Combinatorics Courses and Certifications

MA111: Introduction to Mathematical Reasoning

This course introduces students to mathematical reasoning through topics such as logic, sets, number theory, rational numbers, mathematical induction, relations, functions, and combinatorics. By the end of the course, students will be able to apply logic…

• Saylor Academy
• 112 hours
• On-Demand
• Free Certificate

Institute for Advanced Study

Representation Theory & Combinatorics of the Symmetry Group and Related Structures - Monica Vazirani

Explore Representation Theory & Combinatorics of the Symmetry Group with Monica Vazirani from the Institute for Advanced Study. Less than 1-hour material.

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

Institute for Advanced Study

Spacetime and Quantum Mechanics; Particles and Strings; Polytopes, Binary Geometries and Quiver Categories - Nima Arkani-Hamed

Explore the connections between real-world physics and mathematical structures with Prof. Nima Arkani-Hamed from the Institute for Advanced Study. Dive into particle scattering, spacetime, quantum mechanics, and more in this 1-2 hour seminar.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Online Course

Institute for Advanced Study

An Introduction to Determinantal Point Processes - John C Urschel

Explore determinantal point processes in this 2-3 hour seminar by John C Urschel from the Institute for Advanced Study. Dive into random matrix theory, combinatorics, and machine learning applications.

• YouTube
• 2 hours 10 minutes
• On-Demand
• Free Online Course

Probability Bites

In this book you will learn about Bayes' Rule, Bayes Decision Rule, and the Central Limit Theorem. You will also learn about Combinatorics, Expected Value Practice Problems, and The Law of Iterated Expectation. The book is written in the form of a series…

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

statisticsmatt

Combinatorial Results

Dive into combinatorial results with Statisticsmatt's 6-hour program. Learn about probabilities, Vandermonde's Identity, and tackle real-world problems like poker hand probabilities and lottery calculations.

• YouTube
• 6 hours
• 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

Insights into Mathematics

The S3 Character Table - A New Meaning - Diffusion Symmetry

Explore diffusion symmetry, hypergroups, and fusion algebra with Insights into Mathematics. Delve into the S3 character table and its combinatorial interpretation in less than an hour.

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

Insights into Mathematics

Combinatorics - Math History - NJ Wildberger

Explore the vibrant theory of combinatorics with a historical perspective in this short online program by Insights into Mathematics. Dive into counting problems, graph theory, and generating functions.

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

Insights into Mathematics

Higher Data Structures - Data Structures in Mathematics Math Foundations

Explore complex data structures in mathematics with Insights into Mathematics. Learn about lists, ordered sets, multisets, and sets in under an hour.

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

IEEE

Explicit Near-Fully X-Ramanujan Graphs

Explore the concept of X-Ramanujan graphs with experts from Carnegie Mellon University in this short, intensive IEEE offering. Dive into finite permutations, matrix-weighted polynomials, and more.

• YouTube
• 22 minutes
• On-Demand
• Conference Talk

Joint Mathematics Meetings

Algebraic Structures on Polytopes

Explore algebraic structures on polytopes with Federico Ardila from San Francisco State University in this brief, intensive study offered by Joint Mathematics Meetings.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

IEEE

A Deterministic Algorithm for Counting Colorings with 2Δ Colors

Explore deterministic algorithms for counting colorings with IEEE. Learn about phase transition, partition function, and entropy in under an hour.

• YouTube
• 22 minutes
• On-Demand
• Conference Talk

Simons Institute

Improved Bounds for the Sunflower Lemma

Explore the "Sunflower Lemma" and its conjecture with Shachar Lovett from UC San Diego, offered by Simons Institute. Expect 1-2 hours of material.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Marina Iliopoulou- Three Polynomial Methods for Point Counting, Lecture III

Explore polynomial methods for point counting with Marina Iliopoulou at the Hausdorff Center for Mathematics. Dive into Dvir's Kakeya problem solution, Guth and Katz's polynomial partitioning, and the slice rank method.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course