CS2050 Discrete Mathematics

CS2050 Discrete Mathematics FALL 2024 Sections A and B

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Course Information

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.

Evaluation

Schedule

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

Lecture Notes

HERE

Lecture Recordings

https://www.youtube.com/playlist?list=PLerMEx1Met7tdZvHntzJ731A6amAvs7S8

Other Resources

Introduction to Mathematical Philosophy by Bertrand Russell

What Is The Name Of This Book? By Robert Smullyan

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