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, Mathematical Software, Data Analysis, Mathematical Theory & Analysis, Derivatives, Graphing, Algebra
Beginner · Course · 1 - 3 Months

Macquarie University
Skills you'll gain: Sample Size Determination, Statistical Hypothesis Testing, Statistics, Descriptive Statistics, Probability & Statistics, Microsoft Excel, Data Analysis, Statistical Inference, Spreadsheet Software, Data-Driven Decision-Making, Box Plots, Probability Distribution, Histogram, Data Visualization Software, Variance Analysis
Beginner · 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

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

Princeton University
Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Advanced Mathematics, Theoretical Computer Science, Calculus, Probability, Applied Mathematics
Intermediate · Course · 1 - 3 Months

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

University of Colorado Boulder
Skills you'll gain: Object Oriented Design, Unified Modeling Language, Object Oriented Programming (OOP), Test Driven Development (TDD), JUnit, Java, Unit Testing, Software Testing, Software Engineering, Software Design Patterns, Java Programming, Software Design, Systems Analysis, Conceptual Design
Build toward a degree
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

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: Social Network Analysis, Network Analysis, Graph Theory, Social Sciences, Statistical Analysis, R Programming, Sociology, Statistical Modeling, Statistical Hypothesis Testing
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

Skills you'll gain: Regression Analysis, Statistical Hypothesis Testing, Data Analysis, Advanced Analytics, Statistical Analysis, Correlation Analysis, Analytical Skills, Business Analytics, Supervised Learning, Statistical Modeling, Scikit Learn (Machine Learning Library), Variance Analysis, Predictive Modeling, Probability & Statistics, Exploratory Data Analysis, Machine Learning, Python Programming
Advanced · Course · 1 - 3 Months