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.

Wesleyan University
Skills you'll gain: Integral Calculus, Mathematical Theory & Analysis, Algebra, Advanced Mathematics, Geometry, Calculus, Trigonometry, Graphing
Intermediate · Course · 1 - 3 Months

The University of Sydney
Skills you'll gain: Linear Algebra, Markov Model, Geometry, Arithmetic, Algebra, General Mathematics, Advanced Mathematics, Probability, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Mathematical Modeling, Applied Mathematics, Statistical Methods, Vector Databases, Engineering Analysis, Computational Logic
Intermediate · Course · 1 - 4 Weeks

University of Huddersfield
Skills you'll gain: Applied Mathematics, Analytical Skills, Calculus, Engineering Calculations, Advanced Mathematics, Data-Driven Decision-Making, Derivatives
Intermediate · Course · 1 - 4 Weeks

Universitat Politècnica de València
Skills you'll gain: Calculus, Applied Mathematics, Graphing, Algebra, Derivatives, Mathematical Theory & Analysis, Geometry
Beginner · Course · 1 - 3 Months

University of Pennsylvania
Skills you'll gain: Calculus, Engineering Calculations, Mathematical Theory & Analysis, Algebra, Advanced Mathematics, Applied Mathematics, Derivatives
Mixed · Course · 1 - 4 Weeks

Vanderbilt University
Skills you'll gain: Prompt Engineering, Data Presentation, ChatGPT, Document Management, Artificial Intelligence, AI Enablement, Problem Solving, Data Analysis, Information Management, Creativity, Data Processing, Automation
Beginner · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Integral Calculus, Numerical Analysis, Calculus, Data Science, Mathematical Theory & Analysis, Applied Mathematics, Linear Algebra, Derivatives
Intermediate · Course · 1 - 4 Weeks

The Hong Kong University of Science and Technology
Skills you'll gain: Calculus, Numerical Analysis, Integral Calculus, Engineering Calculations, Applied Mathematics, Differential Equations, Algebra, Trigonometry, Engineering Analysis, Advanced Mathematics, General Mathematics, Physics, Geometry, Arithmetic, Mathematical Theory & Analysis, Mathematical Modeling, Derivatives, Graphing, Deductive Reasoning
Beginner · 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

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

Johns Hopkins University
Skills you'll gain: Calculus, Integral Calculus, Advanced Mathematics, Mathematical Theory & Analysis, Applied Mathematics, Numerical Analysis, Mathematical Modeling, Derivatives
Intermediate · Course · 1 - 3 Months

London Business School
Skills you'll gain: Financial Statement Analysis, Financial Analysis, Financial Statements, Balance Sheet, Financial Reporting, Financial Modeling, Income Statement, Return On Investment, Accounting, Investments, Cash Flows, Asset Management
Beginner · Course · 1 - 4 Weeks