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LL = Mathematics for Computer Science lecture notes by Eric Lehman and Tom Leighton at MIT.
Warning: this is a 339 page pdf file. You may want to print/view only selected sections mentioned below.
LLM = Mathematics for Computer Science lecture notes by Eric Lehman, Tom Leighton and Albert Meyer at MIT.
Warning: this is a 556 page pdf file. You may want to print/view only selected sections mentioned below.
Some of the precise topics for future weeks and associated readings are subject to change.
| Date | Topic | Readingss |
|---|---|---|
| Feb 3 2014 | Proof Techniques | Chapters 1-3 from LL |
| Feb 5 2014 | Proof Techniques, Estimating sums, Growth rate of functions | LL Sections 3.2-3.3, Chapters 10-11, LLM Section 9.7 |
| Feb 10 2014 | Recurrence Relations | LLM Chapter 10 |
| Feb 12 2014 | Counting, permutations, binomial theorem | LLM Chapter 11 |
| Feb 17 2014 | Probabilities, conjunction/disjunction of events, where intuition can go astray | LLM Chapter 14 |
| Feb 19 2014 | Conditional probabilities, Bayes’s formula, independence. | LLM Chapter 15, 16 |
| Feb 24 2014 | Random Variables | LLM Chapter 17 |
| Feb 26 2014 | Expectation of Random Variables | LLM Chapter 18 |
| Mar 3, 2014 | Deviation from the Mean | LLM Chapter 19 |
| Mar 5, 2014 | Hashing and Sketching | hashing2011.pdf, sketching2011.pdf |
| Mar 10, 2014 | Online algorithms | online1_2014.pdf |
| Mar 12, 2014 | Online algorithms | online2_2014.pdf |
| Mar 24, 2014 | Game Theory | game_theory_2014.pdf |
| Mar 26, 2014 | Linear Programming | game_theory_2014.pdf |
| Mar 31, 2014 | Graph Theory: introduction, matching | LLM Chapter 5 |
| Apr 2, 2014 | Graph Theory: stable marriage, coloring | LLM Chapter 5 |
| Apr 7, 2014 | Graph Theory: paths, walks, connectivity, euler tour, hamiltonian cycle, TSP, 2-approximation of vertex cover via LP | LLM Chapter 5 |
| Apr 9, 2014 | Graph Theory: MST, sorting lower bound, random graphs | LLM Chapter 5, sorting lower bound notes (Avrim Blum), readings on random graphs on piazza |
| Apr 14, 2014 | Cryptography: Number theory, RSA | LLM Chapter 4 |
| Apr 16, 2014 | Cryptography | LLM Chapter 4 |
| Apr 21, 2014 | Computability and Turing Machines | Readings on piazza |
| Apr 23, 2014 | Computability and Turing Machines | Readings on piazza |
| Apr 28, 2014 | NP-Completeness | Readings on piazza |
| Apr 30, 2014 | NP-completeness | Readings on piazza |
