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.

Stanford University
Skills you'll gain: Logical Reasoning, Computational Logic, Deductive Reasoning, Computational Thinking, Problem Solving, Business Logic, Complex Problem Solving, Decision Making
Intermediate · Course · 1 - 3 Months

Skills you'll gain: Prompt Engineering, Retrieval-Augmented Generation, LLM Application, Generative AI, Large Language Modeling, Hugging Face, PyTorch (Machine Learning Library), Embeddings, Natural Language Processing
Intermediate · Course · 1 - 4 Weeks

Tecnológico de Monterrey
Skills you'll gain: Applied Mathematics, Algebra, Mathematical Modeling, Graphing, Advanced Mathematics, Mathematical Software, Calculus, Mathematical Theory & Analysis, Integral Calculus, Derivatives
Mixed · Course · 1 - 4 Weeks

Skills you'll gain: Prompt Engineering, Prompt Patterns, MLOps (Machine Learning Operations), Technical Documentation, Performance Tuning, Large Language Modeling, Technical Writing, Configuration Management, Performance Testing, Data Maintenance, Benchmarking, Requirements Analysis
Intermediate · Course · 1 - 4 Weeks

University of Michigan
Skills you'll gain: Mechanical Engineering, Thermal Management, Engineering, Energy and Utilities, Physics, Engineering Analysis, Systems Of Measurement, Physical Science, Process Analysis, Environmental Issue
Beginner · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Statistical Hypothesis Testing, Experimentation, Research Design, Statistical Analysis, Data Ethics, Statistical Modeling, Data Science, A/B Testing, Data Analysis, Quantitative Research, Regression Analysis, Statistical Inference, Probability & Statistics, Sample Size Determination, Linear Algebra, Calculus
Build toward a degree
Intermediate · Course · 1 - 4 Weeks

University of Toronto
Skills you'll gain: Control Systems, Robotics, Embedded Software, Automation, Software Architecture, Simulations, Safety Assurance, Hardware Architecture, Systems Architecture, Computer Vision, Mathematical Modeling, Safety Standards, Global Positioning Systems
Advanced · Course · 1 - 3 Months

University of Michigan
Skills you'll gain: Mechanics, Engineering, Physics, Trigonometry, Calculus, Chemical Engineering, Mathematical Modeling, Electrical Power
Beginner · Course · 1 - 4 Weeks

Rice University
Skills you'll gain: Physics, Mechanics, electromagnetics, Vibrations, Materials science, Applied Mathematics, Geometry, Physical Science, Engineering Analysis, Trigonometry, Mathematical Modeling, Advanced Mathematics, Calculus, Differential Equations, Linear Algebra, Algebra, Mathematical Theory & Analysis, Problem Solving
Intermediate · Specialization · 1 - 3 Months

University of California San Diego
Skills you'll gain: Bioinformatics, Molecular Biology, Dimensionality Reduction, Unsupervised Learning, Data Analysis, Markov Model, Network Analysis, Biochemistry, Biotechnology, Life Sciences, Infectious Diseases, Microbiology, Statistical Analysis, Biology, Algorithms, Data Preprocessing, Machine Learning, Data Analysis Software, Data Mapping, Python Programming
Beginner · Specialization · 3 - 6 Months

University of Toronto
Skills you'll gain: Computer Vision, Convolutional Neural Networks, Image Analysis, Control Systems, Robotics, Embedded Software, Automation, Deep Learning, Software Architecture, Simulations, Safety Assurance, Traffic Flow Optimization, Artificial Neural Networks, Global Positioning Systems, Machine Controls, Hardware Architecture, Systems Architecture, Network Routing, Estimation, Machine Learning Methods
Advanced · Specialization · 3 - 6 Months

Skills you'll gain: Exploratory Data Analysis, Feature Engineering, Statistical Methods, Data Preprocessing, Statistical Inference, Statistical Hypothesis Testing, Data Access, Anomaly Detection, Statistical Analysis, Data Analysis, Data Cleansing, Data Manipulation, Machine Learning, Probability & Statistics, Jupyter, Data Import/Export, Pandas (Python Package), Data Transformation, Data Quality
Intermediate · Course · 1 - 3 Months