Graph Theory Courses

Fundamental Methods of Projection Theory - Lecture 2

Explore two fundamental methods for studying projections: Kaufman and Falconer's double counting technique and Fourier analysis approach from the 1960s-70s.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Corpus Studies and Statistics in Computational Music Theory - Class 14

Explore advanced corpus analysis techniques in computational music theory, examining Bach and Haydn through statistical methods and music21 tools for distant listening.

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

Music Representation and Hierarchies in Computational Music Theory - Class 7

Explore advanced music representation techniques and hierarchical structures through computational analysis using music21 modules and scholarly readings.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Feature Extraction and Machine Learning in Computational Music Theory - Class 28

Explore computational music analysis through feature extraction and machine learning techniques applied to popular songs like Baby Shark and melodic similarity studies.

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

Music Information Retrieval - Sound to Score and Music Theory - Video 9a

Explore how Music Information Retrieval transforms audio into musical notation, addressing key challenges in computational music theory and analysis.

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

Principles of Microeconomics: Producer Theory and Cost Analysis - Lecture 6

Explore producer theory fundamentals, including short-run and long-run cost curves, supply curve origins, and cost measurement techniques in microeconomics.

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

Production Theory - Lecture 5

Explore production theory concepts including production functions, short and long-run production, returns to scale, and productivity with Prof. Gruber in this microeconomics lecture.

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

Basic Group Theory - Lecture 11

Explore fundamental group theory concepts including group definitions, subgroups, cosets, and Lagrange's theorem, culminating in a proof of Fermat's little theorem.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Threshold for a Random Graph to Contain a Triangle - MIT 18.226

Explore probabilistic methods to determine when random graphs develop triangles, using first and second moment analysis techniques in combinatorial mathematics.

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

Extremal Set Theory - Sperner's Theorem

Explore the fascinating world of Sperner's Theorem and learn how to determine the maximum number of subsets possible in an n-element set without subset containment.

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

Extremal Set Theory - Intersecting Families and the Erdős-Ko-Rado Theorem

Explore the probabilistic method in combinatorics through intersecting families of sets, featuring the Erdős-Ko-Rado theorem and its applications in extremal set theory.

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

Introduction to Nonequilibrium Theory: Onsager Reciprocity and Maximum Entropy Production - Lecture 21

Delve into advanced thermodynamics concepts including Onsager reciprocity, thermal conductivity tensors, and nonequilibrium theory through detailed mathematical derivations and practical applications.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

How People Learn - Cognitive Load Theory

Explore cognitive load theory, working memory, and instructional bottlenecks to understand how people process information and learn effectively in educational technology contexts.

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

Projection Theory - Spring 2025

Explore advanced projection theory connecting geometry, harmonic analysis, and combinatorics through studying objects via their shadows in different directions.

• YouTube
• 1 day 7 hours 32 minutes
• Self-Paced
• Free Video

Relativistic Quantum Field Theory I - Spring 2023

Master quantum field theory fundamentals through MIT's comprehensive exploration of relativistic QFT, covering canonical quantization, Feynman diagrams, and QED applications.

• YouTube
• 1 day 10 hours 9 minutes
• Self-Paced
• Free Video