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    • Combinatorics

    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

    • Placeholder
      Status: Free
      Free
      P

      Princeton University

      Analytic Combinatorics

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

      4.7
      Rating, 4.7 out of 5 stars
      ·
      70 reviews

      Intermediate · Course · 1 - 3 Months

    • 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, Computational Thinking, Encryption, Mathematical Theory & Analysis, Network Analysis, Public Key Cryptography Standards (PKCS), Algorithms, Theoretical Computer Science, Python Programming, Data Structures, Cybersecurity, Arithmetic, Mathematical Modeling

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

      Beginner · Specialization · 3 - 6 Months

    • Status: Free
      Free
      N

      National Taiwan University

      Operations Research (1): Models and Applications

      Skills you'll gain: Operations Research, Mathematical Modeling, Process Optimization, Applied Mathematics, Business Modeling, Industrial Engineering, Operations Management, Inventory Control, Resource Allocation, Business Analytics, Production Planning, Microsoft Excel, Scheduling, Linear Algebra, Decision Making, Portfolio Management, Complex Problem Solving

      4.8
      Rating, 4.8 out of 5 stars
      ·
      534 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free
      Free
      S

      Stanford University

      Introduction to Mathematical Thinking

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

      4.8
      Rating, 4.8 out of 5 stars
      ·
      2.9K reviews

      Intermediate · Course · 1 - 3 Months

    • I

      Imperial College London

      Mathematics for Machine Learning: Multivariate Calculus

      Skills you'll gain: Regression Analysis, Calculus, Advanced Mathematics, Machine Learning Algorithms, Applied Mathematics, Statistical Analysis, Linear Algebra, Artificial Neural Networks, Mathematical Theory & Analysis, Python Programming, Data Science, Derivatives

      4.7
      Rating, 4.7 out of 5 stars
      ·
      5.7K reviews

      Beginner · 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, Applied Mathematics, Statistical Methods, Engineering Analysis

      4.9
      Rating, 4.9 out of 5 stars
      ·
      28 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Placeholder
      Status: Free
      Free
      S

      Shanghai Jiao Tong University

      Discrete Mathematics

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

      3.3
      Rating, 3.3 out of 5 stars
      ·
      193 reviews

      Intermediate · Course · 1 - 3 Months

    • Placeholder
      Status: Free
      Free
      P

      Princeton University

      Algorithms, Part I

      Skills you'll gain: Data Structures, Algorithms, Programming Principles, Java, Performance Testing, Theoretical Computer Science, Computer Science, Object Oriented Programming (OOP)

      4.9
      Rating, 4.9 out of 5 stars
      ·
      12K reviews

      Intermediate · Course · 3 - 6 Months

    • Placeholder
      Status: Free
      Free
      U

      University of Zurich

      An Intuitive Introduction to Probability

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

      4.8
      Rating, 4.8 out of 5 stars
      ·
      1.8K reviews

      Beginner · Course · 1 - 3 Months

    • Placeholder
      Status: Free
      Free
      P

      Princeton University

      Analysis of Algorithms

      Skills you'll gain: Combinatorics, Algorithms, Theoretical Computer Science, Mathematical Theory & Analysis, Data Structures, Advanced Mathematics, Mathematical Modeling, Probability

      4.4
      Rating, 4.4 out of 5 stars
      ·
      1K reviews

      Advanced · Course · 1 - 3 Months

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      Status: Free
      Free
      T

      The University of Melbourne

      Solving Algorithms for Discrete Optimization

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

      4.7
      Rating, 4.7 out of 5 stars
      ·
      43 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Placeholder
      Status: Free
      Free
      G

      Georgia Institute of Technology

      Games without Chance: Combinatorial Game Theory

      Skills you'll gain: Game Theory, Combinatorics, Mathematical Theory & Analysis, Computational Thinking, Mathematical Modeling, Arithmetic

      4.3
      Rating, 4.3 out of 5 stars
      ·
      210 reviews

      Mixed · 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
    • Operations Research (1): Models and Applications: National Taiwan University
    • Introduction to Mathematical Thinking: Stanford University
    • Mathematics for Machine Learning: Multivariate Calculus: Imperial College London
    • Introduction to Linear Algebra: The University of Sydney
    • Discrete Mathematics: Shanghai Jiao Tong University
    • Algorithms, Part I: Princeton University
    • An Intuitive Introduction to Probability: University of Zurich
    • Analysis of Algorithms: Princeton 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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