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DMMR: Course Schedule and Lecture Slides 2015

Lecture slides will typically be available from this web page a day or two before the lecture. The slides from last year will give a good idea about what's coming up.

Week	Lectures	Readings
1	Sep 21: Lecture 1: Introduction and Course Admin Sep 23: Lecture 2: Predicates, Quantifiers and Proof Techniques Sep 24: Lecture 3: Predicates, Quantifiers and Proof Techniques	Rosen Sections 1.4, 1.8 and 1.9
2	Sep 28: Lecture 4: Sets, Functions and Relations Sep 30: Lecture 5: Sets, Functions and Relations Oct 01: Lecture 6: Sequences and Sums	Rosen Sections 2.1-2.4, 9.1 and 9.5
3	Oct 05: Lecture 7: Cardinality Oct 07: Lecture 8: Induction Oct 08: Lecture 9: Induction	Rosen Sections 2.5, then 5.1 and 5.2
4	Oct 12: Lecture 10: Arithmetic Modulo m Oct 14: Lecture 11: Primes and Greatest Common Divisors Oct 15: Lecture 12: Multiplicative Inverses and Some Cryptography	Rosen Section 4.1, then 4.3, 4.4 and 4.6
5	Oct 19: Lecture 13: Multiplicative Inverses and Some Cryptography Oct 21: Lecture 14: Algorithms Oct 22: Lecture 15: Algorithms	Rosen Section 4.6, then 3.1-3.3
6	Oct 26: Lecture 16: Basic Counting, and the Pigeonhole Principle Oct 28: Lecture 17: Permutations & Combinations, Binomial Coefficients Oct 29: Lecture 18: Generalized Permutations & Combinations	Rosen chapter 6
7	Nov 2: Lecture 19: Graphs: basic definitions and examples Nov 4: Lecture 20: Bipartite Graphs and Matching Nov 5: Lecture 21: Graph Isomorphism; Paths and Connectivity; Euler paths/circuits	Rosen chapter 10
8	Nov 9: Lecture 22: Euler and Hamiltonian paths/circuits (continued); shortest paths; Nov 11: Lecture 23: Shortest Paths and Dijkstra's algorithm; Graph Coloring Nov 12: Lecture 24: Trees	Rosen chapter 10 & 11
9	Nov 16: Lecture 25: Introduction to Discrete Probability; some important distributions; Nov 18: Lecture 26: Conditional probabability; Bayes' theorem Nov 19: Lecture 27: Random variables, Expectation, and Variance	Rosen chapter 7
10	Nov 23: Lecture 28: Markov's and Chebyshev's Inequalities; Examples in probability: the birthday problem; Nov 25: Lecture 29: Examples in probability: ramsey numbers Nov 26: Lecture 30: review lecture	Rosen chapter 7

Study guide