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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

    • 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

    • G

      Georgia Institute of Technology

      Games without Chance: Combinatorial Game Theory

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

      4.3
      Rating, 4.3 out of 5 stars
      ·
      210 reviews

      Mixed · Course · 1 - 3 Months

    • N

      National Taiwan University

      Operations Research (3): Theory

      Skills you'll gain: Operations Research, Network Model, Statistical Machine Learning, Applied Mathematics, Mathematical Modeling, Machine Learning, Transportation Operations, Process Optimization, Advanced Mathematics, Linear Algebra, Algorithms

      4.9
      Rating, 4.9 out of 5 stars
      ·
      91 reviews

      Advanced · 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, Analysis, Computational Thinking, Network Analysis

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      162 reviews

      Advanced · Course · 1 - 4 Weeks

    • 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

    • Status: Free
      Free
      É

      École normale supérieure

      Approximation Algorithms Part I

      Skills you'll gain: Theoretical Computer Science, Combinatorics, Algorithms, Graph Theory, Computational Thinking, Operations Research, Linear Algebra, Mathematical Modeling, Solution Design, Probability

      4.7
      Rating, 4.7 out of 5 stars
      ·
      554 reviews

      Mixed · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of California San Diego

      Data Structures and Algorithms

      Skills you'll gain: Data Structures, Graph Theory, Algorithms, Network Routing, Program Development, Debugging, Network Model, Bioinformatics, Operations Research, Data Storage, Development Testing, Test Engineering, Software Testing, Theoretical Computer Science, Computational Thinking, Network Analysis, Test Case, Programming Principles, Computer Programming, Epidemiology

      4.6
      Rating, 4.6 out of 5 stars
      ·
      17K reviews

      Intermediate · Specialization · 3 - 6 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, Probability, Linear Algebra, Statistical Inference, Applied Mathematics, NumPy, Calculus, Dimensionality Reduction, Numerical Analysis, Mathematical Modeling, Machine Learning, Machine Learning Methods, Python Programming, Jupyter, Data Manipulation

      4.6
      Rating, 4.6 out of 5 stars
      ·
      2.7K reviews

      Intermediate · Specialization · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      S

      Stanford University

      Algorithms

      Skills you'll gain: Data Structures, Graph Theory, Algorithms, Bioinformatics, Theoretical Computer Science, Network Model, Computational Thinking, Network Analysis, Analysis, Programming Principles, Probability & Statistics, Network Routing, Probability, Operations Research, Design Strategies

      4.8
      Rating, 4.8 out of 5 stars
      ·
      5.9K reviews

      Intermediate · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      C

      Codio

      Java: Data Structures and Algorithms

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

      Intermediate · Specialization · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      T

      The Hong Kong University of Science and Technology

      Mathematics for Engineers

      Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Calculations, Engineering Analysis, Numerical Analysis, Finite Element Methods, Integral Calculus, Mathematical Software, Mechanical Engineering, Calculus, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Simulation and Simulation Software, Advanced Mathematics, Geometry, Computational Thinking, Estimation

      4.8
      Rating, 4.8 out of 5 stars
      ·
      7.5K reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      A

      Arizona State University

      Design of Experiments

      Skills you'll gain: Experimentation, Sample Size Determination, Research Design, Regression Analysis, Statistical Analysis, Statistical Methods, Data Analysis Software, Statistical Modeling, Design Strategies, Probability & Statistics, Data Analysis, Mathematical Modeling, Data Transformation, Descriptive Statistics, Probability Distribution, Statistical Hypothesis Testing, Variance Analysis, Quality Control

      4.7
      Rating, 4.7 out of 5 stars
      ·
      360 reviews

      Beginner · Specialization · 3 - 6 Months

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

    • Analysis of Algorithms: Princeton University
    • Games without Chance: Combinatorial Game Theory : Georgia Institute of Technology
    • Operations Research (3): Theory: National Taiwan University
    • Trees and Graphs: Basics: University of Colorado Boulder
    • Discrete Optimization: The University of Melbourne
    • Approximation Algorithms Part I: École normale supérieure
    • Data Structures and Algorithms: University of California San Diego
    • Mathematics for Machine Learning and Data Science: DeepLearning.AI
    • Algorithms: Stanford University
    • Java: Data Structures and Algorithms: Codio

    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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