• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Coursera
  • Online Degrees
  • Careers
  • Log In
  • Join for Free
    Coursera
    • Browse
    • Number Theory

    Number Theory Courses Online

    Learn number theory for mathematical research and applications. Understand prime numbers, divisibility, and modular arithmetic.

    Skip to search results

    Filter by

    Subject
    Required
     *

    Language
    Required
     *

    The language used throughout the course, in both instruction and assessments.

    Learning Product
    Required
     *

    Build job-relevant skills in under 2 hours with hands-on tutorials.
    Learn from top instructors with graded assignments, videos, and discussion forums.
    Learn a new tool or skill in an interactive, hands-on environment.
    Get in-depth knowledge of a subject by completing a series of courses and projects.
    Earn career credentials from industry leaders that demonstrate your expertise.
    Earn career credentials while taking courses that count towards your Master’s degree.
    Earn your Bachelor’s or Master’s degree online for a fraction of the cost of in-person learning.
    Earn a university-issued career credential in a flexible, interactive format.

    Level
    Required
     *

    Duration
    Required
     *

    Skills
    Required
     *

    Subtitles
    Required
     *

    Educator
    Required
     *

    Explore the Number Theory Course Catalog

    • Status: Preview
      Preview
      T

      The University of Edinburgh

      Fundamentals of Music Theory

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

      4.5
      Rating, 4.5 out of 5 stars
      ·
      1.8K reviews

      Beginner · Course · 1 - 3 Months

    • M

      Michigan State University

      Getting Started With Music Theory

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

      4.5
      Rating, 4.5 out of 5 stars
      ·
      757 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Preview
      Preview
      U

      University of North Texas

      Math Prep: College & Work Ready

      Skills you'll gain: Arithmetic, Probability & Statistics, Graphing, Geometry, Statistics, Algebra, Applied Mathematics, Systems Of Measurement

      4.5
      Rating, 4.5 out of 5 stars
      ·
      316 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: New
      New
      Status: Preview
      Preview
      H

      H2O.ai

      H2O.ai Agents : From Theory to Practice

      Skills you'll gain: Generative AI Agents, LLM Application, Agentic systems, Artificial Intelligence and Machine Learning (AI/ML), Generative AI, Artificial Intelligence, Tool Calling, AI Product Strategy, Large Language Modeling, Responsible AI, Decision Support Systems, Application Deployment, Performance Testing

      4.5
      Rating, 4.5 out of 5 stars
      ·
      46 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: New
      New
      Status: Free Trial
      Free Trial
      U

      University of Pittsburgh

      Probability Theory and Regression for Predictive Analytics

      Skills you'll gain: Probability Distribution, Data Science, Probability & Statistics, Predictive Analytics, Probability, Statistical Modeling, Data Analysis, Regression Analysis, Statistical Analysis, Statistical Methods, Statistical Machine Learning, Bayesian Statistics, Statistical Inference, Feature Engineering, Applied Mathematics, Python Programming, Machine Learning, Algorithms

      Build toward a degree

      Beginner · Course · 1 - 4 Weeks

    • Status: New
      New
      Status: Preview
      Preview
      D

      Deep Teaching Solutions

      Making Math Click: Understand Math Without Fear

      Skills you'll gain: Differentiated Instruction, Willingness To Learn, Persistence, Learning Theory, Problem Solving

      4.8
      Rating, 4.8 out of 5 stars
      ·
      15 reviews

      Beginner · Course · 1 - 4 Weeks

    • 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, Mathematical Modeling, Applied Mathematics, Statistical Methods, Engineering Analysis

      4.8
      Rating, 4.8 out of 5 stars
      ·
      35 reviews

      Intermediate · Course · 1 - 4 Weeks

    • T

      The University of Sydney

      Introduction to Advanced Calculus

      Skills you'll gain: Advanced Mathematics, Integral Calculus, Calculus, Mathematical Theory & Analysis, Differential Equations, Applied Mathematics, Engineering Calculations, Mathematical Modeling, Linear Algebra, Physics, Derivatives

