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.

University of Colorado Boulder
Skills you'll gain: Operations Research, Algorithms, Applied Mathematics, Graph Theory, Combinatorics, Computational Thinking, Mathematical Modeling, Theoretical Computer Science, Python Programming
Build toward a degree
Advanced · Course · 1 - 4 Weeks

The Chinese University of Hong Kong
Skills you'll gain: Applied Mathematics, Operations Research, Mathematical Modeling, Combinatorics, Computational Thinking, Graph Theory, Algorithms, Data Structures
Intermediate · Course · 1 - 4 Weeks

Northeastern University
Skills you'll gain: Linear Algebra, Statistical Machine Learning, Mathematics and Mathematical Modeling, Statistical Modeling, Probability, Probability & Statistics, Statistical Methods, Bayesian Statistics, Probability Distribution, Mathematical Modeling, General Mathematics, Machine Learning, Applied Mathematics, Statistical Inference, Algebra
Mixed · Course · 1 - 4 Weeks

Johns Hopkins University
Skills you'll gain: Statistics, Regression Analysis, Probability, Statistical Hypothesis Testing, Probability Distribution, Statistical Analysis, Statistical Inference, Sampling (Statistics), Combinatorics
Intermediate · Course · 1 - 4 Weeks

Skills you'll gain: Graph Theory, Data Structures, Algorithms, Program Development, Programming Principles, Computational Thinking, Theoretical Computer Science, Computer Science, Python Programming
Intermediate · Course · 1 - 3 Months

Skills you'll gain: Algorithms, Technical Communication, Pseudocode, Computational Thinking, Solution Design, Programming Principles, Software Design, Theoretical Computer Science, Data Structures, Mathematical Modeling, Applied Mathematics, Computer Science
Beginner · Course · 1 - 4 Weeks

Rice University
Skills you'll gain: Combinatorics, Probability, Programming Principles, Program Development, Computational Thinking, Computer Programming, Object Oriented Programming (OOP), Development Testing, Software Testing, Applied Mathematics, Debugging, Algorithms, Python Programming, Game Design, Simulations
Intermediate · Course · 1 - 3 Months

University of California San Diego
Skills you'll gain: Combinatorics, Theoretical Computer Science, Algorithms, Graph Theory, Computational Thinking, Data-oriented programming, Operations Research, Python Programming, Mathematical Modeling
Beginner · Course · 1 - 4 Weeks

Nanyang Technological University, Singapore
Skills you'll gain: Geometry, Materials science, Chemistry, Art History, Architectural Design, Chemical Engineering, Physical Science, Applied Mathematics, Biology
Beginner · Course · 1 - 3 Months

Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Calculus, Mathematical Theory & Analysis, Advanced Mathematics, Differential Equations, Mathematical Modeling
Mixed · Course · 1 - 3 Months

Skills you'll gain: Applied Mathematics, Linear Algebra, Differential Equations, Advanced Mathematics, Algebra, Mathematical Modeling, Mathematical Theory & Analysis
Mixed · Course · 1 - 3 Months

The Chinese University of Hong Kong
Skills you'll gain: Operations Research, Computational Logic, Advanced Mathematics, Combinatorics, Algorithms, Applied Mathematics, Graph Theory, Mathematical Modeling, Mathematical Software, Computational Thinking, Programming Principles, Theoretical Computer Science, Program Development, Performance Tuning, Linear Algebra
Intermediate · Course · 1 - 4 Weeks