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.

Skills you'll gain: GIS Software, Model Evaluation, Geographic Information Systems, Extract, Transform, Load, Spatial Analysis, Data Visualization, Spatial Data Analysis, Geospatial Mapping, Data Pipelines, Geospatial Information and Technology, Apache Airflow, Geostatistics, Interactive Data Visualization, Scientific Visualization, Data Visualization Software, Cloud Computing, Leaflet (Software), Environmental Monitoring, Pandas (Python Package), Python Programming
Beginner · Specialization · 3 - 6 Months

University of Colorado System
Skills you'll gain: Matlab, Estimation, Applied Mathematics, Numerical Analysis, Mathematical Modeling, Control Systems, Mathematical Software, Simulation and Simulation Software, Model Evaluation, Derivatives, System Implementation, Calculus
Intermediate · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Natural Language Processing, Model Evaluation, Model Optimization, Embeddings, Text Mining, Logistic Regression, Model Training, Statistical Modeling, Machine Learning Methods, Markov Model, Classification Algorithms, Data Preprocessing, Supervised Learning
Build toward a degree
Intermediate · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Control Systems, Simulation and Simulation Software, Mechanics, Numerical Analysis, Differential Equations, Mathematical Modeling, Engineering Analysis, Simulations, Engineering Calculations, Advanced Mathematics, Linear Algebra, Engineering Design Process, Torque (Physics), Trigonometry, Program Development, Applied Mathematics, Physics, Calculus, Mathematical Theory & Analysis
Advanced · Specialization · 1 - 3 Months

Peking University
Skills you'll gain: Game Theory, Social Network Analysis, Graph Theory, Network Analysis, Computational Thinking, Market Dynamics, Web Analytics and SEO, Network Model, Social Sciences, Socioeconomics, Sociology, Market Analysis, Economics, Bidding, Behavioral Economics, Analysis, Decision Making
Mixed · Course · 3 - 6 Months

Skills you'll gain: Retrieval-Augmented Generation, Vector Databases, LLM Application, AI Workflows, Embeddings, AI Integrations, Large Language Modeling, Graph Theory, Query Languages, Interactive Data Visualization, Data Processing, Development Environment
Intermediate · Course · 1 - 3 Months

Skills you'll gain: Scikit Learn (Machine Learning Library), Predictive Modeling, Regression Analysis, Machine Learning Algorithms, Applied Machine Learning, Predictive Analytics, Python Programming, Classification Algorithms, Model Training, Machine Learning, Data Analysis
Beginner · Guided Project · Less Than 2 Hours

Board Infinity
Skills you'll gain: Prompt Engineering, Prompt Patterns, Retrieval-Augmented Generation, LLM Application, Generative AI Agents, AI Workflows, LangChain, Model Context Protocol, Vector Databases, AI Orchestration, Agentic Workflows, Tool Calling, Artificial Intelligence and Machine Learning (AI/ML), LangGraph, Large Language Modeling, Agentic systems, Embeddings, Model Deployment, AI Integrations, Artificial Intelligence
Intermediate · Specialization · 1 - 3 Months
The Hong Kong University of Science and Technology
Skills you'll gain: Physics, Advanced Mathematics, Calculus, Differential Equations, Linear Algebra, Integral Calculus, Physical Science, Mechanics, Mathematical Modeling, Applied Mathematics, Scientific Methods
Mixed · Course · 1 - 3 Months

Illinois Tech
Skills you'll gain: Statistical Analysis, Data Analysis, Data Science, Statistical Programming, Statistical Methods, Statistical Machine Learning, Statistical Modeling, Applied Machine Learning, Model Evaluation, Regression Analysis, Statistics, Machine Learning Methods, Machine Learning Algorithms, Bayesian Statistics, Supervised Learning, Statistical Inference, Machine Learning, Unsupervised Learning, Predictive Modeling, Logistic Regression
Build toward a degree
Intermediate · Course · 1 - 3 Months

Skills you'll gain: Reinforcement Learning, Dimensionality Reduction, PyTorch (Machine Learning Library), Machine Learning Algorithms, Data Preprocessing, Model Training, Model Evaluation, Artificial Intelligence and Machine Learning (AI/ML), Generative Adversarial Networks (GANs), Deep Learning, Generative AI, Applied Machine Learning, Pandas (Python Package), Scikit Learn (Machine Learning Library), Python Programming, Model Optimization, Machine Learning, Artificial Neural Networks, Natural Language Processing, Feature Engineering
Intermediate · Course · 3 - 6 Months

The Hong Kong University of Science and Technology
Skills you'll gain: HTML and CSS, Cascading Style Sheets (CSS), Hypertext Markup Language (HTML), jQuery, Javascript and jQuery, Web Design and Development, Javascript, Web Development, Animations, Front-End Web Development, Animation and Game Design, Web Applications, Visualization (Computer Graphics), Computer Graphics, Code Reusability
Intermediate · Course · 1 - 3 Months