Combinatorics Courses and Certifications

Combinatorics and Probability

853 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
• Free Online Course (Audit)

Analytic Combinatorics

65 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
• Free Online Course (Audit)

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

Professor Knudson

Combinatorics

1 review

Explore fundamental concepts of combinatorics, including ordered sequences, permutations, and probability, with applications to real-world scenarios like poker hands.

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

Combinatorics: Strategies and Methods for Counting

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)

IIT Madras;  NPTEL

Combinatorics

Explore advanced counting techniques, generating functions, graph theory, and Polya theory. Gain insights into combinatorial structures and their applications in discrete mathematics.

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

Lower Bounds to Ramsey Numbers - MIT 18.226 Probabilistic Methods in Combinatorics

Delve into probabilistic methods in combinatorics, exploring Ramsey numbers through alteration techniques and the Lovász Local Lemma for advanced mathematical problem-solving.

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

Linearity of Expectations in Combinatorics - Applications to Permutations and Hamilton Paths

Master probabilistic combinatorics through practical applications, exploring random permutations and Hamilton paths in tournaments while learning key concepts of linearity of expectations.

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

Extremal Set Theory - Sperner's Theorem

Explore the fascinating world of Sperner's Theorem and learn how to determine the maximum number of subsets possible in an n-element set without subset containment.

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

Extremal Set Theory - Intersecting Families and the Erdős-Ko-Rado Theorem

Explore the probabilistic method in combinatorics through intersecting families of sets, featuring the Erdős-Ko-Rado theorem and its applications in extremal set theory.

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

Explore permutations, combinations, and their applications in computer science. Gain skills in mathematical identities, multisets, and enumerations using Python.

• Codecademy
• 1 hour
• On-Demand
• Free Trial Available

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

Combinatorics Math Olympiads

Comprehensive series on combinatorics for math Olympiads, covering key concepts and problem-solving techniques to excel in PRMO, RMO, and other competitive exams.

• YouTube
• 2 hours 30 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

Fields Institute

Challenges in Discrete Geometry - Part I- Convex Polytopes

Explore convex polytopes, from Euler's formula to modern combinatorial results. Discover connections to other mathematical areas and intriguing open problems in discrete geometry.

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