Combinatorics courses can help you learn counting principles, permutations, combinations, and graph theory. You can build skills in problem-solving, algorithm design, and mathematical reasoning, which are crucial for fields like computer science and operations research. Many courses introduce tools such as generating functions and combinatorial algorithms, which are used to solve complex problems in optimization and data analysis.

Princeton University
Skills you'll gain: Graph Theory, Data Structures, Algorithms, Theoretical Computer Science, Operations Research, Computer Programming, Java Programming, Java
Intermediate · Course · 3 - 6 Months

Universidad Nacional Autónoma de México
Skills you'll gain: Algebra, Mathematical Software, Trigonometry, Mathematical Modeling, Graphing, Geometry, Arithmetic, Calculus
Beginner · Course · 1 - 3 Months

Skills you'll gain: Algorithms, Graph Theory, Data Structures, C++ (Programming Language), C and C++, Programming Principles, Computer Programming, Object Oriented Programming (OOP), Theoretical Computer Science
Intermediate · Specialization · 1 - 3 Months

The Hong Kong University of Science and Technology
Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Analysis, Numerical Analysis, Integral Calculus, Mathematical Software, Calculus, Engineering Calculations, electromagnetics, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Advanced Mathematics, Geometry, Computational Thinking, Simulation and Simulation Software, Mechanics, Scripting
Beginner · Specialization · 3 - 6 Months

University of London
Skills you'll gain: Pseudocode, Algorithms, Computer Science, Data Structures, Diagram Design
Beginner · Course · 1 - 4 Weeks

University of California San Diego
Skills you'll gain: Graph Theory, Graphing, Combinatorics, Network Analysis, Algorithms, Mathematical Theory & Analysis, Theoretical Computer Science, Traffic Flow Optimization, Program Development
Beginner · Course · 1 - 3 Months

Johns Hopkins University
Skills you'll gain: Political Sciences, Policy Analysis, Social Justice, Economics, Policy, and Social Studies, Public Affairs, Social Sciences, Public Policies, Game Theory, Demography, Mathematical Modeling, Decision Intelligence, General Mathematics, Diversity Awareness, Logical Reasoning, Applied Mathematics
Mixed · Course · 1 - 3 Months

Rice University
Skills you'll gain: Computational Thinking, Event-Driven Programming, Algorithms, Combinatorics, Graph Theory, Programming Principles, Application Development, Object Oriented Programming (OOP), Data Structures, Theoretical Computer Science, Probability, Video Game Development, Bioinformatics, Interactive Design, Animation and Game Design, Python Programming, Data Analysis, Program Development, UI Components, Computer Programming
Beginner · Specialization · 3 - 6 Months

Board Infinity
Skills you'll gain: Critical Thinking and Problem Solving, Logical Reasoning, Analytical Skills, Deductive Reasoning, Critical Thinking, Problem Solving, Complex Problem Solving, Computational Logic, Applied Mathematics, Combinatorics, Geometry, Arithmetic
Beginner · Course · 1 - 3 Months

Universitat Politècnica de València
Skills you'll gain: Linear Algebra, Algebra, Applied Mathematics, General Mathematics
Intermediate · Course · 1 - 4 Weeks

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Graph Theory, Network Analysis, Social Network Analysis, Combinatorics, Network Model, Mathematical Modeling, Transportation Operations, Image Analysis, Algorithms, Theoretical Computer Science, Artificial Intelligence and Machine Learning (AI/ML), Model Optimization, Computational Thinking, Problem Solving, Embeddings
Build toward a degree
Intermediate · Course · 1 - 3 Months

The Chinese University of Hong Kong
Skills you'll gain: Operations Research, Model Optimization, Mathematical Modeling, Problem Solving, Process Modeling, Mathematical Software, Combinatorics, Graph Theory, Computational Logic, Computational Thinking, Data Modeling
Intermediate · Course · 1 - 4 Weeks