3 | Second Moment | |
| Week 4 | Notes 4 | Thresholds for small subgraphs in G(n,p) | Frieze and Karonski |
| Week 5 | Notes 5 | Branching processes and generating functions | |
| Week 6 | Notes 6 | Component Exploration in G(n,p) | |
| Week 7 | |||
| Spring break | |||
| Week 8 | Catch up week | ||
| Week 9 | Notes 9 | Generating functions and random walks | |
| Week 10 | Notes 10 | Random walks on a graph | |
| Week 11 | Notes 11 | Percolation | |
| Week 12 | Notes 12 | Lovász Local Lemma and Janson's Inequalities | |
| Week 13 | Notes 13 | Correlation inequalities | |
| Week 14 | Notes 14 | Applications of Lovász Local Lemma | |
| Week 15 | Notes 15 | A few more applications |