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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.
Lecture Number | Date A | Topic | Date B | Video | Notes | Rosen | Other |
---|---|---|---|---|---|---|---|
1 | Aug 20 | Why Logic? | Aug 19 | L1 | 1.1 | ||
2 | Aug 22 | Propositional Logic | Aug 21 | L2 | 1.2 | ||
3 | Aug 27 | Quantification | Aug 26 | L3 | 1.4-1.5 | ||
4 | Aug 29 | Inference | Aug 28 | L4 | 1.6 | ||
5 | Sep 03 | Proof | Sep 04 | L5,L6 | 1.7 | ||
6 | Sep 05 | More on Proof | Sep 09 | L7 | 1.8 | ||
7 | Sep 10 | Induction | Sep 11 | L20 | 5.1 | ||
8 | Sep 12 | Strong Induction | Sep 16 | L21,L22 | 5.2,5.3 | ||
9 | Sep 17 | EXAM 1 | Sep 18 | ||||
10 | Sep 19 | Set Theory | Sep 23 | L8 | 2.1 | ||
11 | Sep 24 | Set Operations | Sep 25 | L9 | 2.2 | ||
12 | Sep 26 | Functions | Sep 30 | L11 | 2.3 | ||
13 | Oct 01 | Big O Notation | Oct 02 | L12 | 3.2 | ||
14 | Oct 03 | Equivalence relations | Oct 07 | 9.5 | |||
15 | Oct 08 | Modular Arithmetic | Oct 09 | L14 | |||
16 | Oct 10 | Cardinalities of Sets | Oct 16 | ||||
17 | Oct 17 | GCD and LCM | Oct 21 | L15 | |||
18 | Oct 22 | Bezouts and Group Theory | Oct 28* | L16 | |||
19 | Oct 24 | EXAM 2 | Oct 23* | ||||
20 | Oct 29 | Chinese Remainder Theorem | Oct 30 | L18 | |||
21 | Oct 31 | Fermat and Euler | Oct 04 | L17 | |||
22 | Nov 05 | RSA | Nov 06 | L19 | |||
23 | Nov 07 | Sum and Product Rule | Nov 11 | L23 | |||
24 | Nov 12 | Permutations, Combinations, Binomial Theorem | Nov 12 | L24 | |||
25 | Nov 14 | Stars and Bars | Nov 18 | L25 | |||
26 | Nov 19 | EXAM 3 | Nov 20 | L26 | 6.2 | ||
27 | Nov 21 | Pigeonhole Principle | Nov 25 | ||||
28 | Nov 26 | Generalized Pigeonhole Principle | Dec 02 | L27,L28 | 6.2 | ||
29 | Dec 03 | Finite Probability Theory | L29,L30 | 7.1-7.3 | |||
Dec 05 | FINAL EXAM | Dec 11 |
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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Submission of any work not your own can result in anything from a zero on the assignment to a report to OSI.