3
CS 70: Discrete Mathematics and Probability Theory (Fall 2012, UC Berkeley). Instructor: Professor Umesh Vazirani.
FREE
This course includes
Hours of videos
666 years, 7 months
Units & Quizzes
24
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
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 Currilcum
- 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
