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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
      Free
      P

      Princeton University

      Analytic Combinatorics

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

      4.7
      Rating, 4.7 out of 5 stars
      ·
      70 reviews

      Intermediate · Course · 1 - 3 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, Combinatorics, Computational Logic, Deductive Reasoning, Cryptography, Probability, Key Management, Computational Thinking, Encryption, Network Analysis, Public Key Cryptography Standards (PKCS), Algorithms, Theoretical Computer Science, Python Programming, Data Structures, Cybersecurity, Arithmetic, Computer Programming, Network Routing

      4.5
      Rating, 4.5 out of 5 stars
      ·
      3.6K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      U

      University of California San Diego

      Combinatorics and Probability

      Skills you'll gain: Combinatorics, Probability, Algorithms, Mathematical Modeling, Computational Thinking, Statistics, Game Theory, Python Programming

      4.6
      Rating, 4.6 out of 5 stars
      ·
      864 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      D

      DeepLearning.AI

      Mathematics for Machine Learning and Data Science

      Skills you'll gain: Descriptive Statistics, Bayesian Statistics, Statistical Hypothesis Testing, Probability & Statistics, Sampling (Statistics), Probability Distribution, Linear Algebra, Statistical Inference, A/B Testing, Statistical Analysis, Statistical Machine Learning, Applied Mathematics, NumPy, Probability, Calculus, Dimensionality Reduction, Mathematical Modeling, Machine Learning, Machine Learning Methods, Jupyter

      4.6
      Rating, 4.6 out of 5 stars
      ·
      2.8K reviews

      Intermediate · Specialization · 1 - 3 Months

    • 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
      ·
      2.9K reviews

      Intermediate · Course · 1 - 3 Months

    • T

      The University of Sydney

      Introduction to Linear Algebra

      Skills you'll gain: Linear Algebra, Markov Model, Geometry, Arithmetic, Algebra, General Mathematics, Advanced Mathematics, Probability, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Mathematical Modeling, Applied Mathematics, Statistical Methods, Engineering Analysis

      4.8
      Rating, 4.8 out of 5 stars
      ·
      32 reviews

      Intermediate · Course · 1 - 4 Weeks

    What brings you to Coursera today?

    • 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, Mathematical Theory & Analysis, Theoretical Computer Science, Program Development

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

      Beginner · Course · 1 - 3 Months

    • 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
      ·
      199 reviews

      Intermediate · Course · 1 - 3 Months

    • S

      Stanford University

      Introduction to Logic

      Skills you'll gain: Logical Reasoning, Computational Logic, Deductive Reasoning, Computational Thinking, Problem Solving, Business Logic, Functional Design, Programming Principles

      4.4
      Rating, 4.4 out of 5 stars
      ·
      651 reviews

      Intermediate · Course · 1 - 3 Months

    • T

      The University of Melbourne

      Discrete Optimization

      Skills you'll gain: Operations Research, Combinatorics, Applied Mathematics, Graph Theory, Algorithms, Mathematical Modeling, Computational Thinking, Linear Algebra, Computational Logic, Computer Programming

      4.8
      Rating, 4.8 out of 5 stars
      ·
      777 reviews

      Intermediate · Course · 1 - 3 Months

    • U

      University of Zurich

      An Intuitive Introduction to Probability

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

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

      Beginner · Course · 1 - 3 Months

    • Status: Free
      Free
      P

      Princeton University

      Computer Science: Algorithms, Theory, and Machines

      Skills you'll gain: Theoretical Computer Science, Data Structures, Computer Science, Computer Architecture, Algorithms, Programming Principles, Computational Logic, Computational Thinking, Java Programming, Computer Hardware

      4.7
      Rating, 4.7 out of 5 stars
      ·
      714 reviews

      Intermediate · Course · 1 - 3 Months

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

    • Analytic Combinatorics: Princeton University
    • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
    • Combinatorics and Probability: University of California San Diego
    • Mathematics for Machine Learning and Data Science: DeepLearning.AI
    • Introduction to Mathematical Thinking: Stanford University
    • Introduction to Linear Algebra: The University of Sydney
    • Introduction to Graph Theory: University of California San Diego
    • Discrete Mathematics: Shanghai Jiao Tong University
    • Introduction to Logic: Stanford University
    • Discrete Optimization: The University of Melbourne

    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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