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 Colorado Boulder
Skills you'll gain: Chemical Engineering, Quantitative Research, Chemistry, Thermal Management, Mechanical Engineering, Engineering Calculations, Numerical Analysis, Engineering Analysis, Statistical Methods, Differential Equations, Physics, Engineering, Simulation and Simulation Software, Mechanics, Probability Distribution, Mathematical Modeling, Applied Mathematics, Materials science, Simulations, Physical Science
Advanced · Specialization · 3 - 6 Months

University of Colorado Boulder
Skills you'll gain: Operations Research, Algorithms, Applied Mathematics, Computational Thinking, Graph Theory, Mathematical Modeling, Computer Programming, Theoretical Computer Science, Linear Algebra, Combinatorics, Python Programming, Solution Design, Probability
Build toward a degree
Advanced · Course · 1 - 4 Weeks

Rice University
Skills you'll gain: Economics, Supply And Demand, Business Economics, Market Dynamics, Economic Development, Game Theory, Financial Policy, Tax, Market Analysis, International Relations, Operating Cost, Cost Benefit Analysis, Business Metrics, Public Policies, Performance Metric, International Finance, Fiscal Management, Consumer Behaviour, Investments, Labor Relations
Beginner · Specialization · 3 - 6 Months

University of Houston
Skills you'll gain: Multilingualism, Language Competency, Language Learning, Learning Theory, Non-Verbal Communication, Neurology, Human Development, Psychology, Child Development, Science and Research
Mixed · Course · 1 - 3 Months

University of Cape Town
Skills you'll gain: Climate Change Mitigation, Sustainable Development, Economic Development, Environmental Policy, Policy Development, Mathematical Modeling, Systems Thinking, Complex Problem Solving, Research, Innovation, Stakeholder Engagement
Intermediate · Course · 1 - 3 Months

Berklee
Skills you'll gain: Music Performance, Post-Production, Music, Media Production, Musical Composition, Music Theory, Editing
Beginner · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Semiconductors, Electrical Engineering, Materials science, Electronic Components, Physics, Electronics, Applied Mathematics
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Advanced · Course · 1 - 4 Weeks

Northwestern University
Skills you'll gain: Machine Controls, Control Systems, Artificial Intelligence, Automation, Graph Theory, Algorithms, Virtual Environment, Simulation and Simulation Software, Mathematical Modeling, Data Structures, Linear Algebra
Intermediate · Course · 1 - 4 Weeks
University of Illinois Urbana-Champaign
Skills you'll gain: Financial Statements, Financial Statement Analysis, Financial Analysis, Financial Acumen, Finance, Cash Flows, Balance Sheet, Income Statement, Investment Management, Return On Investment, Corporate Finance, Financial Management, Organizational Structure, Business, Business Management, Leadership and Management
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Beginner · Course · 1 - 3 Months

Skills you'll gain: Music Theory, Musical Composition, Music, Instrumental Music, Music Performance, Creativity
Intermediate · Course · 1 - 4 Weeks

Politecnico di Milano
Skills you'll gain: Blended Learning, Pedagogy, Course Development, Large Language Modeling, LLM Application, Instructional Design, Instructional and Curriculum Design, Student Engagement, Learning Strategies, Interactive Learning, Education Software and Technology, Educational Materials, AI Personalization, Curriculum Planning, Student-Centred Learning, Differentiated Instruction, Lifelong Learning, Innovation, Open Source Technology, Artificial Intelligence
Beginner · Specialization · 3 - 6 Months

University of Colorado Boulder
Skills you'll gain: Power Electronics, Semiconductors, Electrical Power, Electronics, Electrical Engineering, Electronic Components, Engineering Analysis, Simulation and Simulation Software
Build toward a degree
Intermediate · Course · 1 - 4 Weeks