Graph Theory Courses

Complexity Explorer

Game Theory Tutorial - Static Games

Explore how strategic choices interact in static games, from Nash equilibrium and dominant strategies to mixed strategies and Bayesian examples.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

Complexity Explorer

Introduction to Information Theory Tutorial

A tutorial tracing how information is measured in bits, from entropy and probability to mutual information and communication capacity.

• YouTube
• 2 hours 6 minutes
• Self-Paced
• Free Video

For the Love of Physics

Special Theory of Relativity - Minkowski Spacetime Diagrams and Four Vectors

Explore how Lorentz transformations reshape measurements of time, length, and motion, then connect spacetime diagrams and four-vectors to relativistic predictions.

• YouTube
• 13 hours 59 minutes
• Self-Paced
• Free Video

Eddie Woo

Working with Functions - Comprehensive Course on Domain, Range, Notation, and Graph Transformations

Explore how function behavior emerges from notation, domain and range, symmetry, and graph transformations.

• YouTube
• 15 hours 51 minutes
• Self-Paced
• Free Video

Krista King

Applications of Derivatives - Optimization, Graph Sketching, Linear Approximation, Related Rates, and Physics Applications

Use derivatives to solve optimization problems involving geometric dimensions, from boxes and cylinders to shapes inscribed in other figures.

• YouTube
• 7 hours 42 minutes
• Self-Paced
• Free Video

Mathemaniac

Lie Groups, Algebras, and Brackets - Visual Introduction to Lie Theory

A visual introduction to Lie theory that builds intuition for higher-dimensional rotations, exponentiation, and the structure of Lie algebras.

• YouTube
• 2 hours 17 minutes
• Self-Paced
• Free Video

Michael Penn

Infinitely Many Primes of the Form an+b - Number Theory

Explore proof strategies for showing that infinitely many primes occur in forms such as 3n+1, 4n+1, and 4n+3.

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

Michael Penn

Proof Writing - Introduction to Mathematical Proofs and Set Theory

Learn to construct mathematical proofs using logic, induction, contradiction, and examples involving sets, relations, and functions.

• YouTube
• 7 hours 8 minutes
• Self-Paced
• Free Video

Engineering Mindset

Electricity Basics - Fundamentals of Electrical Theory and Circuits

Visual explanations connect basic voltage and current concepts to circuits and the electricity-bill effects of reactive power.

• YouTube
• 2 hours
• Self-Paced
• Free Video

TrevTutor

Introduction to Syntax in Linguistics - Generative Grammar, X-Bar Theory, and Movement

Analyzes sentence structure through generative grammar, with X-bar trees and movement as central tools.

• YouTube
• 5 hours 3 minutes
• Self-Paced
• Free Video

Tyler DeWitt

VSEPR Theory - Introduction to Molecular Geometry

A focused sequence on applying VSEPR theory, from common mistakes and practice to trigonal bipyramidal and octahedral molecular geometries.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Wrath of Math

Set Theory

A large collection of worked set theory proofs develops identities and subset relationships from basic set operations.

• YouTube
• 9 hours 34 minutes
• Self-Paced
• Free Video

CodeEmporium

Probability Theory for Machine Learning

Builds the probability foundations used in machine learning, from random variables and distributions to likelihood estimation.

• YouTube
• 2 hours 33 minutes
• Self-Paced
• Free Video

PapersWeLove

Zep - A Temporal Knowledge Graph Architecture for Agent Memory

See how Zep uses a temporal knowledge graph to give LLM applications long-horizon memory and personalization.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Nordic Semiconductor

Bluetooth Channel Sounding - From Theory to Practice on the nRF54L Series and Android

Explore how Bluetooth Channel Sounding estimates distance, then see it demonstrated on the nRF54L Series and in Android apps.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video