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 Colorado System
Skills you'll gain: Cryptography, Arithmetic, Algorithms, Applied Mathematics, Probability, Computer Science
Beginner · Course · 1 - 4 Weeks

University of Amsterdam
Skills you'll gain: Computational Logic, Logical Reasoning, Deductive Reasoning, General Mathematics
Advanced · Course · 1 - 3 Months

Universitat Politècnica de València
Skills you'll gain: Linear Algebra, Algebra, General Mathematics, Applied Mathematics
Intermediate · Course · 1 - 4 Weeks

Johns Hopkins University
Skills you'll gain: Integral Calculus, Calculus, Geometry, Applied Mathematics, Mechanics, Engineering Calculations, Mathematical Modeling, Physics
Intermediate · Course · 1 - 4 Weeks

University of Pennsylvania
Skills you'll gain: Integral Calculus, Calculus, Differential Equations, Engineering Calculations, Advanced Mathematics, Mathematical Modeling
Mixed · Course · 1 - 4 Weeks

Johns Hopkins University
Skills you'll gain: Algebra, Arithmetic, Mathematical Modeling, Applied Mathematics, Graphing, Probability & Statistics
Beginner · Course · 1 - 3 Months

The University of Sydney
Skills you'll gain: Calculus, Integral Calculus, Algebra, Advanced Mathematics, Geometry, Engineering Calculations, Trigonometry, Arithmetic, Derivatives, Mathematical Modeling, Graphing, Estimation
Intermediate · Course · 1 - 3 Months

Universitat Politècnica de València
Skills you'll gain: Linear Algebra, Algebra, Geometry, General Mathematics, Applied Mathematics, Arithmetic
Beginner · Course · 1 - 4 Weeks

University of Pennsylvania
Skills you'll gain: Calculus, Integral Calculus, Applied Mathematics, Probability & Statistics, Geometry, Probability, Advanced Mathematics, Torque (Physics), Statistics, Mechanics, Mathematical Modeling, Physics
Mixed · Course · 1 - 3 Months

Johns Hopkins University
Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Advanced Mathematics, Geometry, Data Transformation, Applied Machine Learning, Dimensionality Reduction, Markov Model, Probability
Mixed · Course · 1 - 3 Months