Week 1

Logic

Week 2

Proof Methods

Week 3

Sets & Functions

Week 4

Number Theory

Week 5

Number Theory

Week 6

Midterm

Week 7

Induction and Recursion

Week 8

Relations

Week 9

Combinatorics

Week 10

Discrete Probability

Week 11

Discrete Probability

Week 12

Graph Theory

Week 13

Graph Theory

Week 14

Final Review

WeekRequired ReadingsLectures
1 (9/13) 1.1, 1.3.1-4
(9/15) 1.4.1-10, 1.5
(9/13) Propositional Logic
(9/15) Predicate Logic
2 (9/20) 1.7
(9/22) 1.8.1-7, 1.8.10
(9/20) Proof Methods I
(9/22) Proof Methods II
3 (9/27) 2.1, 2.2.1-3, 2.3.1-3
(9/29) 2.5
(9/27) Sets & Functions
(9/29) Cardinality of Sets
4 (10/4) 4.1, 4.2
(10/6) 4.3
(10/4) Introduction to Number Theory
(10/6) Primes and GCD
5 (10/11) 4.4
(10/13) 4.6
(10/11) Solving Congruences
(10/13) Cryptography
6 (10/18) Midterm Review
(10/20) Midterm Exam
7 (10/25) 5.1, 5.2.1-3
(10/27) 5.2.5, 5.3
(10/25) Induction
(10/27) Well-ordering and Recursive Definitions
8 (11/3) 9.1. 9.4, 9.5 (11/1) Enjoy your break!
(11/3) Relations
9 (11/8) 6.1, 6.2
(11/10) 6.3, 6.4, 6.5
(11/8) Counting and the Pigeonhole Principle
(11/10) Permutations and Combinations
10 (11/15) 7.1
(11/17) 7.2, 7.3
(11/15) Introduction to Discrete Probability
(11/17) Conditional Probability
11 (11/22) 7.4
(11/22) Random Variables
(11/24) Enjoy your break!
12 (11/29) 10.1, 10.2
(12/1) 10.3, 10.4
(11/29) Introduction to Graphs
(12/1) Representation and Connectivity
13 (12/6) 10.5
(12/8) 10.7, 10.8
(12/6) Euler and Hamilton Paths
(12/8) Planar Graphs and Coloring
14 (12/13) Final Review