Graph Theory Courses

Pianote

Piano Music Theory for Dropouts

Music theory can be a chore for many learners. But theory is the language of music, and once you can speak it -- a whole new world opens up. Cassi will show you how simple and fun theory can be, and how your playing will improve dramatically by learning…

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Minor Scale Theory Made Simple - The Ultimate Guide

Natural, harmonic, melodic, and relative minors, plus Dorian.

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

Number Theory

Comprehensive exploration of number theory, covering foundational concepts to advanced topics like quadratic reciprocity, integer partitions, and Ramanujan's congruences.

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

Assorted Group Theory

Explore the fascinating world of group theory, delving into complex orders and the intriguing connections between abstract algebra and geometric shapes.

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

patrickJMT

Game Theory

Explore optimal solutions in conflict situations through game theory, with applications in economics, sociology, and political science.

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

Steve Brunton

Control Theory and COVID-19

Explore exponential growth, its applications, and control theory in relation to COVID-19, covering models, sensors, and control design strategies.

• YouTube
• 2 hours 30 minutes
• Self-Paced
• Free Video

IIT Bombay;  NPTEL

A Basic Course in Number Theory

Develop foundational knowledge in number theory, covering prime numbers, quadratic reciprocity, binary quadratic forms, and Diophantine equations. Gain skills for advanced study in the field.

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

IIT Madras;  NPTEL

Classical Sociological Theory

Explore the foundations of sociology through key theorists like Marx, Durkheim, and Weber. Develop a sociological perspective and gain theoretical insights into the discipline's emergence and evolution.

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

IIT Kanpur;  NPTEL

Computational Number Theory and Algebra

Explore fundamental algebraic concepts in computation, covering fast multiplication, primality testing, error-correcting codes, and cryptography. Gain practical skills applicable to various industries.

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

Music Theory Level 2: Part Seven

Gain understanding of harmonization, including finding chords for melodies, experimenting with progressions, and applying concepts like counterpoint, inversions, and figured bass.

• Kadenze
• 4 hours
• Self-Paced
• Free Online Course

Music Theory Level 2: Part Eight

Explore advanced harmonic techniques to expand beyond traditional progressions. Learn cadential, neighboring, and arpeggiating 6/4 chords, tonic expansions, and new analysis notations for innovative compositions.

• Kadenze
• 2 hours
• Self-Paced
• Free Online Course

IIT Roorkee;  NPTEL

International Trade - Theory And Empirics

Conceptual framework for understanding trade strategies, policies, and theories. Covers protectionism, trade barriers, international agreements, and economic impacts of global commerce.

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

Applied Algebraic Topology Network

Scalable Computation of the Extremum Graph

Explore scalable computation of extremum graphs, a simplified topological descriptor for scalar functions, with applications in visualization and shape analysis. Learn efficient parallel algorithms for large datasets.

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

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.

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

Hausdorff Center for Mathematics

An Introduction to Geometric Sen Theory

Explore geometric Sen theory, its applications to Shimura varieties, and connections with proétale cohomology. Learn about solid locally analytic representations and perfectoid Shimura varieties.

• YouTube
• 1 hour 58 minutes
• Self-Paced
• Free Video