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Combinatorics Courses

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.


Popular Combinatorics Courses and Certifications


  • U

    University of California San Diego

    Combinatorics and Probability

    Skills you'll gain: Combinatorics, Probability, Probability Distribution, Algorithms, Bayesian Statistics, Mathematical Modeling, Statistics, Arithmetic, Python Programming, Simulations

    4.6
    Rating, 4.6 out of 5 stars
    ·
    869 reviews

    Beginner · Course · 1 - 3 Months

  • P

    Princeton University

    Analytic Combinatorics

    Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Advanced Mathematics, Graph Theory, Theoretical Computer Science, Calculus, Probability, Computational Thinking

    4.6
    Rating, 4.6 out of 5 stars
    ·
    72 reviews

    Intermediate · Course · 1 - 3 Months

  • T

    The Hong Kong University of Science and Technology

    Discrete Mathematical Tools for Computer Science

    Skills you'll gain: Probability, Computational Logic, Combinatorics, Bayesian Statistics, Algorithms, Theoretical Computer Science, Mathematical Software, Mathematical Theory & Analysis, Cryptography, Logical Reasoning, Deductive Reasoning, Computational Thinking, Computer Science, Encryption, Data Structures, Arithmetic, General Mathematics, Public Key Cryptography Standards (PKCS), Problem Solving, Cybersecurity

    Beginner · Specialization · 3 - 6 Months

  • U

    University of London

    Applied Mathematical Methods for Computing

    Skills you'll gain: Combinatorics, Probability & Statistics, Data Analysis, Advanced Mathematics, Linear Algebra, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Applied Mathematics, Statistics, Analysis, Statistical Analysis, Probability, Algorithms, Algebra

    Beginner · Course · 1 - 4 Weeks

  • U

    University of California San Diego

    Introduction to Discrete Mathematics for Computer Science

    Skills you'll gain: Graph Theory, Logical Reasoning, Combinatorics, Computational Logic, Deductive Reasoning, Cryptography, Probability, Computational Thinking, Encryption, Probability Distribution, Network Analysis, Public Key Cryptography Standards (PKCS), Theoretical Computer Science, Bayesian Statistics, Python Programming, Data Structures, Cybersecurity, Algorithms, Arithmetic, Visualization (Computer Graphics)

    4.5
    Rating, 4.5 out of 5 stars
    ·
    3.7K reviews

    Beginner · Specialization · 3 - 6 Months

  • U

    University of London

    Essential Mathematics for Computer Science

    Skills you'll gain: Computational Logic, Algorithms, Applied Mathematics, Advanced Mathematics, Mathematics and Mathematical Modeling, Deductive Reasoning, Mathematical Theory & Analysis, Trigonometry, Statistics, General Mathematics, Analysis, Graphing, Computer Science, Mathematical Modeling, Programming Principles, Business Mathematics, Business Logic, Algebra, Arithmetic, Problem Solving

    Build toward a degree

    Beginner · Specialization · 3 - 6 Months

What brings you to Coursera today?

  • N

    National Taiwan University

    Operations Research

    Skills you'll gain: Operations Research, Mathematical Modeling, Process Optimization, Report Writing, Network Model, Applied Mathematics, Process Improvement and Optimization, Business Modeling, Industrial Engineering, Linear Algebra, Operations Management, Applied Machine Learning, Algorithms, Resource Allocation, Case Studies, Engineering Calculations, Feasibility Studies, Project Design, Engineering Management, Business Analytics

    4.8
    Rating, 4.8 out of 5 stars
    ·
    725 reviews

    Beginner · Specialization · 3 - 6 Months

  • T

    The Hong Kong University of Science and Technology

    Fibonacci Numbers and the Golden Ratio

    Skills you'll gain: Arithmetic, Geometry, Mathematical Theory & Analysis, Advanced Mathematics, Combinatorics, Algebra, General Mathematics, Applied Mathematics, Biology

    4.8
    Rating, 4.8 out of 5 stars
    ·
    1.2K reviews

    Beginner · Course · 1 - 4 Weeks

  • S

    Shanghai Jiao Tong University

    Discrete Mathematics

    Skills you'll gain: Combinatorics, Graph Theory, Theoretical Computer Science, Mathematical Theory & Analysis, Advanced Mathematics, Network Analysis, Computational Thinking, Algorithms, Data Structures, Computer Science

