Vector Fields Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 3

Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

Fields Institute

Integrating Vector Fields on Subcartesian Spaces

Explore advanced mathematical concepts in vector field integration on subcartesian spaces with expert Yael Karshon, part of a broader workshop and program on toric topology.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

The Classification of Finite-Dimensional Lie Algebras of Hamiltonian Vector Fields on the Plane

Explore finite-dimensional Lie algebras of Hamiltonian vector fields on the plane, their classification, properties, and applications in studying Hamiltonian systems.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Valence Labs

Meta Flow Matching - Integrating Vector Fields on the Wasserstein Manifold

Explore advanced flow-based modeling techniques for predicting biological system dynamics, focusing on population-level evolution and personalized medicine applications using Graph Neural Networks.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Calculus IV - Vector Calculus - Line Integrals, Surface Integrals, Vector Fields, Green's Theorem, Divergence Theorem, Stokes Theorem

Comprehensive exploration of vector calculus, covering line and surface integrals, vector fields, and key theorems. Ideal for advanced mathematics students seeking in-depth understanding.

• YouTube
• 5 hours
• Self-Paced
• Free Video

Krista King

Vector Calculus - Introduction to Vectors, Vector Functions, and Vector Fields

Master vector calculus from 3D geometry through advanced theorems including dot/cross products, line integrals, Green's theorem, and surface integrals in this comprehensive playlist.

• YouTube
• 12 hours 10 minutes
• Self-Paced
• Free Video

Creative Coding for Designers Using Python

Explore advanced Python techniques for dynamic simulations and procedural content generation in visual design and digital art, enhancing your creative coding skills through hands-on projects.

• Coursera
• 1 day 3 hours 4 minutes
• Self-Paced
• Paid Course

Calculus through Data & Modelling: Vector Calculus

50 ratings at Coursera

Explore vector calculus applications, including vector fields, line integrals, and Green's Theorem. Develop advanced mathematical skills for data analysis and real-world problem-solving in multivariable calculus.

• Coursera
• 4 hours 42 minutes
• Self-Paced
• Paid Course

Specialized Data Visualization Approaches

Master advanced data visualization techniques for temporal, volumetric, and multidimensional datasets, from direct volume rendering to flow visualization, enabling you to create impactful scientific and technical visualizations.

• Coursera
• 1 day 7 hours 6 minutes
• Self-Paced
• Paid Course

Professor Leonard

Line Integrals on Conservative Vector Fields - Independence of Path: Calculus 3 Lecture

Explore line integrals on conservative vector fields, understanding independence of path and the Fundamental Theorem of Line Integrals in this comprehensive calculus lecture.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 3: How to Compute Line Integrals Over Non-Conservative Vector Fields

Learn advanced techniques for computing line integrals, including over non-conservative vector fields. Gain insights into their interpretation and practical applications in calculus.

• YouTube
• 2 hours 17 minutes
• Self-Paced
• Free Video

Multivariable Calculus

2 ratings

This course covers vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.

• MIT OpenCourseWare
• 28 hours
• Self-Paced
• Free Video

Multivariable Calculus 3: Theorems and Applications

Explore elegant theorems connecting differentiation, integration, and geometry in higher dimensions while solving real-world problems involving fluid flow, electromagnetism, and diffusion.

• MITx Online
• Self-Paced
• Free Online Course

Multivariable Calculus 2: Integrals

Explore double and triple integrals, flux calculations, and Green's Theorem to solve real-world multivariable problems with advanced integration techniques.

• MITx Online
• 15 weeks, 6 hours/week
• Self-Paced
• Free Online Course

Multivariable Calculus

Explore advanced calculus concepts for multivariable functions, including vector analysis, partial derivatives, multiple integrals, and theorems. Gain practical skills through lectures, problem-solving, and interactive applets.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course