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 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

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

Logical Operations
Skills you'll gain: Excel Formulas, Pivot Tables And Charts, Microsoft Excel, Spreadsheet Software, Data Validation, Data Visualization, Data Analysis, Interactive Data Visualization, Productivity Software, Data Integrity, Microsoft Office, Microsoft 365
Mixed · Course · 1 - 4 Weeks

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

Corporate Finance Institute
Skills you'll gain: Microsoft Excel, Pivot Tables And Charts, Spreadsheet Software, Dashboard, Data Transformation, Data Analysis, Excel Formulas, Data Visualization Software, Data Presentation, Data Manipulation, Business Intelligence, Data Cleansing
Beginner · 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

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

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, Applied Mathematics, Derivatives, Mathematical Modeling, Machine Learning, Algorithms
Build toward a degree
Beginner · Course · 1 - 4 Weeks

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

Johns Hopkins University
Skills you'll gain: Magnetic Resonance Imaging, Medical Imaging, Radiology, Research Design, Image Analysis, Experimentation, Neurology, Data Preprocessing, Science and Research, Statistical Analysis, Statistical Modeling, Statistics
Beginner · Course · 1 - 4 Weeks

The Hong Kong University of Science and Technology
Skills you'll gain: Integral Calculus, Engineering Calculations, Calculus, Engineering Analysis, electromagnetics, Engineering, Geometry, Advanced Mathematics, Mechanical Engineering, Applied Mathematics, Mechanics, Electrical Engineering, Physics, Derivatives
Beginner · Course · 1 - 3 Months