Combinatorics Courses

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 worth of material
• On-Demand
• Free Online Course

Combinatorics and Probability

806 ratings at Coursera

Counting is one of the basic mathematically related tasks we encounter on a day to day basis. The main question here is the following. If we need to count something, can we do anything better than just counting all objects one by one? Do we need to creat…

• Coursera
• 24 hours worth of material, 6 weeks long
• 13th Feb, 2023
• Free Online Course (Audit)

Analytic Combinatorics

56 ratings at Coursera

Analytic Combinatorics teaches a calculus that enables precise quantitative predictions of large combinatorial structures. This course introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating…

• Coursera
• 17 hours worth of material, 8 weeks long
• 27th Feb, 2023
• Free Online Course (Audit)

Professor Knudson

Combinatorics

Syllabus: Combinatorics: Ordered Sequences. Combinatorics: Permutations. Combinatorics: Multinomial Coefficients. Combinatorics: When Order Doesn't Matter. Combinatorial Probability. Combinatorial Probabiity: Should I be happy I got a pair in poker?.

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Kimberly Brehm

Discrete Math II/Combinatorics

Syllabus: Combinatorics 1.1 The Rules of Sum and Product. Combinatorics 1.2 Permutations. Combinatorics 1.3 Combinations - The Binomial Theorem. Combinatorics 1.4 Combinations with Repetition. Combinatorics 4.1 The Well Ordering Principle - Mathematical…

• YouTube
• 12 hours worth of material
• On-Demand
• Free Online Course

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
• 6 hours a week, 4 weeks long
• Self paced
• Free Online Course (Audit)

NPTEL;  Institute of Mathematical Sciences

Algebraic Combinatorics

About the Course:The objective of this course is to introduce the student to some powerful paradigms in modern combinatorics, namely Möbius inversion on partially ordered sets, combinatorial classes and combinatorial species, and the Lindström-…

• Swayam
• 12 weeks long
• 22nd Jan, 2023
• Free Online Course

Combinatorics Math Olympiads

Syllabus: #1-Combinatorics-PRMO,RMO,Olympiad Lecturs By Mohit Tyagi. #2-Combinatorics-PRMO,RMO,Olympiad Lecturs By Mohit Tyagi. #3-Combinatorics-PRMO,RMO,Olympiad Lecturs By Mohit Tyagi. #4-Combinatorics-PRMO,RMO,Olympiad Lecturs By Mohit Tyagi. #5-Combi…

• YouTube
• 2-3 hours worth of material
• On-Demand
• Free Online Course

Analytic Combinatorics, Part I

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis…

• Coursera
• 8th Feb, 2013
• Free Online Course (Audit)

Analytic Combinatorics, Part II

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part II introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating functions, and…

• Coursera
• 29th Mar, 2013
• Free Online Course (Audit)

Introduction to Enumerative Combinatorics

2 reviews

Enumerative combinatorics deals with finite sets and their cardinalities. In other words, a typical problem of enumerative combinatorics is to find the number of ways a certain pattern can be formed. In the first part of our course we will be dealing w…

• Coursera
• 111 hours worth of material, 8 weeks long
• 7th Mar, 2022
• Free Online Course (Audit)

IIT Madras;  NPTEL

Combinatorics

We start with the finite and infinite avatars ofthe Pigeonhole Principle, Basic counting tools and the twelvefold way followed bycompositionsand partitions ofintegers and Stirlingnumbers.We then look atInclusion exclusion and Mobius inversion followed b…

• Swayam
• 12 weeks long
• 24th Jul, 2022
• Free Online Course

Современная комбинаторика (Modern combinatorics)

Комбинаторика - это наука, которая, с одной стороны, богата исключительно красивыми постановками задач, зачастую доступными школьнику, а с другой стороны, это очень глубокая современная область знаний, без овладения инструментами которой невозможно серье…

• Coursera
• 32 hours worth of material, 8 weeks long
• 21st Mar, 2022
• 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 long
• 3rd Nov, 2014
• Free Online Course