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.

Johns Hopkins University
Skills you'll gain: Calculus, Integral Calculus, Numerical Analysis, Advanced Mathematics, Mathematical Theory & Analysis, Data Integration, Mathematical Modeling, Data Analysis, Vector Databases, Probability, Geometry, Applied Mathematics, Mechanics, Engineering Calculations, Spatial Data Analysis, Derivatives, Physics
Intermediate · Specialization · 3 - 6 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

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

Johns Hopkins University
Skills you'll gain: Data Analysis, Applied Mathematics, Mathematical Modeling, Graphing, Trigonometry, R (Software), Analytical Skills, General Mathematics, Statistics, Algebra, Systems Of Measurement, Correlation Analysis, Regression Analysis, Calculus, Geometry
Beginner · Specialization · 3 - 6 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

Johns Hopkins University
Skills you'll gain: Integral Calculus, Calculus, Data Integration, Vector Databases, Mathematical Theory & Analysis, Advanced Mathematics, Applied Mathematics, Mathematical Modeling, Spatial Data Analysis, Geometry, Physics
Intermediate · Course · 1 - 4 Weeks

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

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

Johns Hopkins University
Skills you'll gain: Graphing, Data Analysis, R (Software), General Mathematics, Mathematical Modeling, Algebra, Applied Mathematics, Calculus
Beginner · 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