0
(
ratings
)
3
students
Created by:
Last updated:
September 23, 2023
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
CS 70: Discrete Mathematics and Probability Theory (Fall 2012, UC Berkeley). Instructor: Professor Umesh Vazirani.
This course discusses the foundation for many algorithms, concepts, and techniques in the field of Electrical Engineering and Computer Science. Topics covered in this course include: Logic, infinity, and induction; applications include undecidability and stable marriage problem. Modular arithmetic and GCDs; applications include primality testing and cryptography. Polynomials; examples include error correcting codes and interpolation.
Course Curriculum
- Lecture 01 – Instruction, Propositions and Quantifiers Unlimited
- Lecture 02 – Quantifiers, Proofs Unlimited
- Lecture 03 – Proofs Unlimited
- Lecture 04 – Induction Unlimited
- Lecture 05 – Induction: Three Forms of Induction, Strengthening the Induction Hypothesis Unlimited
- Lecture 06 – The Stable Marriage Problem Unlimited
- Lecture 07 – Modular Arithmetic Unlimited
- Lecture 08 – Euclid’s GCD Algorithm, Bijections Unlimited
- Lecture 09 – Fermat’s Little Theorem, RSA Cryptosystem Unlimited
- Lecture 10 – Polynomials, Finite Fields Unlimited
- Lecture 11 – Secret Sharing, Finite Fields, Erasure Codes Unlimited
- Lecture 12 – Error Correcting Codes Unlimited
- Lecture 14 – Graphs and Induction Unlimited
- Lecture 15 – Counting Unlimited
- Lecture 16 – Probability Unlimited
- Lecture 17 – Birthday Paradox, Monty Hall Paradox Unlimited
- Lecture 19 – Independence, Unions, Random Variables Unlimited
- Lecture 20 – Expectation Variance Unlimited
- Lecture 21 – Variance, Markov’s Inequality, Chebyshev’s Inequality Unlimited
- Lecture 22 – Geometric, Poisson Distributions Unlimited
- Lecture 23 – Continuous Probability Unlimited
- Lecture 24 – Exponential Distribution, Gaussian Distribution, Kalman Filter Unlimited
- Lecture 25 – Inference, Kalman Filter, Midterm Unlimited
- Lecture 26 – Countable, Uncountable, Uncomputable Unlimited
About the instructor
5
5
Instructor Rating
6
Reviews
4637
Courses
24154
Students
OpenCoursa
We are an educational and skills marketplace to accommodate the needs of skills enhancement and free equal education across the globe to the millions. We are bringing courses and trainings every single day for our users. We welcome everyone woth all ages, all background to learn. There is so much available to learn and deliver to the people.