      4.4
      Rating, 4.4 out of 5 stars
      ·
      18 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Preview
      Preview
      I

      IIMA - IIM Ahmedabad

      Strategy and Game Theory for Management

      Skills you'll gain: Strategic Thinking, Game Theory, Behavioral Economics, Business Strategy, Strategic Decision-Making, Complex Problem Solving, Problem Solving, Strategic Leadership, Critical Thinking, Decision Making, Market Dynamics, Organizational Change, Business Analysis, Economics, Digital Media Strategy, Market Opportunities, Negotiation, Risk Management, Mergers & Acquisitions, Innovation

      4.8
      Rating, 4.8 out of 5 stars
      ·
      115 reviews

      Intermediate · Course · 1 - 3 Months

    • 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
      ·
      865 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of London

      Mathematics for Computer Science

      Skills you'll gain: Arithmetic, Computer Graphics, Computational Thinking, General Mathematics, Systems Of Measurement, Algebra, Cryptography

      4.2
      Rating, 4.2 out of 5 stars
      ·
      250 reviews

      Beginner · Course · 1 - 4 Weeks

    • Status: Preview
      Preview
      B

      Berklee

      Piano Techniques for Modern Music

      Skills you'll gain: Music Theory, Music, Instrumental Music, Music Performance, Creativity, Coordination

      5
      Rating, 5 out of 5 stars
      ·
      22 reviews

      Beginner · Course · 1 - 3 Months

    Number Theory learners also search

    Game Theory
    Business Analysis
    Market Research
    Economic Policy
    Marketing Analytics
    Business Statistics
    Business English
    Business Calculus
    1234…190

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

    • Fundamentals of Music Theory: The University of Edinburgh
    • Getting Started With Music Theory: Michigan State University
    • Math Prep: College & Work Ready: University of North Texas
    • H2O.ai Agents : From Theory to Practice: H2O.ai
    • Probability Theory and Regression for Predictive Analytics: University of Pittsburgh
    • Making Math Click: Understand Math Without Fear: Deep Teaching Solutions
    • Introduction to Linear Algebra: The University of Sydney
    • Introduction to Advanced Calculus: The University of Sydney
    • Strategy and Game Theory for Management: IIMA - IIM Ahmedabad
    • Combinatorics and Probability: University of California San Diego

    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

    Technical Skills

    • ChatGPT
    • Coding
    • Computer Science
    • Cybersecurity
    • DevOps
    • Ethical Hacking
    • Generative AI
    • Java Programming
    • Python
    • Web Development

    Analytical Skills

    • Artificial Intelligence
    • Big Data
    • Business Analysis
    • Data Analytics
    • Data Science
    • Financial Modeling
    • Machine Learning
    • Microsoft Excel
    • Microsoft Power BI
    • SQL

    Business Skills

    • Accounting
    • Digital Marketing
    • E-commerce
    • Finance
    • Google
    • Graphic Design
    • IBM
    • Marketing
    • Project Management
    • Social Media Marketing

    Career Resources

    • Essential IT Certifications
    • High-Income Skills to Learn
    • How to Get a PMP Certification
    • How to Learn Artificial Intelligence
    • Popular Cybersecurity Certifications
    • Popular Data Analytics Certifications
    • What Does a Data Analyst Do?
    • Career Development Resources
    • Career Aptitude Test
    • 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
    • ECTS Credit Recommendations

    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
    • Manage Cookie Preferences
    Learn Anywhere
    Download on the App Store
    Get it on Google Play
    Logo of Certified B Corporation
    © 2025 Coursera Inc. All rights reserved.
    • Coursera Facebook
    • Coursera Linkedin
    • Coursera Twitter
    • Coursera YouTube
    • Coursera Instagram
    • Coursera TikTok