Functional analysis courses can help you learn about normed spaces, Banach and Hilbert spaces, and linear operators. You can build skills in understanding convergence, continuity, and spectral theory, which are vital for various applications. Many courses introduce tools like MATLAB or Python for numerical analysis and simulations, allowing you to apply theoretical concepts to real-world problems in physics, engineering, and economics.

University of Pittsburgh
Skills you'll gain: Statistical Analysis, Statistical Modeling, Predictive Modeling, Data Analysis, Statistics, Integral Calculus, Probability & Statistics, Data Science, Probability Distribution, Calculus, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Applied Mathematics, Derivatives, Mathematical Modeling, Machine Learning, Algorithms
Build toward a degree
Beginner · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Object Oriented Design, Unified Modeling Language, Object Oriented Programming (OOP), Test Driven Development (TDD), JUnit, Java, Unit Testing, Software Testing, Software Engineering, Software Design Patterns, Java Programming, Software Design, Systems Analysis, Conceptual Design
Build toward a degree
Intermediate · Course · 1 - 3 Months

The University of Melbourne
Skills you'll gain: Financial Analysis, Financial Statement Analysis, Financial Statements, Accounting, Balance Sheet, Income Statement, Financial Reporting, Corporate Finance, Cash Flows, Accrual Accounting, Risk Analysis, Governance
Mixed · Course · 1 - 4 Weeks

Shanghai Jiao Tong University
Skills you'll gain: Combinatorics, Graph Theory, Theoretical Computer Science, Mathematical Theory & Analysis, Advanced Mathematics, Network Analysis, Computational Thinking, Algorithms, Data Structures, Computer Science
Intermediate · Course · 1 - 3 Months

Princeton University
Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Advanced Mathematics, Theoretical Computer Science, Calculus, Probability, Applied Mathematics
Intermediate · Course · 1 - 3 Months

University of Pittsburgh
Skills you'll gain: NumPy, Matplotlib, Linear Algebra, Pandas (Python Package), Data Manipulation, Applied Mathematics, Python Programming, Data Analysis, Data Science, Regression Analysis, Data Visualization Software, Mathematics and Mathematical Modeling, Probability & Statistics, Numerical Analysis, Mathematical Modeling, Machine Learning, Computational Logic, Logical Reasoning
Build toward a degree
Beginner · Course · 1 - 4 Weeks

Imperial College London
Skills you'll gain: Regression Analysis, Calculus, Advanced Mathematics, Machine Learning Algorithms, Statistical Analysis, Linear Algebra, Artificial Neural Networks, Python Programming, Derivatives
Beginner · Course · 1 - 3 Months

Johns Hopkins University
Skills you'll gain: Integral Calculus, Calculus, Linear Algebra, Mathematical Theory & Analysis, Advanced Mathematics, Visualization (Computer Graphics), Applied Mathematics, Graphing, Mathematical Modeling, Spatial Data Analysis
Intermediate · Course · 1 - 4 Weeks

Johns Hopkins University
Skills you'll gain: R Programming, Statistical Analysis, Combinatorics, Data Analysis, Probability, Statistics, Probability Distribution, Probability & Statistics, Bayesian Statistics, Applied Mathematics, Data Science, Artificial Intelligence and Machine Learning (AI/ML), Simulations
Intermediate · Course · 1 - 3 Months

University of Pennsylvania
Skills you'll gain: Calculus, Numerical Analysis, Applied Mathematics, Engineering Calculations, Integral Calculus, Engineering Analysis, Differential Equations, Mathematical Theory & Analysis, Advanced Mathematics, Estimation, Derivatives
Mixed · Course · 1 - 3 Months

Vanderbilt University
Skills you'll gain: IntelliJ IDEA, Java Programming, Object Oriented Programming (OOP), Java, Integrated Development Environments, Computer Programming, Open Source Technology, Programming Principles, Distributed Computing, Scalability, Functional Design, Algorithms
Intermediate · Course · 1 - 4 Weeks

Microsoft
Skills you'll gain: Stakeholder Management, Business Analysis, Project Management, Stakeholder Analysis, Analysis, Requirements Elicitation, Risk Management, Microsoft Power Platform, Business Process Improvement, Problem Management
Beginner · Course · 1 - 4 Weeks