Graph Theory Courses

Search Theory and Price Dispersion - Lecture 9

Explore search theory, including search costs and price dispersion, in this industrial organization lecture by Glenn Ellison at MIT.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Production Theory - Lecture 5

Explore the fundamentals of production theory, including production functions, short and long-run production, returns to scale, and productivity in this MIT microeconomics lecture.

• YouTube
• 48 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Divisibility - Number Theory and Applications Through GCD and Extended Euclidean Algorithm - Lecture 8

Explore number theory fundamentals through divisibility, greatest common divisor (GCD), and the Extended Euclidean Algorithm in this MIT mathematics lecture.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Graph Matching - Maximum Weight, Stable, and Bipartite Matching - Lecture 12

Explore graph matching theory including maximum weight matching, stable matching, and bipartite/non-bipartite graph algorithms in this MIT mathematics lecture.

• YouTube
• 1 hour 22 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Probability Theory and Stochastic Processes I - Lecture 5

Explore Principal Components Analysis and foundational probability concepts including Central Limit Theorem, utility optimization, and stochastic processes like martingales in finance.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Regression Analysis - Theory and Applications in Finance - Lecture 11

Explore advanced regression techniques including ridge, lasso, and principal components methods with applications to ETF analysis and Capital Asset Pricing Model validation.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Linear Algebra (cont.) - Probability Theory - Lecture 4

Master linear algebra concepts like eigenvalues and SVD, then explore probability theory fundamentals including distributions and covariance for finance applications.

• YouTube
• 1 hour 21 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video