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.

Imperial College London
Skills you'll gain: Dimensionality Reduction, NumPy, Probability & Statistics, Jupyter, Data Science, Statistics, Linear Algebra, Python Programming, Machine Learning, Calculus
Intermediate · Course · 1 - 4 Weeks
Duke University
Skills you'll gain: Probability, Graphing, Algebra, Bayesian Statistics, Arithmetic, Data Science, Calculus, Data Analysis, Descriptive Statistics
Beginner · Course · 1 - 4 Weeks

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

Rice University
Skills you'll gain: Basic Electrical Systems, Electrical Engineering, Physics, Mechanics, Electrical Systems, Calculus, Mathematical Modeling, Trigonometry, Problem Solving, Applied Mathematics
Intermediate · Course · 1 - 4 Weeks

University at Buffalo
Skills you'll gain: Computer Vision, Image Analysis, Computer Graphics, Visualization (Computer Graphics), Digital Design, Artificial Intelligence, Applied Machine Learning, Computer Programming, Matlab, Algorithms, Calculus, Probability & Statistics
Intermediate · Course · 1 - 4 Weeks

Skills you'll gain: Cybersecurity, Security Controls, Information Systems Security, Information Systems Security Assessment Framework (ISSAF), Cyber Security Strategy, Cyber Risk, Security Information and Event Management (SIEM), Data Ethics, Network Analysis, Personally Identifiable Information, Ethical Standards And Conduct, SQL
Build toward a degree
Beginner · Course · 1 - 4 Weeks

Rice University
Skills you'll gain: Basic Electrical Systems, Electrical Engineering, Torque (Physics), Physics, Electrical Systems, Engineering Analysis, Electronic Components, Mechanics, Electronic Systems, Mathematical Modeling, Applied Mathematics, Engineering Calculations, Problem Solving, Calculus, Advanced Mathematics, Trigonometry
Intermediate · Specialization · 3 - 6 Months

University of Rochester
Skills you'll gain: Basic Electrical Systems, Music, Electronics, Electrical Engineering, Electronic Components, Electronics Engineering, Instrumental Music, Vibrations, Engineering Analysis, Engineering Calculations, Mechanics, Construction, Calculus
Intermediate · Course · 1 - 3 Months

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

University of Colorado Boulder
Skills you'll gain: Linear Algebra, Integral Calculus, Algebra, Numerical Analysis, Calculus, Graphing, Applied Mathematics, Data Science, Mathematical Theory & Analysis, Data Analysis, Statistical Methods, Derivatives
Intermediate · Specialization · 3 - 6 Months

University of Manchester
Skills you'll gain: Chemistry, Physical Science, Physics, Laboratory Experience, Experimentation, Simulations, Engineering Calculations, Mathematical Modeling, Calculus
Mixed · Course · 1 - 3 Months

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