CS 70 at UC Berkeley
Discrete Mathematics and Probability Theory
Lectures: M/T/W/Th 2-3:30 p.m., 155 Dwinelle
Instructor Vrettos Moulos
vrettos (at) berkeley (dot) edu
Office Hours: W 4-5 p.m., F 2:30-3:30 p.m., 212 Cory
Week 1 Overview
Propositional Logic, Proofs, Induction
Week 2 Overview
Stable Marriage, Graph Theory, Countability, Computability
Week 3 Overview
Counting, Probability
Week 4 Overview
Conditional Probability, Discrete Random Variables, Expectation
- Note 14 : Conditional Probability
- Note 16 : Random Variables: Distribution and Expectation
- Note 17 : Variance
- Note 19 : Some Important Distributions
- Discussion 04a (solution)
- Discussion 04b (solution)
- Discussion 04c (solution)
- Discussion 04d (solution)
- Homework 03 (TeX) (solution)
- Homework 04 (TeX) (solution)
Week 5 Overview
Variance, Continuous Probability
- Note 16 : Random Variables: Distribution and Expectation
- Note 17 : Variance
- Note 19 : Some Important Distributions
- Note 20 : Continuous Probability
- Discussion 05a (solution)
- Discussion 05b (solution)
- Discussion 05c (solution)
- Discussion 05d (solution)
- Homework 04 (TeX) (solution)
- Homework 05 (TeX) (solution)
Week 6 Overview
Probability Inequalities, Markov Chains
Week 7 Overview
Modular Arithmetic, RSA, Error-Correcting Codes
Week 8 Overview
Final
Notes
There is no textbook for this class. Instead, there is a set of fairly comprehensive lecture notes. Make sure you revisit the notes after lecture. Each note may be covered in one or more lectures. See Syllabus for more information.
Discussions
The discussion sections will not cover new material, but rather will give you additional practice solving problems. You can attend any discussion section you like. However, if there are fewer desks than students, then students who are officially enrolled in that section will get seating priority. See Syllabus for more information.
Homeworks
All homeworks are graded for accuracy and it is highly-recommended that you do them. Your lowest homework score will be dropped, but this drop should be reserved for emergencies. See Syllabus for more information.