Welcome to discrete mathematics! This class is a foundational and very important. You should come to class thinking this is like a language learning class, the bare minimum needed to engage with the material in more advanced courses.
No. | Date | Subject | Video |
---|---|---|---|
1 | 1/8 | Why Logic? | L1 |
2 | 1/10 | Propositional Logic | L2 |
3 | 1/15 | Quantification | L3 |
4 | 1/17 | Inference | L4 |
5 | 1/22 | Proof | L5,L6 |
6 | 1/24 | More on Proof | L7 |
7 | 1/29 | Induction | L20 |
8 | 1/31 | Strong Induction | L21,L22 |
2/5 | Exam 1 (1-6) | ||
9 | 2/7 | Set Theory | L8 |
10 | 2/12 | Set Operations | L9 |
11 | 2/14 | Functions | L11 |
12 | 2/19 | Big O | L12 |
13 | 2/21 | Equivalence Relations | |
14 | 2/26 | Modular Arithmetic | L14 |
15 | 2/28 | Exam 2 (7-13) | |
16 | 3/5 | GCD and LCM | L15 |
17 | 3/7 | Bezout’s and Group Theory | L16 |
3/12 | Chinese Remainder Theorem | ||
18 | 3/14 | Fermat and Euler | L18 |
19 | 3/26 | RSA | L17 |
20 | 3/28 | Exam 3 (14-19) | |
21 | 4/2 | Permutations and Combinations | L23,L24 |
22 | 4/4 | Binomial Theorem | L24 |
4/9 | Stars and Bars | L25 | |
23 | 4/11 | Pigeonhole Principle | L26 |
24 | 4/16 | More Pigeonhole Principle | L27,L28 |
25 | 4/18 | Finite Probability Theory | L29,L30,L31 |
4/25 | Exam 4 (21-25) 11:20-2:10 |
https://www.youtube.com/playlist?list=PLerMEx1Met7tdZvHntzJ731A6amAvs7S8
Introduction to Mathematical Philosophy by Bertrand Russell
What Is The Name Of This Book? By Robert Smullyan
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