Combinatorics Courses and Certifications

More Counting Techniques - Pigeonhole Principle - Lecture 17

Explore advanced counting methods including the pigeonhole principle to tackle complex mathematical problems in computer science applications.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Counting Techniques - Lecture 16

Master product rules and counting methods through practical card examples in this mathematics for computer science lecture.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Counting - Binomial Coefficients, Bijections, and Catalan Numbers - Lecture 4

Master binomial coefficients, bijections, and counting techniques while exploring how Catalan numbers connect Dyck paths, plane trees, and binary trees in discrete mathematics.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Q Series via Box Arithmetic - Math Foundations 239

Explore q-series and Euler’s pentagonal formula through a box arithmetic that represents “nothing” with boxes and anti-boxes.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Wolfram

Mathematical Games - Ordering and Canonical Forms - Episode 21

Explore mathematical games and puzzles involving ordering and canonical forms with Ed Pegg Jr. in this engaging presentation on mathematical concepts and problem-solving techniques.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Wrath of Math

The ACTUAL Origin of the Fibonacci Sequence - Not Immortal Rabbits

Traces the Fibonacci sequence from Fibonacci’s rabbit problem to Pingala’s earlier counting of rhythmic patterns in Sanskrit poetry.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Complexity Explorer

Music Computation and Complexity: Combinations

Explore the relationship between music, computation, and complexity through combinations in this tutorial by Marco Buongiorno Nardelli from Santa Fe Institute.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

Jeremy Klassen

Combinations with Restrictions - Lesson 1.3.1

Master solving complex combination problems with restrictions through step-by-step methods and practical examples that enhance your mathematical problem-solving abilities.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Mr. Scott

Math 30-1 - Permutations and Combinations Mixed Review

Enhance your knowledge of permutations and combinations with this mixed review session for Math 30-1 students.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Proof of Sensitivity Conjecture

Discover the elegant mathematical proof that resolved the long-standing sensitivity conjecture in Boolean function complexity theory.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Wolfram

Mathematical Games - Covering Sets - Episode 31

Explore mathematical games and puzzles with Ed Pegg Jr., focusing on covering sets theory and problem-solving techniques in this engaging 57-minute session.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Wrath of Math

Introduction to Subfactorials and Derangements in Combinatorics

Explore the fascinating concept of subfactorials and derangements through an engaging mathematical journey, using real-world examples of men, hats, and probability calculations.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Wrath of Math

Introduction to Combinatorics and Counting Principles - From Basic Problems to Sieve Theorem

Explore fundamental combinatorics through basic counting problems, clever enumeration techniques, and the sieve theorem. Master essential principles for calculating elements in set unions and solving complex counting challenges.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Career Certificate

Introduction to Discrete Mathematics for Computer Science

3709 ratings at Coursera

Discrete math is the language of computer science: solve interactive puzzles, then learn combinatorics, probability, graph theory, number theory, cryptography, and the delivery problem through programming projects.

• Coursera
• 12 weeks, 10 hours a week
• Self-Paced
• Paid Course
• 5 courses

Data Analysis: Basic Probability and Statistics

7 ratings

Increase your quantitative reasoning skills through a deeper understanding of probability and statistics, with the engaging "Fat Chance" approach that's made this course a favorite among learners worl

• edX
• 7 weeks, 3-5 hours a week
• Self-Paced
• Free Online Course (Audit)