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.

École Polytechnique
Skills you'll gain: Mathematical Theory & Analysis, Differential Equations, Advanced Mathematics, Applied Mathematics, Calculus, Derivatives
Mixed · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Graph Theory, Data Structures, Algorithms, Tree Maps, Network Analysis, Computational Thinking, Python Programming
Build toward a degree
Advanced · Course · 1 - 4 Weeks

Skills you'll gain: NoSQL, MongoDB, Databases, Apache Cassandra, Distributed Computing, Database Management, Database Architecture and Administration, IBM Cloud, Query Languages, Data Modeling, JSON, Scalability, Data Manipulation
Beginner · Course · 1 - 3 Months

Johns Hopkins University
Skills you'll gain: Magnetic Resonance Imaging, Data Analysis, Analytical Skills, Image Analysis, Statistical Analysis, Advanced Analytics, Network Analysis, Psychology, Time Series Analysis and Forecasting, Matlab, Neurology, Statistical Modeling, Statistical Methods
Mixed · Course · 1 - 4 Weeks

The Hong Kong University of Science and Technology
Skills you'll gain: Physics, Advanced Mathematics, Simulations, Mechanics, Mathematical Modeling, Calculus, Differential Equations, Physical Science, Computer Programming
Beginner · Course · 1 - 4 Weeks

UNSW Sydney (The University of New South Wales)
Skills you'll gain: Image Analysis, Unsupervised Learning, Geospatial Information and Technology, Machine Learning Methods, Computer Vision, Feature Engineering, Spatial Analysis, Machine Learning, Dimensionality Reduction, Convolutional Neural Networks, Deep Learning, Supervised Learning, Classification Algorithms, Probability & Statistics, Artificial Neural Networks
Intermediate · Course · 3 - 6 Months

Johns Hopkins University
Skills you'll gain: Regression Analysis, Statistical Modeling, R Programming, Linear Algebra, Data Science, Mathematical Modeling, Data Modeling, Statistics, Statistical Analysis, Applied Mathematics, General Mathematics, Derivatives
Advanced · Course · 1 - 3 Months

Skills you'll gain: Unsupervised Learning, Dimensionality Reduction, Scikit Learn (Machine Learning Library), Machine Learning Algorithms, Data Preprocessing, Feature Engineering, Machine Learning, Text Mining, Data Science, Big Data, Data Analysis, Algorithms
Intermediate · Course · 1 - 3 Months

Peking University
Skills you'll gain: electromagnetics, Electrical Engineering, Electrical Systems, Physics, Advanced Mathematics, Materials science, Engineering Analysis, Calculus
Mixed · Course · 1 - 3 Months

Korea Advanced Institute of Science and Technology(KAIST)
Skills you'll gain: Mechanics, Mechanical Engineering, Torque (Physics), Vibrations, Engineering Analysis, Physics, Applied Mathematics, Calculus
Intermediate · Course · 3 - 6 Months

The University of Edinburgh
Skills you'll gain: Precision Medicine, Bioinformatics, Image Analysis, Biomedical Technology, Big Data, Data Science, Data Ethics, Health Informatics, Statistical Modeling, Machine Learning, Natural Language Processing, Data Integration, Network Analysis, Graph Theory, Python Programming
Intermediate · Course · 1 - 3 Months

Skills you'll gain: Retrieval-Augmented Generation, LLM Application, Embeddings, Vector Databases, Jupyter
Intermediate · Course · 1 - 4 Weeks