Discrete Mathematics and Probability Theory

CS70 at UC Berkeley, Summer 2023

Nate Tausik, Nikki Suzani, Victor Huang

Calendar

Week Date Lecture Resources Notes Discussion Homework
0 Mon 6/19 No class; Juneteenth holiday     [Disc 0B,solutions] [Disc 0C,solutions] [Disc 0D,solutions] HW 0,solutions
0 Tue 6/20 Introduction [lecture] / [pdf] / [pptx], Propositional Logic [lecture] / [pdf] / [pptx] [slides (intro)] [slides (prop logic)] Note 0 / Note 1    
0 Wed 6/21 Proofs [lecture] / [pdf] / [pptx] slides Note 2    
0 Thu 6/22 Induction [lecture] / [pdf] / [pptx] slides Note 3    
1 Mon 6/26 Stable Matching [lecture] / [pdf] / [pptx] slides Note 4 [Disc 1A,solutions] [Disc 1B,solutions] [Disc 1C,solutions] [Disc 1D,solutions] HW 1,solutions
1 Tue 6/27 Sets and Functions [lecture] lecture notes Note 0 / Note 11    
1 Wed 6/28 Countability and Computability; Quiz 1 from 7-8pm [lecture] [lecture notes (template)] [lecture notes (filled)] [lecture notes (typed, with CSB proof)] Note 11 / Note 12    
1 Thu 6/29 Graphs I [lecture] [lecture notes (template)] [lecture notes (filled)] Note 5    
2 Mon 7/3 Graphs II [lecture] [lecture notes (template)] [lecture notes (filled)] Note 5 [Disc 2A,solutions] [Disc 2C,solutions] [Disc 2D,solutions] HW 2,solutions
2 Tue 7/4 No lecture; independence day        
2 Wed 7/5 Modular Arithmetic I [lecture] [lecture notes (template)] [lecture note (filled)] Note 6    
2 Thu 7/6 Modular Arithmetic II [lecture] [lecture notes (template)] [lecture notes (filled)] Note 6    
3 Mon 7/10 Modular Arithmetic III (RSA) [lecture] [lecture notes (template)] [lecture notes (filled)] Note 7 [Disc 3A,solutions] [Disc 3B,solutions] [Disc 3C,solutions] [Disc 3D,solutions] HW 3,solutions
3 Tue 7/11 Polynomials [lecture] [lecture notes (template)] [lecture notes (filled)] Note 8    
3 Wed 7/12 Counting I; Quiz 2 from 7-8pm [lecture] [lecture notes (template)] [lecture notes (filled)] Note 10    
3 Thu 7/13 Counting II [lecture] [lecture notes (template)] [lecture notes (filled)] Note 10    
4 Mon 7/17 Discrete Probability [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 13 [Disc 4A,solutions] [Disc 4B,solutions] [Disc 4C,solutions] [Disc 4D,solutions] HW 4,solutions
4 Tue 7/18 Conditional Probability I, Bayes Rule [lecture] / [pdf] / [pptx] slides Note 14    
4 Wed 7/19 Conditional Probability II [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 14    
4 Thu 7/20 Random Variables [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 15 / Note 19    
5 Mon 7/24 Expectation I [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 15 / Note 19 [Disc 5A,solutions] [Disc 5B,solutions] [Disc 5C,solutions] [Disc 5D,solutions] HW 5,solutions
5 Tue 7/25 Expectation II [lecture] / [pdf] / [pptx] slides Note 20    
5 Wed 7/26 Variance, Covariance, Correlation; Quiz 3 from 7-8pm [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 16    
5 Thu 7/27 Concentration Inequalities [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 17    
6 Mon 7/31 Markov Chains I [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 22 [Disc 6A,solutions] [Disc 6B,solutions] [Disc 6C,solutions] [Disc 6D,solutions] HW 6,solutions
6 Tue 8/1 Markov Chains II [lecture] / [pdf] / [pptx] slides Note 22    
6 Wed 8/2 Continuous Probability I [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 21    
6 Thu 8/3 Continuous Probability II [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 21    
7 Mon 8/7 Continuous Probability III [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)] Note 21 [Disc 7A,solutions] [Disc 7B,solutions] HW 7,solutions
7 Tue 8/8 Review Session [lecture] / [pdf] / [pptx] [slides (template)] [slides (filled)]      
7 Wed 8/9 Error Correcting Codes with Professor Guruswami (Special Topics) [lecture]        
7 Thu 8/10 The Limits of Computation with Avik Das (Special Topics); Final on 8/11 from 6-9pm [lecture]        

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