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Combinatorics Courses Online

Explore combinatorics for counting, arrangement, and combination problems. Learn to apply combinatorial methods in mathematics and computer science.

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Explore the Combinatorics Course Catalog

  • Status: Free Trial
    Free Trial
    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
    ·
    865 reviews

    Beginner · Course · 1 - 3 Months

  • Status: Free
    Free
    P

    Princeton University

    Analytic Combinatorics

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

    4.7
    Rating, 4.7 out of 5 stars
    ·
    71 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: New
    New
    Status: Preview
    Preview
    U

    Universitat Politècnica de València

    Bases matemáticas: Álgebra

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

    Intermediate · Course · 1 - 4 Weeks

  • Status: New
    New
    Status: Free Trial
    Free Trial
    N

    National Taiwan University

    Operations Research

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

    4.8
    Rating, 4.8 out of 5 stars
    ·
    710 reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    U

    University of California San Diego

    Introduction to Discrete Mathematics for Computer Science

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

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

    Beginner · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    U

    University of California San Diego

    Introduction to Graph Theory

    Skills you'll gain: Graph Theory, Combinatorics, Network Analysis, Data Structures, Network Routing, Algorithms, Theoretical Computer Science, Program Development

    4.5
    Rating, 4.5 out of 5 stars
    ·
    1.1K reviews

    Beginner · Course · 1 - 3 Months

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  • Status: Preview
    Preview
    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
    ·
    200 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
    Preview
    S

    Stanford University

    Introduction to Mathematical Thinking

    Skills you'll gain: Mathematical Theory & Analysis, Mathematics and Mathematical Modeling, Calculus, Deductive Reasoning, Logical Reasoning

    4.8
    Rating, 4.8 out of 5 stars
    ·
    3K reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
    Preview
    U

    University of Zurich

    An Intuitive Introduction to Probability

    Skills you'll gain: Probability, Probability Distribution, Probability & Statistics, Statistics, Descriptive Statistics, Applied Mathematics, Risk Analysis, Finance

    4.8
    Rating, 4.8 out of 5 stars
    ·
    1.9K reviews

    Beginner · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    N

    National Taiwan University

    Operations Research (3): Theory

    Skills you'll gain: Operations Research, Network Model, Case Studies, Applied Mathematics, Mathematical Modeling, Machine Learning, Transportation Operations, Operations, Operational Analysis, Operations Management, Business Analytics, Process Optimization, Advanced Mathematics, Linear Algebra, Machine Learning Algorithms, Resource Allocation, Engineering Analysis, Calculus, Algorithms

    4.9
    Rating, 4.9 out of 5 stars
    ·
    93 reviews

    Advanced · Course · 1 - 3 Months

  • Status: Preview
    Preview
    S

    Stanford University

    Introduction to Logic

    Skills you'll gain: Logical Reasoning, Computational Logic, Deductive Reasoning, Computational Thinking, Problem Solving, Business Logic, Complex Problem Solving, Decision Making

    4.4
    Rating, 4.4 out of 5 stars
    ·
    654 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Trees and Graphs: Basics

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

    Build toward a degree

    4.7
    Rating, 4.7 out of 5 stars
    ·
    180 reviews

    Advanced · Course · 1 - 4 Weeks

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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
  • Bases matemáticas: Álgebra: Universitat Politècnica de València
  • Operations Research: National Taiwan University
  • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
  • Introduction to Graph Theory: University of California San Diego
  • Discrete Mathematics: Shanghai Jiao Tong University
  • Introduction to Mathematical Thinking: Stanford University
  • An Intuitive Introduction to Probability: University of Zurich
  • Operations Research (3): Theory: National Taiwan University

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 math that explores counting and possible ways to count items. It includes concepts like enumeration, combination, and permutation of sets. Combinatorics is related to other branches of math, such as graph theory, coding, and probability.‎

Learning combinatorics teaches more than how to calculate permutations—which on its own is a useful skill. It also helps boost your problem-solving skills. You can practice the process of dissecting a problem, exploring all of the possible solutions to the problem, and considering the best possible outcomes. An understanding of combinatorics can come in handy when you play games of chance, too.‎

Combinatorics plays a role in many different fields—from software development to medicine—where you can find career opportunities after learning combinatorics. There are opportunities as a math or computer science researcher or algorithm designer. With an understanding of combinatorics, you may choose to work as an analyst and offer consulting services to companies that need help streamlining processes and increasing profit margins.

Combinatorics is helpful when people and organizations need to examine possible outcomes. Epidemiologists who want to know how a virus spreads through a population may explore possibilities through combinatorics. Investors who need to decide where to invest their money use math models as they make a decision. A transportation company that wants to reduce fuel costs and increase efficiency can turn to combinatorics to examine the best changes to make within the company.‎

Online courses can help you learn combinatorics by giving you a way to work on material at your own pace. You can slow down, speed up, or review lessons as needed. Best of all, you can work wherever you’re comfortable and have the time to completely focus on the material.‎

You should have basic arithmetic skills before starting to learn combinatorics. It’s also helpful to have a solid understanding of algebra before taking a combinatorics course. A background in another field of math like graph theory or probability may also be beneficial.‎

Online Combinatorics courses offer a convenient and flexible way to enhance your knowledge or learn new Combinatorics skills. Choose from a wide range of Combinatorics courses offered by top universities and industry leaders tailored to various skill levels.‎

When looking to enhance your workforce's skills in Combinatorics, it's crucial to select a course that aligns with their current abilities and learning objectives. Our Skills Dashboard is an invaluable tool for identifying skill gaps and choosing the most appropriate course for effective upskilling. For a comprehensive understanding of how our courses can benefit your employees, explore the enterprise solutions we offer. Discover more about our tailored programs at Coursera for Business here.‎

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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