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.

University of Pennsylvania
Skills you'll gain: Supply And Demand, Economics, Market Dynamics, Market Analysis, Resource Allocation, Policy Analysis, Tax, Consumer Behaviour, Cost Benefit Analysis, Decision Making
Mixed · Course · 1 - 3 Months

University of California, Santa Cruz
Skills you'll gain: C++ (Programming Language), Software Design Patterns, Object Oriented Programming (OOP), C (Programming Language), Debugging, Algorithms, Graph Theory, Artificial Intelligence, Data Structures, Game Design
Intermediate · Course · 1 - 3 Months

University of Colorado System
Skills you'll gain: Object Oriented Design, Unity Engine, Debugging, Object Oriented Programming (OOP), Game Design, Video Game Development, Software Design Patterns, Data Structures, C# (Programming Language), Prototyping, Programming Principles, Graph Theory, Computer Programming, Data Management, Event-Driven Programming, Software Architecture, Algorithms, File I/O, Data Storage, Application Development
Beginner · Specialization · 3 - 6 Months
Skills you'll gain: Diagram Design, Technical Documentation, Technical Drawing, Software Design Documents, Unified Modeling Language, Technical Communication, Data Flow Diagrams (DFDs), Document Management, Style Guides, Image Quality, File Management, Software Versioning, Graphic and Visual Design, Web Content Accessibility Guidelines, Version Control, Typography
Intermediate · Course · 1 - 4 Weeks

Columbia University
Skills you'll gain: Computer Vision, Image Quality, Image Analysis, Computer Graphics, 3D Modeling, Photography, Virtual Reality, Visualization (Computer Graphics), Medical Imaging, Artificial Neural Networks, Unsupervised Learning, Graph Theory, Dimensionality Reduction, Mathematical Modeling, Estimation, Machine Learning Algorithms, Color Theory, Algorithms, Automation Engineering, Electronic Components
Beginner · Specialization · 3 - 6 Months

University of Colorado System
Skills you'll gain: Data Encryption Standard, Public Key Infrastructure, Cryptography, Public Key Cryptography Standards (PKCS), Brute-force attacks, Key Management, Advanced Encryption Standard (AES), Encryption, Data Integrity, Information Systems Security, Cybersecurity, Authentications, Information Assurance, Data Security, Theoretical Computer Science, Computational Logic, Algorithms
Intermediate · Specialization · 3 - 6 Months

Northeastern University
Skills you'll gain: Engineering Management, Project Risk Management, Innovation, Risk Management, Project Management, Project Design, Project Management Life Cycle, Cost Management, Creativity, Planning, Organizational Structure, Project Planning, Creative Thinking, Budgeting, Work Breakdown Structure, Leadership and Management, Organizational Strategy, Agile Methodology, Resource Allocation
Beginner · Course · 1 - 3 Months

Skills you'll gain: Music Theory, Musical Composition, Music, Music Performance, File Management, Instrumental Music, Storytelling, Performing Arts, Media Production, Automation, Writing, Editing, Technical Support, Creativity
Beginner · Specialization · 3 - 6 Months

University of California San Diego
Skills you'll gain: Combinatorics, Theoretical Computer Science, Algorithms, Graph Theory, Computational Thinking, Operations Research, Applied Mathematics, Python Programming, Mathematical Modeling
Beginner · Course · 1 - 4 Weeks

University of Virginia
Skills you'll gain: Business Strategy, Strategic Thinking, Competitive Analysis, Organizational Strategy, Business Planning, Strategic Decision-Making, Corporate Strategy, Market Analysis, Analysis, Value Propositions
Beginner · Course · 1 - 4 Weeks

University of Washington
Skills you'll gain: Software Installation, Programming Principles, Other Programming Languages, Functional Design, Computer Programming, Ruby (Programming Language), Theoretical Computer Science, Software Design, Computational Thinking
Intermediate · Course · 1 - 3 Months

University of Pennsylvania
Skills you'll gain: Social Network Analysis, Social Media Strategy, Content Marketing, Social Media Marketing, Consumer Behaviour, Marketing Communications, Influencing, Advertising, Marketing, Marketing Psychology, Brand Strategy, Storytelling, Drive Engagement
Mixed · Course · 1 - 4 Weeks