• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Degrees
​
Log In
Join for Free
  • Browse
  • Number Theory

Number Theory Courses

Number theory courses can help you learn prime numbers, divisibility rules, modular arithmetic, and integer properties. You can build skills in problem-solving, logical reasoning, and algorithmic thinking, that support tackling complex mathematical challenges. Many courses introduce tools like Python for implementing algorithms and mathematical software for exploring number patterns, enabling you to apply your knowledge in practical situations such as cryptography and coding theory.

Popular Number Theory Courses and Certifications


  • J

    Johns Hopkins University

    Mathematics and Democracy Teach Out

    Skills you'll gain: Mathematics and Mathematical Modeling, Mathematical Modeling, Political Sciences, Combinatorics, Social Sciences, Decision Intelligence, Logical Reasoning, Applied Mathematics, Critical Thinking, General Mathematics, Psychology

    4.5
    Rating, 4.5 out of 5 stars
    ·
    6 reviews

    Beginner · Course · 1 - 4 Weeks

  • S

    Skillshare

    Music Theory: Essentials of Music Theory for Modern Music

    Skills you'll gain: Musical Composition, Music, Music Theory, Music Performance, Media Production

    Beginner · Course · 1 - 4 Weeks

  • S

    Stanford University

    Game Theory

    Skills you'll gain: Game Theory, Mathematical Modeling, Graph Theory, Bayesian Statistics, Behavioral Economics, Probability, Economics, Problem Solving, Algorithms, Theoretical Computer Science, Probability Distribution

    4.6
    Rating, 4.6 out of 5 stars
    ·
    4.9K reviews

    Beginner · Course · 1 - 3 Months

  • U

    University of London

    Algorithms and Complexity

    Skills you'll gain: Algorithms, Computational Thinking, Theoretical Computer Science, Computational Logic, Critical Thinking and Problem Solving, Performance Testing, Data Structures, Critical Thinking, Logical Reasoning, Graph Theory, Mathematical Theory & Analysis, Complex Problem Solving, Analysis, Game Theory

    Intermediate · Course · 1 - 4 Weeks

  • K

    Korea Advanced Institute of Science and Technology(KAIST)

    Differential Equations Part I Basic Theory

    Skills you'll gain: Differential Equations, Mathematical Modeling, Applied Mathematics, Calculus, Mechanics

    4.7
    Rating, 4.7 out of 5 stars
    ·
    1.4K reviews

    Beginner · Course · 1 - 3 Months

  • C

    California Institute of the Arts

    Approaching Music Theory: Melodic Forms and Simple Harmony

    Skills you'll gain: Music Theory, Music, Musical Composition, Classical Music, Music History, Music Performance

    4.7
    Rating, 4.7 out of 5 stars
    ·
    170 reviews

    Intermediate · Course · 1 - 3 Months

  • 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, Transportation Operations, Image Analysis, Algorithms, Theoretical Computer Science, Artificial Intelligence and Machine Learning (AI/ML), Model Optimization, Computational Thinking, Problem Solving, Embeddings

    Build toward a degree

    Intermediate · Course · 1 - 3 Months

  • U

    University of Colorado Boulder

    Advanced Data Structures, RSA and Quantum Algorithms

    Skills you'll gain: Quantum computing, Public Key Cryptography Standards (PKCS), Cryptography, Data Structures, Cryptographic Protocols, Algorithms, Encryption, Theoretical Computer Science, Computer Science, Mathematical Software, Advanced Mathematics

    Build toward a degree

    4.6
    Rating, 4.6 out of 5 stars
    ·
    64 reviews

    Advanced · Course · 1 - 4 Weeks

  • G

    Georgia Institute of Technology

    Games without Chance: Combinatorial Game Theory

    Skills you'll gain: Game Theory, Combinatorics, Mathematical Theory & Analysis, Mathematical Modeling, Mathematics and Mathematical Modeling, Applied Mathematics

    4.3
    Rating, 4.3 out of 5 stars
    ·
    211 reviews

    Mixed · Course · 1 - 3 Months

  • T

    Technical University of Denmark (DTU)

    Antimicrobial resistance - theory and methods

    Skills you'll gain: Laboratory Testing, Quality Assurance, Infection Control, Microbiology, Infectious Diseases, Diagnostic Tests, Bioinformatics, Medical Laboratory, Molecular, Cellular, and Microbiology, Epidemiology, Public Health and Disease Prevention, Public Health, Pharmacology, Molecular Biology

