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.

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: Advanced Mathematics, Differential Equations, Mathematical Theory & Analysis, Calculus, Applied Mathematics, Derivatives
Mixed · 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

École Polytechnique
Skills you'll gain: Semiconductors, Materials science, Differential Equations, Numerical Analysis, Linear Algebra, Applied Mathematics, Chemistry, Physics, Calculus
Advanced · Course · 1 - 4 Weeks

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

Johns Hopkins University
Skills you'll gain: Algebra, Graphing, Advanced Mathematics, Logical Reasoning, General Mathematics, Mathematical Theory & Analysis, Applied Mathematics, Mathematical Modeling, Visualization (Computer Graphics), Correlation Analysis
Beginner · 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, Derivatives
Intermediate · Course · 1 - 3 Months

Yonsei University
Skills you'll gain: Materials science, Semiconductors, Thermal Management, Electrical Engineering, Engineering, Manufacturing Processes, Chemical Engineering, Electronic Components, Physics
Mixed · 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

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

Skills you'll gain: Microsoft Excel, Excel Formulas, Pivot Tables And Charts, Spreadsheet Software, Data Analysis Expressions (DAX), Financial Forecasting, Financial Modeling, Financial Analysis, Business Analysis, Data-Driven Decision-Making, Data Manipulation
Beginner · Course · 1 - 4 Weeks

Coursera
Skills you'll gain: Financial Modeling, Variance Analysis, Key Performance Indicators (KPIs), Bookkeeping, Financial Forecasting, Revenue Forecasting, Budget Management, Financial Statement Analysis, Business Reporting, Dashboard, Capital Budgeting, Financial Controls, Financial Reporting, Financial Analysis, Process Improvement, Financial Services, Financial Data, Investments, Predictive Analytics, Data-Driven Decision-Making
Intermediate · Specialization · 3 - 6 Months