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 System
Skills you'll gain: Data Encryption Standard, Public Key Infrastructure, Cryptography, Brute-force attacks, Key Management, Advanced Encryption Standard (AES), Cryptographic Protocols, Encryption, Data Integrity, Cybersecurity, Computer Security, Information Assurance, Authentications, Data Security, Theoretical Computer Science, Threat Modeling, Communication Systems, Algorithms, Digital Communications
★ 4.6 (923) · Intermediate · Specialization · 3 - 6 Months

Sage Publications
Skills you'll gain: Infographics, Interactive Data Visualization, Data Visualization, Data Presentation, Graphic and Visual Design, Layout Design, Visualization (Computer Graphics), Visual Design, Typography, Design, Graphic Design, Usability, Color Theory, Design Research, Design Elements And Principles, Human Factors
Intermediate · Course · 1 - 4 Weeks

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Data Analysis, Computational Logic, Integral Calculus, Trigonometry, Linear Algebra, Engineering Analysis, Logical Reasoning, Deductive Reasoning, Probability & Statistics, Statistical Analysis, Calculus, Statistical Methods, Analysis, Advanced Mathematics, Bayesian Statistics, Statistical Inference, Theoretical Computer Science, Mathematics and Mathematical Modeling, Numerical Analysis, Descriptive Analytics
★ 4.5 (204) · Beginner · Specialization · 3 - 6 Months

University of London
Skills you'll gain: Computational Logic, Algorithms, Arithmetic, Applied Mathematics, Advanced Mathematics, Mathematics and Mathematical Modeling, Deductive Reasoning, Mathematical Theory & Analysis, Trigonometry, Geometry, Statistics, General Mathematics, Graphing, Computer Science, Mathematical Modeling, Programming Principles, Business Mathematics, Business Logic, Algebra, Problem Solving
★ 3.9 (15) · Beginner · Specialization · 3 - 6 Months

The Hong Kong University of Science and Technology
Skills you'll gain: Geometry, Mathematical Theory & Analysis, Advanced Mathematics, Algebra, Applied Mathematics, Linear Algebra
★ 4.8 (1.2K) · Beginner · Course · 1 - 4 Weeks

Berklee
Skills you'll gain: Music Theory, Musical Composition, Music, Music Performance, Peer Review, Instrumental Music, Performing Arts
★ 4.8 (1.7K) · Beginner · Specialization · 3 - 6 Months

Berklee
Skills you'll gain: Music Theory, Music, Musical Composition, Music Performance, Instrumental Music, Performing Arts, Creativity, Coordination, Mental Concentration
★ 4.8 (2.6K) · Beginner · Specialization · 3 - 6 Months

The University of Sydney
Skills you'll gain: Linear Algebra, Markov Model, Geometry, Arithmetic, Algebra, General Mathematics, Advanced Mathematics, Mathematics and Mathematical Modeling, Applied Mathematics
★ 4.8 (45) · Intermediate · Course · 1 - 4 Weeks

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Theoretical Computer Science, Computational Logic, Mathematical Theory & Analysis, Algorithms, Computational Thinking, Programming Principles, Computer Science, Graph Theory, Deductive Reasoning, Natural Language Processing, Logical Reasoning, Formal Learning
Intermediate · Course · 1 - 3 Months

University of Colorado System
Skills you'll gain: Cryptography, Brute-force attacks, Cryptographic Protocols, Encryption, Key Management, Cybersecurity, Computer Security, Information Assurance, Theoretical Computer Science, Threat Modeling, Communication Systems
★ 4.5 (551) · Intermediate · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Probability, Statistical Inference, Estimation, Probability & Statistics, Statistical Methods, Probability Distribution, Statistics, Bayesian Statistics, Markov Model, Statistical Analysis, Sampling (Statistics), Applied Mathematics, Artificial Intelligence, Generative AI, Data Analysis, Correlation Analysis, Data Science, Decision Intelligence, Machine Learning Algorithms, Mathematical Theory & Analysis
★ 4.4 (367) · Intermediate · Specialization · 3 - 6 Months

University of Colorado Boulder
Skills you'll gain: Quantum computing, Public Key Cryptography Standards (PKCS), Cryptography, Data Structures, Cryptographic Protocols, Algorithms, Encryption, Theoretical Computer Science, Computer Science, Programming Principles, Mathematical Software, Advanced Mathematics
★ 4.6 (69) · Advanced · Course · 1 - 4 Weeks