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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

    • S

      Stanford University

      Greedy Algorithms, Minimum Spanning Trees, and Dynamic Programming

      Skills you'll gain: Algorithms, Bioinformatics, Graph Theory, Computational Thinking, Data Structures, Theoretical Computer Science, Computer Science

      4.8
      Rating, 4.8 out of 5 stars
      ·
      1.3K reviews

      Intermediate · Course · 1 - 4 Weeks

    • D

      DeepLearning.AI

      Probability & Statistics for Machine Learning & Data Science

      Skills you'll gain: Descriptive Statistics, Bayesian Statistics, Statistical Hypothesis Testing, Probability & Statistics, Sampling (Statistics), Probability Distribution, Probability, Statistical Inference, A/B Testing, Statistical Analysis, Data Science, Exploratory Data Analysis, Data Analysis, Statistical Visualization

      4.6
      Rating, 4.6 out of 5 stars
      ·
      549 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free
      Free
      U

      Universidad Nacional Autónoma de México

      Álgebra básica

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

      4.8
      Rating, 4.8 out of 5 stars
      ·
      3.6K reviews

      Mixed · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Approximation Algorithms and Linear Programming

      Skills you'll gain: Operations Research, Algorithms, Network Model, Linear Algebra, Combinatorics, Computational Thinking, Mathematical Modeling, Theoretical Computer Science, Computer Programming, Python Programming

      Build toward a degree

      4.9
      Rating, 4.9 out of 5 stars
      ·
      44 reviews

      Advanced · Course · 1 - 4 Weeks

    • A

      Arizona State University

      Design of Experiments

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

      4.7
      Rating, 4.7 out of 5 stars
      ·
      358 reviews

      Beginner · Specialization · 3 - 6 Months

    • T

      The Hong Kong University of Science and Technology

      Matrix Algebra for Engineers

      Skills you'll gain: Linear Algebra, Engineering Calculations, Algebra, Engineering Analysis, General Mathematics, Advanced Mathematics, Applied Mathematics

      4.9
      Rating, 4.9 out of 5 stars
      ·
      4.5K reviews

      Beginner · Course · 1 - 4 Weeks

    • S

      Stanford University

      Shortest Paths Revisited, NP-Complete Problems and What To Do About Them

      Skills you'll gain: Algorithms, Graph Theory, Theoretical Computer Science, Network Routing, Computational Thinking, Data Structures, Design Strategies

      4.8
      Rating, 4.8 out of 5 stars
      ·
      822 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free
      Free
      U

      Universitat Autònoma de Barcelona

      Pre-Calculus

      Skills you'll gain: Trigonometry, Integral Calculus, Calculus, Arithmetic, Advanced Mathematics, Algebra, Mathematical Theory & Analysis, Applied Mathematics, Graphing, Derivatives

      4.7
      Rating, 4.7 out of 5 stars
      ·
      568 reviews

      Beginner · Course · 1 - 3 Months

    • U

      University of Illinois Urbana-Champaign

      Accelerated Computer Science Fundamentals

      Skills you'll gain: C++ (Programming Language), Data Structures, Object Oriented Programming (OOP), Object Oriented Design, Graph Theory, Development Environment, Data Storage, Computer Programming, Software Engineering, Algorithms, Data Storage Technologies, Debugging, Program Development, Database Systems, Database Theory, Network Routing, Computational Thinking

      4.7
      Rating, 4.7 out of 5 stars
      ·
      3.5K reviews

      Intermediate · Specialization · 1 - 3 Months

    • J

      Johns Hopkins University

      Algebra: Elementary to Advanced - Polynomials and Roots

      Skills you'll gain: Algebra, Advanced Mathematics, Applied Mathematics, Analytical Skills, Mathematical Modeling, Geometry, Graphing

      4.9
      Rating, 4.9 out of 5 stars
      ·
      146 reviews

      Beginner · Course · 1 - 3 Months

    • U

      University of California San Diego

      Data Structures

      Skills you'll gain: Data Structures, Algorithms, Data Storage, Programming Principles, Graph Theory, Computer Programming, C++ (Programming Language), Java, Theoretical Computer Science, Debugging

      4.6
      Rating, 4.6 out of 5 stars
      ·
      5.5K reviews

      Intermediate · Course · 1 - 3 Months

    • T

      Tsinghua University

      Data Structures and Algorithms

      Skills you'll gain: Data Structures, Algorithms, Graph Theory, Computational Thinking, Theoretical Computer Science, Database Design, Programming Principles, Computer Programming, Computational Logic, Performance Tuning

      2.8
      Rating, 2.8 out of 5 stars
      ·
      39 reviews

      Intermediate · Specialization · 3 - 6 Months

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    1…456…10

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

    • Greedy Algorithms, Minimum Spanning Trees, and Dynamic Programming: Stanford University
    • Probability & Statistics for Machine Learning & Data Science: DeepLearning.AI
    • Álgebra básica: Universidad Nacional Autónoma de México
    • Approximation Algorithms and Linear Programming : University of Colorado Boulder
    • Design of Experiments: Arizona State University
    • Matrix Algebra for Engineers: The Hong Kong University of Science and Technology
    • Shortest Paths Revisited, NP-Complete Problems and What To Do About Them: Stanford University
    • Pre-Calculus: Universitat Autònoma de Barcelona
    • Accelerated Computer Science Fundamentals: University of Illinois Urbana-Champaign
    • Algebra: Elementary to Advanced - Polynomials and Roots: Johns Hopkins 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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