Vector calculus courses can help you learn gradient, divergence, curl, and line integrals, along with surface and volume integrals. You can build skills in applying these concepts to fluid dynamics, electromagnetism, and optimization problems. Many courses introduce tools like MATLAB or Python for numerical simulations and visualizations, enabling you to analyze vector fields and solve complex equations effectively.

The Hong Kong University of Science and Technology
Skills you'll gain: Linear Algebra, Engineering Calculations, Algebra, Engineering Analysis, General Mathematics, Advanced Mathematics, Applied Mathematics, Arithmetic, Computational Logic
Beginner · Course · 1 - 4 Weeks

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

Skills you'll gain: Derivatives, Financial Market, Securities (Finance), Finance, Risk Modeling, Mathematical Modeling, Financial Modeling, Risk Management, Portfolio Management, Probability, Advanced Mathematics, Differential Equations, Applied Mathematics, Calculus
Intermediate · Course · 1 - 3 Months

Korea Advanced Institute of Science and Technology(KAIST)
Skills you'll gain: electromagnetics, Electrical Engineering, Electrical Systems, Differential Equations, Physics, Materials science, Engineering Analysis, Applied Mathematics, Electronic Components, Advanced Mathematics, Scientific Visualization, Visualization (Computer Graphics), Engineering Calculations, Mechanics, Energy and Utilities, Electronics, Mathematical Modeling, Calculus
Intermediate · 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

University of Michigan
Skills you'll gain: Finite Element Methods, Engineering Analysis, Mathematical Software, Numerical Analysis, Mathematical Modeling, Advanced Mathematics, C++ (Programming Language)
Intermediate · Course · 3 - 6 Months

Skills you'll gain: Natural Language Processing, Supervised Learning, Embeddings, Dimensionality Reduction, Machine Learning Methods, Text Mining, Statistical Machine Learning, Classification Algorithms, Feature Engineering, Probability & Statistics
Intermediate · 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

Skills you'll gain: NoSQL, Database Systems, Databases, Data Infrastructure, Data Storage Technologies, Scalability, Artificial Intelligence and Machine Learning (AI/ML), Algorithms
Intermediate · 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

Google Cloud
Skills you'll gain: Retrieval-Augmented Generation, Embeddings, Vector Databases, Semantic Web, Generative AI, Large Language Modeling, Natural Language Processing, Google Cloud Platform, Algorithms
Intermediate · Course · 1 - 4 Weeks