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DMMR: Course Schedule and Lecture Slides 2013

Lecture slides will typically be available from this web page a day or two before the lecture.

Week	Lectures	Readings
1	Sep 16: Lecture 1: Introduction and Course Admin Sep 18: Lecture 2: Review of Propositional Logic Sep 19: Lecture 3: Predicate Logic	Rosen chapter 1
2	Sep 23: Lecture 4: Proof techniques Sep 25: Lecture 5: Sets Sep 26: Lecture 6: Relations	Rosen chapters 1, 2 and 9
3	Sep 30: Lecture 7: Functions Oct 2: Lecture 8: Sequences, Sums, Cardinality Oct 3: Lecture 9: Algorithms, part 1	Rosen chapters 2 and 9, then chapter 3
4	Oct 7: Lecture 10: Algorithms, part 2 Oct 9: Lecture 11: Number theory, part 1 Oct 10: Lecture 12: Number theory, part 2	Rosen chapter 3, then chapter 4
5	Oct 14: Lecture 13: Cryptography Oct 16: Lecture 14: Induction Oct 17: Lecture 15: Recursion and structural induction	Rosen chapter 4, then chapter 5
6	Oct 21: Lecture 16: Basic Counting, and the Pigeonhole Principle Oct 23: Lecture 17: Permutations & Combinations, Binomial Coefficients Oct 24: Lecture 18: Generalized Permutations & Combinations	Rosen chapter 6
7	Oct 28: Lecture 19: Graphs: basic definitions and examples Oct 30: Lecture 20: Bipartite Graphs and Matching Oct 31: Lecture 21: Graph Isomorphism; Paths and Connectivity; Euler paths/circuits	Rosen chapter 10
8	Nov 4: Lecture 22: Euler and Hamiltonian paths/circuits (continued); shortest paths; Nov 6: Lecture 23: Shortest Paths and Dijkstra's algorithm; Graph Coloring Nov 7: Lecture 24: Trees	Rosen chapter 10 & 11
9	Nov 11: Lecture 25: Introduction to Discrete Probability; some important distributions; Nov 13: Lecture 26: Conditional probabability; Bayes' theorem Nov 14: Lecture 27: Random variables, Expectation, and Variance	Rosen chapter 7
10	Nov 18: Lecture 28: Markov's and Chebyshev's Inequalities; Examples in probability: the birthday problem; Nov 20: Lecture 29: Examples in probability: ramsey numbers Nov 21: Lecture 30: More examples in probability	Rosen chapter 7

Study guide