Discrete Mathematics Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days

Explore advanced discrete mathematics and number theory applications in theoretical physics through expert lectures on combinatorial structures, algebraic geometry, and computational methods.

• YouTube
• 16 hours 14 minutes
• Self-Paced
• Free Video

Institut Henri Poincaré

Combinatorics and Interactions - Asymptotic Representation Theory, Random Maps, and Enumerative Geometry

Explore advanced combinatorics through asymptotic representation theory, random maps, dimer models, and enumerative geometry in this comprehensive research trimester program.

• YouTube
• 3 days 8 hours 29 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Combinatorics of Fundamental Physics Workshop

Explore advanced mathematical structures connecting combinatorics with fundamental physics through expert lectures on amplitudes, correlators, and geometric frameworks.

• YouTube
• 18 hours 20 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

Great Ideas in Theoretical Computer Science

Explore fundamental concepts in theoretical computer science including logic, computability, complexity theory, algorithms, probability, and quantum computing through CMU lectures.

• YouTube
• 1 day 8 hours 35 minutes
• Self-Paced
• Free Video

Discover AI

In-Context Learning Over Graphs for Large Language Models - PRODIGY Method

Explore PRODIGY, Stanford's innovative approach to graph machine learning that enables in-context learning for classification tasks on unseen graphs, advancing LLM reasoning capabilities.

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

Numberphile

Immense Subcubic Graphic Numbers

Explore the fascinating world of immense subcubic graphic numbers with mathematician Richard Elwes in this engaging mathematical deep dive.

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

IIT Ropar;  NPTEL

Discrete Mathematics - IIT Ropar

Comprehensive introduction to Discrete Mathematics, covering counting, set theory, logic, relations, functions, and graph theory. Emphasizes problem-solving and proofs with practical applications.

• Swayam
• 12 weeks
• No Longer Offered
• Free Online Course

Discrete Mathematics for CS

Master essential discrete mathematics concepts from proofs and combinatorics to graph theory, number theory, and algebra, with practical applications in computer science and cryptography.

• Swayam
• 12 weeks
• No Longer Offered
• Free Online Course

IIT Guwahati;  NPTEL

Discrete Mathematics (IITG)

Explore fundamental concepts in logic, set theory, number theory, algebra, combinatorics, and graph theory. Develop critical thinking and problem-solving skills essential for computer science and mathematics.

• Swayam
• 12 weeks
• Not Currently Offered
• Free Online Course

IIT Ropar;  NPTEL

Discrete Mathematics (IITRopar)

Comprehensive introduction to essential discrete mathematics concepts, emphasizing problem-solving and proofs. Covers counting, set theory, logic, relations, functions, and more, with motivational illustrations and applications.

• Swayam
• 12 weeks
• Not Currently Offered
• Free Online Course

The Algebra of Logic - X² = X

Explore the fascinating algebra of logic through arithmetic laws, set theory foundations, and early computer science principles in this engaging mathematical journey.

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

Counting Problems - Combinations and Pascal's Triangle Identity C(n, k) = C(n − 1, k) + C(n − 1, k − 1)

Explore combinatorics through Pascal's triangle and binomial coefficients, uncovering the mathematical beauty of counting arrangements and combinations in this engaging talk.

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

Pigeonhole Principle - Lecture 1

Discover the pigeonhole principle and its surprising applications in discrete mathematics, plus explore probability foundations and sample spaces.

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

Data Compression and Shannon's Noiseless Coding Theorem - Lecture 16

Explore data compression fundamentals, entropy concepts, and Shannon's noiseless coding theorem to understand optimal compression ratios for first-order sources.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Generating Functions for Catalan Numbers - Lecture 7

Discover how to derive generating functions for Catalan numbers and apply them to find explicit formulas in this MIT discrete mathematics lecture.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video