Combinatorics Courses and Certifications

Graph Theory and Additive Combinatorics (Fall 2019)

This course examines classical and modern developments in graph theory and additive combinatorics, with a focus on topics and themes that connect the two subjects.

• MIT OpenCourseWare
• 34 hours
• On-Demand
• Free Online Course

Analytic Combinatorics

60 ratings at Coursera

Learn how to make precise predictions about combinatorial structures using the symbolic method and complex analysis. Offered by Princeton University.

• Coursera
• 17 hours
• On-Demand
• Free Online Course (Audit)

Professor Knudson

Combinatorics

Learn combinatorics with Professor Knudson in under an hour, covering topics from ordered sequences to combinatorial probability.

• YouTube
• 30 minutes
• On-Demand
• Free Online Course

Kimberly Brehm

Discrete Math II/Combinatorics

Dive into discrete and combinatorial mathematics with Kimberly Brehm's 12-hour program, covering topics from permutations, combinations, to graph theory and Dijkstra’s shortest path algorithm.

• YouTube
• 12 hours
• On-Demand
• Free Online Course

Combinatorics and Probability

830 ratings at Coursera

Learn how to count efficiently and apply combinatorial techniques in real-life and algorithmic problems. Develop a strong intuition in probability theory. Duration: 6 weeks. Offered by Moscow Institute of Physics and Technology.

• Coursera
• 24 hours
• On-Demand
• Free Online Course (Audit)

University of Padova

Combinatorics: Strategies and Methods for Counting

1 rating at FutureLearn

Explore the wonderful world of combinatorics with this course exploring simple and efficient ways to count.

• FutureLearn
• 4 weeks, 6 hours a week
• On-Demand
• Free Online Course (Audit)

NPTEL;  Institute of Mathematical Sciences

Algebraic Combinatorics

The objective of this course is to introduce the student to some powerful paradigms in modern combinatorics. This includes Möbius inversion on partially ordered sets and combinatorial classes. It will also include an introduction to the theory of sy…

• Swayam
• 12 weeks
• 21st Jan, 2024
• Free Online Course

Combinatorics Math Olympiads

Combinatorics-PRMO,RMO,Olympiad Lecturs By Mohit Tyagi.#1-Combinatoric-PR MO,R MO,O Olympiad lectures.#2-Combinationics- PRMO, RMO, Olympiads Lectures By Moh it Tyagi.#3-Combinators-PRmo, R MO, O Olympiads.

• YouTube
• 2 hours 30 minutes
• On-Demand
• Free Online Course

Analytic Combinatorics, Part I

Learn the principles of analytic combinatorics in this online course from Princeton University. Gain a deep understanding of combinatorial structures and their properties.

• Coursera
• Finished
• Free Online Course (Audit)

Analytic Combinatorics, Part II

Learn advanced techniques in Analytic Combinatorics from Princeton University. Dive deeper into the world of combinatorial structures and their analysis.

• Coursera
• Finished
• Free Online Course (Audit)

Introduction to Enumerative Combinatorics

2 reviews

Explore the principles of enumerative combinatorics in an 8-week course by Higher School of Economics. Learn about permutations, binomial coefficients, Fibonacci and Catalan numbers, and generating functions.

• Coursera
• 8 weeks
• Finished
• Free Online Course (Audit)

IIT Madras;  NPTEL

Combinatorics

We start with the finite and infinite avatars of the Pigeonhole Principle. Basic counting tools and the twelvefold way followed bycompositionsand partitions ofintegers and Stirlingnumbers. We then look atPolya'stheorem,graphs andconclude with a short int…

• Swayam
• 12 weeks
• Finished
• Free Online Course

Современная комбинаторика (Modern combinatorics)

Explore the depth of modern combinatorics in an 8-week course by Moscow Institute of Physics and Technology. Gain a foundation for understanding complex networks and applications in computer science.

• Coursera
• 8 weeks
• Finished
• Free Online Course (Audit)

Universidad Católica de Murcia

Introducción a la Teoría Combinatoria

Introducimos la teoría combinatoria: variaciones, permutaciones, combinaciones, números binomiales…, aprendiendo los contenidos básicos de conteo que podemos aplicar en áreas donde se requiere contar con elementos de conjuntos finitos, como Matemática Di…

• Miríadax
• 6 weeks
• Finished
• Free Online Course