Lectures


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Lecture Schedule (Subject to Change)

Lecture # Date Concepts Reading Slides
1 8/25 (Mon) Administrivia, introduction - [PDF]
2 8/27 (Wed) Propositional logic 1.1 [PDF]
3 9/03 (Wed) Applications of logic, logical equivalences 1.1 - 1.2 [PDF]
4 9/08 (Mon) Predicates and quantifiers 1.3 [PDF]
5 9/10 (Wed) More predicate logic, nested quantifiers 1.3 - 1.4 [PDF]
6 9/15 (Mon) Rules of inference, introduction to proofs 1.5 - 1.6 [PDF]
7 9/17 (Wed) Proof techniques 1.7 [PDF]
8 9/22 (Mon) Sets, set operations 2.1 - 2.2 [PDF]
9 9/24 (Wed) Set identities, functions 2.2 - 2.3 [PDF]
10 9/29 (Mon) Functions, summations 2.3 - 2.4 [PDF]
11 10/01 (Wed) Integers and division 3.4 [PDF]
12 10/06 (Mon) Primes, GCDs, representations 3.5 - 3.6 [PDF]
13 10/08 (Wed) Midterm review - -
14 10/14 (Tues) Midterm - -
15 10/15 (Wed) Mathematical induction 4.1 [PDF]
16 10/20 (Mon) Strong induction, recursive definitions 4.1 - 4.2 [PDF]
17 10/22 (Wed) Recursive definitions and structural induction 4.3 [PDF]
18 10/27 (Mon) Counting basics 5.1 [PDF]
19 10/29 (Wed) Counting basics, pigeonhole principle 5.1 - 5.2 [PDF]
20 11/03 (Mon) Permutations, combinations, binomial coefficients 5.3 - 5.4 [PDF]
21 11/05 (Wed) Generalized permutations and combinations 5.5 [PDF]
22 11/10 (Mon) Discrete probability, probability theory 6.1 - 6.2 [PDF]
23 11/12 (Wed) Probability theory 6.2 [PDF]
24 11/17 (Mon) Bayes theorem 6.3 [PDF]
25 11/19 (Wed) Expected value and variance 6.4 [PDF]
26 11/24 (Mon) Relations, n-ary relations 8.1 - 8.2 [PDF]
27 12/01 (Mon) Equivalence relations 8.5 [PDF]
28 12/03 (Wed) Final exam review - -