Complexity Theory Courses and Certifications

Ryan O'Donnell

Undergraduate Computational Complexity Theory

Explore fundamental computational complexity theory through 28 comprehensive lectures covering P vs NP, reductions, space complexity, and randomized algorithms from Carnegie Mellon.

• YouTube
• 1 day 13 hours 36 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

Graduate Complexity Theory

Dive into advanced computational complexity theory with graduate-level lectures covering hierarchy theorems, circuits, interactive proofs, and cutting-edge research topics.

• YouTube
• 1 day 11 hours 50 minutes
• Self-Paced
• Free Video

Dr Trefor Bazett

Kolmogorov Complexity and Random Numbers - Understanding Pi Through Computational Theory

Explore Kolmogorov Complexity and its connection to randomness through an engaging mathematical journey that proves the infinity of prime numbers using computational concepts.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Intro to Theoretical Computer Science

6 ratings at Udacity

Learn the basic concepts in theoretical computer science. Discover what they imply for solving tough computational challenges.

• Udacity
• 13 hours
• Self-Paced
• Free Online Course

Ryan O'Donnell

Deterministic Communication Complexity - Lecture 23b of CS Theory Toolkit

Learn formal deterministic communication protocols, communication matrices, combinatorial rectangles, equality complexity, and the Log Rank conjecture.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Algorithmic Lower Bounds: Fun with Hardness Proofs

The class focuses on reductions and techniques for proving problems are computationally hard for a variety of complexity classes.

• MIT OpenCourseWare
• 31 hours
• Self-Paced
• Free Video

Automata Theory

20 ratings

This course covers the theory of automata and languages. We begin with a study of finite automata and the languages they can define (the so-called "regular languages." Topics include deterministic and

• edX
• 7 weeks, 5-10 hours a week
• Self-Paced
• Free Online Course (Audit)

NP-Complete Problems

Learn about NP-complete problems, known as hard problems that can’t be solved efficiently, and practice solving them using algorithmic techniques.

• edX
• 3 weeks, 8-10 hours a week
• Self-Paced
• Free Online Course (Audit)

Complexity Theory - Running Time Analysis of Algorithms

2418 ratings at Udemy

Learn Asymptotic Complexity, Running Times Analysis (O, Ω, θ) and Complexity Classes (P and NP)

• Udemy
• 1 hour 56 minutes
• Self-Paced
• Free Online Course

Introduction to Computation Theory

2 ratings

Students will examine the formal mathematics for foundational computation proofs, as well as gain tools to analyze hard computational problems themselves.

• Complexity Explorer
• 1 hour
• Self-Paced
• Free Certificate

Computation in Complex Systems

Explore computational complexity from search algorithms and solution landscapes to reductions and universality, covering P versus NP, NP-complete problems, undecidability, and worst-case versus random computation.

• Complexity Explorer
• Self-Paced
• Free Certificate

IIT Hyderabad;  NPTEL

Computational Complexity

Explore how time, space, randomness, circuits, communication, and interactive proofs define and relate computational complexity classes.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

IIT Kanpur;  NPTEL

Arithmetic Circuit Complexity

Study arithmetic circuits, circuit depth reduction, polynomial identity testing, and lower bounds for restricted computational models.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

The Royal Institution

What Computers Can't Do - With Kevin Buzzard

An accessible exploration of the P vs NP problem, asking whether every quickly verifiable solution can also be found quickly.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Theory of Computation, Fall 2020

Explore how computation can be modeled, what problems machines can solve, and how computational resources limit efficient problem solving.

• YouTube
• 1 day 8 hours
• Self-Paced
• Free Video