    4.7
    Rating, 4.7 out of 5 stars
    ·
    2.6K reviews

    Intermediate · Course · 1 - 3 Months

  • S

    Skillshare

    Graphic Design Theory - Hierarchy

    Skills you'll gain: Graphic and Visual Design, Graphic Design, Layout Design, Visual Design, Design, Design Elements And Principles, Design Strategies, Visual Storytelling

    Beginner · Course · 1 - 4 Weeks

  • É

    École Polytechnique

    Initiation à la théorie des distributions

    Skills you'll gain: Differential Equations, Advanced Mathematics, Integral Calculus, Calculus, Mathematical Theory & Analysis, Applied Mathematics, Derivatives

    4.8
    Rating, 4.8 out of 5 stars
    ·
    25 reviews

    Mixed · Course · 1 - 3 Months

1…567…296

In summary, here are 10 of our most popular number theory courses

  • Mathematics and Democracy Teach Out: Johns Hopkins University
  • Music Theory: Essentials of Music Theory for Modern Music: Skillshare
  • Game Theory: Stanford University
  • Algorithms and Complexity: University of London
  • Differential Equations Part I Basic Theory: Korea Advanced Institute of Science and Technology(KAIST)
  • Approaching Music Theory: Melodic Forms and Simple Harmony: California Institute of the Arts
  • Graphs and Networks: Birla Institute of Technology & Science, Pilani
  • Advanced Data Structures, RSA and Quantum Algorithms: University of Colorado Boulder
  • Games without Chance: Combinatorial Game Theory : Georgia Institute of Technology
  • Antimicrobial resistance - theory and methods: Technical University of Denmark (DTU)

Skills you can learn in Machine Learning

Python Programming (33)
Tensorflow (32)
Deep Learning (30)
Artificial Neural Network (24)
Big Data (18)
Statistical Classification (17)
Reinforcement Learning (13)
Algebra (10)
Bayesian (10)
Linear Algebra (10)
Linear Regression (9)
Numpy (9)

Other topics to explore

Arts and Humanities
338 courses
Business
1095 courses
Computer Science
668 courses
Data Science
425 courses
Information Technology
145 courses
Health
471 courses
Math and Logic
70 courses
Personal Development
137 courses
Physical Science and Engineering
413 courses
Social Sciences
401 courses
Language Learning
150 courses

Coursera Footer

Skills

  • Accounting
  • Artificial Intelligence (AI)
  • Cybersecurity
  • Data Analytics
  • Digital Marketing
  • Human Resources (HR)
  • Microsoft Excel
  • Project Management
  • Python
  • SQL

Professional Certificates

  • Google AI Certificate
  • Google Cybersecurity Certificate
  • Google Data Analytics Certificate
  • Google IT Support Certificate
  • Google Project Management Certificate
  • Google UX Design Certificate
  • IBM AI Engineering Certificate
  • IBM AI Product Manager Certificate
  • IBM Data Science Certificate
  • Intuit Academy Bookkeeping Certificate

Courses & Specializations

  • AI Essentials Specialization
  • AI For Business Specialization
  • AI For Everyone Course
  • AI in Healthcare Specialization
  • Deep Learning Specialization
  • Excel Skills for Business Specialization
  • Financial Markets Course
  • Machine Learning Specialization
  • Prompt Engineering for ChatGPT Course
  • Python for Everybody Specialization

Career Resources

  • Career Aptitude Test
  • CAPM Certification Requirements
  • CompTIA A+ Certification Requirements
  • CompTIA Security+ Certification Requirements
  • Essential IT Certifications
  • High-Income Skills to Learn
  • How to Learn Artificial Intelligence
  • PMP Certification Requirements
  • Popular Cybersecurity Certifications
  • Share your Coursera learning story

Coursera

  • About
  • What We Offer
  • Leadership
  • Careers
  • Catalog
  • Coursera Plus
  • Professional Certificates
  • MasterTrack® Certificates
  • Degrees
  • For Enterprise
  • For Government
  • For Campus
  • Become a Partner
  • Social Impact
  • Free Courses
  • Udemy

Community

  • Learners
  • Partners
  • Beta Testers
  • Blog
  • The Coursera Podcast
  • Tech Blog

More

  • Press
  • Investors
  • Terms
  • Privacy
  • Help
  • Accessibility
  • Contact
  • Articles
  • Directory
  • Affiliates
  • Modern Slavery Statement
  • Do Not Sell/Share
Learn Anywhere
Download on the App Store
Get it on Google Play
Logo of Certified B Corporation
© 2026 Coursera Inc. All rights reserved.
  • Coursera Facebook
  • Coursera Linkedin
  • Coursera Twitter
  • Coursera YouTube
  • Coursera Instagram
  • Coursera TikTok