Graph Theory Courses

Projection Theory in Euclidean Space - Lecture 3

Explore fundamental projection theory methods adapted for Euclidean space, examining multiple scales and their mathematical applications in this advanced mathematics lecture.

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

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

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
• Self-Paced
• 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
• Self-Paced
• 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
• 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

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

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

Externalities in Theory and Practice - Lecture 3

Explore externalities through real-world examples of climate change and forest fires in this MIT public finance lecture by Prof. Jonathan Gruber.

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

Social Insurance Theory - Lecture 10

Explore inequality and government transfer programs through social insurance theory with Prof. Gruber's comprehensive analysis of public policy mechanisms.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video