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: 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

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

École Polytechnique
Skills you'll gain: Materials science, Differential Equations, Numerical Analysis, Applied Mathematics, Chemistry, Physics, Calculus
Advanced · 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, Mathematical Theory & Analysis, Applied Mathematics, Derivatives, Mathematical Modeling, Machine Learning, Algorithms
Build toward a degree
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

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: Calculus, Integral Calculus, Advanced Mathematics, Mathematical Theory & Analysis, Applied Mathematics, Numerical Analysis, Mathematical Modeling
Intermediate · 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

Johns Hopkins University
Skills you'll gain: Descriptive Statistics, Linear Algebra, Exploratory Data Analysis, Data-Driven Decision-Making, Data Analysis, Bayesian Statistics, Statistics, Artificial Intelligence and Machine Learning (AI/ML), Artificial Intelligence, Probability, Regression Analysis, Calculus, Statistical Analysis, Advanced Mathematics, Applied Mathematics, Probability Distribution, Mathematical Modeling, Integral Calculus, Algebra, Machine Learning Algorithms
Beginner · Course · 1 - 3 Months

Johns Hopkins University
Skills you'll gain: Applied Mathematics, Estimation, Calculus, Cost Estimation, Engineering Calculations, Mathematical Modeling, Operations Research, Derivatives, Graphing, Algebra
Intermediate · Course · 1 - 3 Months

Skills you'll gain: Data Visualization, Descriptive Statistics, Regression Analysis, Forecasting, Probability Distribution, Business Analytics, Data Analysis, Statistical Analysis, Statistical Methods, Microsoft Excel, Statistics, Spreadsheet Software, Predictive Analytics, Probability
Intermediate · Course · 1 - 3 Months