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Combinatorics Courses

Combinatorics courses can help you learn counting principles, permutations, combinations, and graph theory. You can build skills in problem-solving, algorithm design, and mathematical reasoning, which are crucial for fields like computer science and operations research. Many courses introduce tools such as generating functions and combinatorial algorithms, which are used to solve complex problems in optimization and data analysis.


Popular Combinatorics Courses and Certifications


  • 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
    ·
    869 reviews

    Beginner · Course · 1 - 3 Months

  • 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

    4.7
    Rating, 4.7 out of 5 stars
    ·
    71 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, Computational Thinking, Encryption, Probability Distribution, Network Analysis, Public Key Cryptography Standards (PKCS), Theoretical Computer Science, Bayesian Statistics, Python Programming, Data Structures, Cybersecurity, Algorithms, Arithmetic, Visualization (Computer Graphics)

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

    Beginner · Specialization · 3 - 6 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: 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, Network Model, Applied Mathematics, Business Modeling, Industrial Engineering, Linear Algebra, Operations Management, Applied Machine Learning, Algorithms, Case Studies, Engineering Calculations, Feasibility Studies, Project Design, Engineering Management, Production Planning, Business Operations, Business Analytics

    4.8
    Rating, 4.8 out of 5 stars
    ·
    720 reviews

    Beginner · Specialization · 3 - 6 Months

  • 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
    ·
    202 reviews

    Intermediate · Course · 1 - 3 Months

What brings you to Coursera today?

  • Status: New
    New
    B

    Birla Institute of Technology & Science, Pilani

    Graphs and Networks

    Skills you'll gain: Graph Theory, Network Analysis, Social Network Analysis, Combinatorics, Network Model, Mathematical Modeling, Data Structures, Transportation Operations, Image Analysis, Algorithms, Theoretical Computer Science, Artificial Intelligence and Machine Learning (AI/ML), Computational Thinking, Problem Solving

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
    Preview
    T

    The Hong Kong University of Science and Technology

    Fibonacci Numbers and the Golden Ratio

    Skills you'll gain: Arithmetic, Geometry, Mathematical Theory & Analysis, Advanced Mathematics, Combinatorics, Algebra, General Mathematics, Applied Mathematics, Biology

    4.8
    Rating, 4.8 out of 5 stars
    ·
    1.2K reviews

    Beginner · Course · 1 - 4 Weeks

  • 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
    ·
    655 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

    4.6
    Rating, 4.6 out of 5 stars
    ·
    182 reviews

    Advanced · Course · 1 - 4 Weeks

  • Status: Free
    Free
    J

    Johns Hopkins University

    Mathematics and Democracy Teach Out

    Skills you'll gain: Game Theory, Mathematical Modeling, Political Sciences, Combinatorics, Social Sciences, Probability, Applied Mathematics, Critical Thinking, General Mathematics, Statistical Analysis

    Beginner · Course · 1 - 4 Weeks

  • Status: New
    New
    Status: Preview
    Preview
    U

    Universitat Politècnica de València

    Basic Math: Algebra

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

    Beginner · Course · 1 - 4 Weeks

Searches related to combinatorics

combinatorics and probability
analytic combinatorics
games without chance: combinatorial game theory
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
  • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
  • Introduction to Mathematical Thinking: Stanford University
  • Operations Research: National Taiwan University
  • Discrete Mathematics: Shanghai Jiao Tong University
  • Graphs and Networks: Birla Institute of Technology & Science, Pilani
  • Fibonacci Numbers and the Golden Ratio: The Hong Kong University of Science and Technology
  • Introduction to Logic: Stanford University
  • Trees and Graphs: Basics: University of Colorado Boulder

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 mathematics focused on counting, arrangement, and combination of objects. It plays a crucial role in various fields, including computer science, statistics, and optimization. Understanding combinatorics is important because it provides foundational skills for problem-solving and analytical thinking, which are essential in many careers, especially those involving data analysis and algorithm design.‎

A background in combinatorics can lead to various job opportunities. Positions such as data analyst, operations researcher, and software developer often require combinatorial skills. Additionally, roles in academia, finance, and logistics may also benefit from a strong understanding of combinatorial principles, as they often involve complex problem-solving and optimization tasks.‎

To learn combinatorics effectively, you should focus on developing skills in mathematical reasoning, problem-solving, and logical thinking. Familiarity with basic algebra and probability is also beneficial. As you progress, you may want to explore advanced topics such as graph theory and algorithm analysis, which are often intertwined with combinatorial concepts.text in bold‎

Some of the best online courses for combinatorics include Combinatorics and Probability and Analytic Combinatorics. These courses provide a solid foundation in combinatorial principles and their applications, making them suitable for both beginners and those looking to deepen their understanding.‎

Yes. You can start learning combinatorics on Coursera for free in two ways:

  1. Preview the first module of many combinatorics courses at no cost. This includes video lessons, readings, graded assignments, and Coursera Coach (where available).
  2. Start a 7-day free trial for Specializations or Coursera Plus. This gives you full access to all course content across eligible programs within the timeframe of your trial.

If you want to keep learning, earn a certificate in combinatorics, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎

To learn combinatorics, start by taking introductory courses that cover the basics of counting principles, permutations, and combinations. Engage with practice problems to reinforce your understanding. Additionally, consider joining study groups or online forums to discuss concepts and solve problems collaboratively.‎

Typical topics covered in combinatorics courses include counting techniques, permutations and combinations, the pigeonhole principle, graph theory, and generating functions. These topics provide a comprehensive overview of combinatorial methods and their applications in various fields.‎

For training and upskilling employees, courses like Combinatorics and Probability can be particularly beneficial. They equip learners with essential skills in problem-solving and analytical thinking, which are valuable in many professional contexts, including data analysis and operations research.‎

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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