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.

University at Buffalo
Skills you'll gain: Computer Vision, Image Analysis, Computer Graphics, Color Theory, Digital Signal Processing, Applied Mathematics, Artificial Intelligence, Computer Programming, Matlab, Augmented Reality, Algorithms, Calculus, Probability & Statistics
Intermediate · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Electrical Engineering, Numerical Analysis, Linear Algebra, Physics, Angular, Applied Mathematics, Advanced Mathematics, Mathematical Modeling, Engineering Analysis, Calculus, Differential Equations, Simulations, Physical Science
Build toward a degree
Intermediate · Specialization · 1 - 3 Months

Skills you'll gain: Prompt Engineering, Apache Spark, Large Language Modeling, Transfer Learning, PyTorch (Machine Learning Library), Model Evaluation, Computer Vision, Retrieval-Augmented Generation, Unsupervised Learning, Generative Model Architectures, Generative AI, PySpark, Vision Transformer (ViT), Keras (Neural Network Library), LLM Application, Supervised Learning, Vector Databases, Machine Learning, Python Programming, Data Science
Build toward a degree
Intermediate · Professional Certificate · 3 - 6 Months

Wesleyan University
Skills you'll gain: Integral Calculus, Mathematical Theory & Analysis, Algebra, Advanced Mathematics, Geometry, Calculus, Trigonometry, Graphing
Intermediate · Course · 1 - 3 Months

Rice University
Skills you'll gain: Mechanics, Torque (Physics), Physics, Problem Solving, Mechanical Engineering, Engineering Calculations, Calculus, Engineering Analysis, Graphing, Physical Science, Mathematical Modeling, Algebra, Applied Mathematics, Geometry, Trigonometry
Intermediate · Specialization · 1 - 3 Months

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

Skills you'll gain: Model Context Protocol, OpenAI API, Retrieval-Augmented Generation, OpenAI, Generative AI Agents, Embeddings, ChatGPT, Agentic systems, Vector Databases, Generative AI, Artificial Intelligence, Context Management, Model Evaluation, Application Programming Interface (API), Python Programming, Application Deployment
Intermediate · Course · 1 - 4 Weeks

Georgia Institute of Technology
Skills you'll gain: Mechanics, Mechanical Engineering, Engineering Analysis, Torque (Physics), Vibrations, Engineering, Physics, Calculus, Mathematical Modeling
Mixed · Course · 1 - 3 Months
University of Illinois Urbana-Champaign
Skills you'll gain: Application Specific Integrated Circuits, Hardware Design, Computer-Aided Design, Systems Design, Computer Architecture, Network Routing, Computational Logic, Electrical Engineering, Data Structures, Algorithms, Graph Theory, Mathematical Modeling, Calculus
Intermediate · Course · 1 - 3 Months

University of California, Davis
Skills you'll gain: Spatial Analysis, ArcGIS, Geographic Information Systems, Geospatial Mapping, Data Quality, Data Mapping, Data Modeling, Vector Databases, Data Management, Data Storage, Data Sharing, Data Manipulation, Relational Databases, Query Languages, Analytics
Intermediate · Course · 1 - 4 Weeks

Skills you'll gain: Vector Databases, LLM Application, Retrieval-Augmented Generation, Generative AI, Embeddings, Document Management, Natural Language Processing, User Interface (UI)
Intermediate · Course · 1 - 4 Weeks

University of California San Diego
Skills you'll gain: Data Structures, Graph Theory, Algorithms, Program Development, Bioinformatics, Data Storage, Development Testing, Theoretical Computer Science, Computational Thinking, Network Analysis, Test Case, Programming Principles, Computer Programming, Python Programming, C and C++, Java, Rust (Programming Language), Javascript, Software Testing, Debugging
Intermediate · Specialization · 3 - 6 Months