    3.3
    Rating, 3.3 out of 5 stars
    ·
    202 reviews

    Intermediate · Course · 1 - 3 Months

  • U

    University of Colorado Boulder

    Trees and Graphs: Basics

    Skills you'll gain: Graph Theory, Data Structures, Algorithms, Tree Maps, Analysis, Computational Thinking, Python Programming

    Build toward a degree

    4.6
    Rating, 4.6 out of 5 stars
    ·
    187 reviews

    Advanced · Course · 1 - 4 Weeks

  • J

    Johns Hopkins University

    Mathematics and Democracy Teach Out

    Skills you'll gain: Game Theory, Mathematical Modeling, Political Sciences, Combinatorics, Social Sciences, Probability, Applied Mathematics, Critical Thinking, General Mathematics, Statistical Analysis

    4.5
    Rating, 4.5 out of 5 stars
    ·
    6 reviews

    Beginner · Course · 1 - 4 Weeks

  • U

    Universitat Politècnica de València

    Basic Math: Algebra

    Skills you'll gain: Linear Algebra, Algebra, Geometry, General Mathematics, Applied Mathematics, Arithmetic

    Beginner · Course · 1 - 4 Weeks

1234…10

In summary, here are 10 of our most popular combinatorics courses

  • Combinatorics and Probability: University of California San Diego
  • Analytic Combinatorics: Princeton University
  • Discrete Mathematical Tools for Computer Science: The Hong Kong University of Science and Technology
  • Applied Mathematical Methods for Computing: University of London
  • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
  • Essential Mathematics for Computer Science: University of London
  • Operations Research: National Taiwan University
  • Fibonacci Numbers and the Golden Ratio: The Hong Kong University of Science and Technology
  • Discrete Mathematics: Shanghai Jiao Tong University
  • Trees and Graphs: Basics: University of Colorado Boulder

Skills you can learn in Probability And Statistics

R Programming (19)
Inference (16)
Linear Regression (12)
Statistical Analysis (12)
Statistical Inference (11)
Regression Analysis (10)
Biostatistics (9)
Bayesian (7)
Logistic Regression (7)
Probability Distribution (7)
Bayesian Statistics (6)
Medical Statistics (6)

Frequently Asked Questions about Combinatorics

Combinatorics is a branch of mathematics focused on counting, arrangement, and combination of objects. It plays a crucial role in various fields, including computer science, statistics, and optimization. Understanding combinatorics is important because it provides foundational skills for problem-solving and analytical thinking, which are essential in many careers, especially those involving data analysis and algorithm design.‎

A background in combinatorics can lead to various job opportunities. Positions such as data analyst, operations researcher, and software developer often require combinatorial skills. Additionally, roles in academia, finance, and logistics may also benefit from a strong understanding of combinatorial principles, as they often involve complex problem-solving and optimization tasks.‎

To learn combinatorics effectively, you should focus on developing skills in mathematical reasoning, problem-solving, and logical thinking. Familiarity with basic algebra and probability is also beneficial. As you progress, you may want to explore advanced topics such as graph theory and algorithm analysis, which are often intertwined with combinatorial concepts.text in bold‎

Some of the best online courses for combinatorics include Combinatorics and Probability and Analytic Combinatorics. These courses provide a solid foundation in combinatorial principles and their applications, making them suitable for both beginners and those looking to deepen their understanding.‎

Yes. You can start learning combinatorics on Coursera for free in two ways:

  1. Preview the first module of many combinatorics courses at no cost. This includes video lessons, readings, graded assignments, and Coursera Coach (where available).
  2. Start a 7-day free trial for Specializations or Coursera Plus. This gives you full access to all course content across eligible programs within the timeframe of your trial.

If you want to keep learning, earn a certificate in combinatorics, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎

To learn combinatorics, start by taking introductory courses that cover the basics of counting principles, permutations, and combinations. Engage with practice problems to reinforce your understanding. Additionally, consider joining study groups or online forums to discuss concepts and solve problems collaboratively.‎

Typical topics covered in combinatorics courses include counting techniques, permutations and combinations, the pigeonhole principle, graph theory, and generating functions. These topics provide a comprehensive overview of combinatorial methods and their applications in various fields.‎

For training and upskilling employees, courses like Combinatorics and Probability can be particularly beneficial. They equip learners with essential skills in problem-solving and analytical thinking, which are valuable in many professional contexts, including data analysis and operations research.‎

This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

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