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.

Georgia Institute of Technology
Skills you'll gain: Mechanics, Torque (Physics), Engineering Analysis, Differential Equations, Engineering, Applied Mathematics, Physics, Trigonometry, Advanced Mathematics, Calculus
Mixed · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Estimation, Model Evaluation, Simulation and Simulation Software, Machine Learning Methods, Applied Mathematics, Laboratory Testing, Matlab, Numerical Analysis, Electric Power Systems, Mathematical Modeling, Electrical Power, Statistical Methods, Electronic Components, Research, Scripting, Algorithms, Calculus
Intermediate · Course · 1 - 3 Months

Northwestern University
Skills you'll gain: Robotics, Simulation and Simulation Software, Mathematical Modeling, Mechanical Engineering, Vibrations, Algorithms, Torque (Physics), Control Systems, Applied Mathematics, Calculus, Linear Algebra
Intermediate · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Statistical Modeling, R Programming, Data Analysis, Data Ethics, Statistical Methods, Regression Analysis, Predictive Modeling, Mathematical Modeling, Machine Learning, Logistic Regression, Statistical Inference, Model Evaluation, Probability Distribution, Linear Algebra, Calculus
Build toward a degree
Intermediate · Course · 1 - 4 Weeks

Skills you'll gain: Retrieval-Augmented Generation, OpenAI API, Context Management, User Interface (UI), Vector Databases, Debugging
Advanced · Course · 1 - 3 Months

Korea Advanced Institute of Science and Technology(KAIST)
Skills you'll gain: Vibrations, Mechanics, Systems Of Measurement, Engineering Analysis, Differential Equations, Engineering Calculations, Physics, Calculus, Applied Mathematics, Mathematical Modeling
Intermediate · Course · 1 - 3 Months

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
University of Michigan
Skills you'll gain: Mathematical Modeling, Systems Thinking, Strategic Decision-Making, Innovation, Social Sciences, Strategic Thinking, Decision Making, Complex Problem Solving, Critical Thinking, Network Analysis, Economics, Probability, Market Dynamics
Intermediate · Course · 1 - 3 Months

École Polytechnique Fédérale de Lausanne
Skills you'll gain: Derivatives, Financial Market, Risk Management, Investments, Financial Modeling, Market Data, Portfolio Management, Mathematical Modeling, Finance, Probability, Statistical Modeling, Estimation, Applied Mathematics
Advanced · Course · 1 - 3 Months

Tecnológico de Monterrey
Skills you'll gain: Mathematical Modeling, Calculus, Physics, Integral Calculus, Graphing, Advanced Mathematics, Applied Mathematics, Mechanics, Linear Algebra, Geometry, Trigonometry, Derivatives
Mixed · Course · 1 - 3 Months

Cisco Learning and Certifications
Skills you'll gain: OSI Models, Network Security, Network Protocols, Network Performance Management, Network Architecture, Network Monitoring, Role-Based Access Control (RBAC), Network Troubleshooting, Network Administration, Computer Networking, TCP/IP, Network Planning And Design, Cybersecurity, Routing Protocols, Firewall, Network Routing, Network Analysis, IT Infrastructure, Cloud Computing, Automation
Beginner · Specialization · 3 - 6 Months

University of California San Diego
Skills you'll gain: Graph Theory, Logical Reasoning, Combinatorics, Computational Logic, Deductive Reasoning, Cryptography, Probability, Computational Thinking, Encryption, Probability Distribution, Network Analysis, Public Key Cryptography Standards (PKCS), Theoretical Computer Science, Bayesian Statistics, Python Programming, Data Structures, Cybersecurity, Algorithms, Arithmetic, Visualization (Computer Graphics)
Beginner · Specialization · 3 - 6 Months