Combinatorics Courses and Certifications

Combinatorics and Probability

869 ratings at Coursera

Explore combinatorics and probability through counting techniques, binomial coefficients, and random variables. Develop intuition for solving complex problems and apply knowledge to create a program for an intriguing dice game.

• Coursera
• 23 hours 5 minutes
• On-Demand
• Paid Course

Analytic Combinatorics

72 ratings at Coursera

Explore precise quantitative predictions of large combinatorial structures through symbolic methods, generating functions, and complex analysis for deriving accurate asymptotics.

• Coursera
• 17 hours
• On-Demand
• Paid Course

Combinatorics (University Level) : Counting Principles

111 ratings at Udemy

Counting for Data Science, GRE, DAT, GMAT, probability, and combinatorics!

• Udemy
• 5 hours 43 minutes
• On-Demand
• Paid Course

Combinatorics and Algorithms Design

Master combinatorial mathematics and algorithm design principles through advanced counting techniques, generating functions, recurrence relations, and problem-solving strategies.

• XuetangX
• On-Demand
• Free Online Course

NPTEL;  Institute of Mathematical Sciences

Algebraic Combinatorics

Explore advanced combinatorics: Möbius inversion, combinatorial classes, LGV lemma, and symmetric functions. Ideal for graduate-level mathematics and computer science students.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Mathemaniac

Deep Dive into Combinatorics

Explore advanced combinatorics beyond school curriculum, covering Catalan numbers, their generalizations, and mathematical research thinking processes.

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

Centre International de Rencontres Mathématiques

Descriptive Graph Combinatorics and Advanced Topics in Combinatorial Mathematics

Explore advanced mathematical topics through expert lectures on graph theory, random structures, algebraic combinatorics, and their applications in modern mathematics.

• YouTube
• 1 week 2 days 20 hours 33 minutes
• On-Demand
• Free Video

Probabilistic Methods in Combinatorics - Fall 2024

Discover powerful probabilistic techniques for solving complex combinatorial problems, including Ramsey theory, extremal set theory, and random graph analysis.

• YouTube
• 3 hours 37 minutes
• On-Demand
• Free Video

Insights into Mathematics

Combinatorics - Math History - NJ Wildberger

Explore combinatorics through historical examples, counting problems, graph theory, and generating functions. Delve into partitions, Fibonacci numbers, Catalan sequence, and famous theorems in this engaging mathematical journey.

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

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days Tenth Anniversary Edition

Explore discrete mathematics and number theory applications in theoretical physics through combinatorial structures, Hopf algebras, and computational methods.

• YouTube
• 19 hours 22 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days 2022

Explore advanced discrete mathematics and number theory applications in theoretical physics, covering renormalization, combinatorial structures, and computational methods.

• YouTube
• 14 hours 29 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• Free Video

Center for Science of Information NSF STC

Combinatorics - Rule of Sum, Rule of Product, Permutations, and Combinations

Discover fundamental counting principles including permutations, combinations, binomial coefficients, and problem-solving techniques for discrete mathematical structures.

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