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 Pittsburgh
Skills you'll gain: Statistical Analysis, NumPy, Probability Distribution, Matplotlib, Statistics, Pandas (Python Package), Data Science, Probability & Statistics, Probability, Statistical Modeling, Predictive Modeling, Data Analysis, Linear Algebra, Predictive Analytics, Statistical Methods, Mathematics and Mathematical Modeling, Applied Mathematics, Python Programming, Machine Learning, Logical Reasoning
Build toward a degree
Beginner · Specialization · 1 - 3 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, Theoretical Computer Science, Data Security, Computational Logic, Algorithms
Intermediate · Specialization · 3 - 6 Months

Johns Hopkins University
Skills you'll gain: Algebra, Graphing, Applied Mathematics, Mathematical Modeling, Trigonometry, Probability, Advanced Mathematics, Data Analysis, Logical Reasoning, General Mathematics, Probability Distribution, Mathematical Theory & Analysis, Descriptive Statistics, Arithmetic, Statistics, Engineering Calculations, Calculus, Visualization (Computer Graphics), Geometry, Analytical Skills
Beginner · Specialization · 1 - 3 Months

Berklee
Skills you'll gain: Music Theory, Music, Musical Composition, Music Performance, Instrumental Music, Creativity, Coordination, Mental Concentration
Beginner · Specialization · 3 - 6 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Data Analysis, Computational Logic, Engineering Calculations, Trigonometry, Linear Algebra, Engineering Analysis, Logical Reasoning, Deductive Reasoning, Probability & Statistics, Statistical Analysis, Calculus, Analytical Skills, Bayesian Statistics, Differential Equations, Programming Principles, Statistical Inference, Theoretical Computer Science, Numerical Analysis, Descriptive Analytics, Applied Mathematics
Beginner · Specialization · 3 - 6 Months

Skills you'll gain: Canva (Software), Color Matching, Color Theory, Typography, Creative Design, Design, Graphic and Visual Design, Graphic Design, Visual Design, Layout Design, Design Elements And Principles
Beginner · Course · 1 - 4 Weeks

Niel Asher Education
Skills you'll gain: Cleanliness, Manual Therapy, Healthcare Ethics, Anatomy, Physical Therapy, Athletic Training, Cognitive Behavioral Therapy, Patient Communication, Medication Therapy Management
Advanced · Course · 1 - 3 Months

Michigan State University
Skills you'll gain: Music Theory, Music, Musical Composition, Classical Music
Beginner · Course · 1 - 4 Weeks

Duke University
Skills you'll gain: Risk Management, Business Risk Management, Credit Risk, Stakeholder Communications, Operational Risk, Proposal Development, Risk Analysis, Business Strategies, Financial Forecasting, Financial Analysis, Financial Modeling, Strategic Thinking, Strategic Decision-Making
Beginner · Course · 1 - 4 Weeks

Berklee
Skills you'll gain: Musical Composition, Music Theory, Music, Peer Review, Music Performance, Instrumental Music, Classical Music
Beginner · Specialization · 3 - 6 Months

Niel Asher Education
Skills you'll gain: Manual Therapy, Patient Evaluation, Patient Positioning, Exercise Therapy, Rehabilitation, Physical Therapy, Clinical Assessment, Patient Communication, Patient Treatment, Patient Education And Counseling, Neurology, Sports Medicine, Athletic Training, Orthopedics, Medication Therapy Management, Respiratory Therapy, Anatomy, Cognitive Behavioral Therapy, Intravenous Therapy, Mental Health Therapies
Intermediate · Course · 1 - 4 Weeks

University of Zurich
Skills you'll gain: Probability, Probability Distribution, Probability & Statistics, Statistics, Descriptive Statistics, Applied Mathematics, Risk Analysis, Finance
Beginner · Course · 1 - 3 Months