Vector Fields Courses and Certifications

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 a week
• On-Demand
• 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
• On-Demand
• Free Online Course

3Blue1Brown

Differential Equations, a Tourist's Guide

Explore ordinary differential equations through intuitive visualizations, covering concepts like vector fields, phase spaces, and real-world applications in physics and social dynamics.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Mathemaniac

Lie Groups, Algebras, and Brackets - Visual Introduction to Lie Theory

Discover Lie theory through visual intuition, exploring groups, algebras, rotations in higher dimensions, exponentials, matrix operations, and the geometric meaning behind abstract concepts.

• YouTube
• 2 hours 17 minutes
• On-Demand
• Free Video

Ordinary Differential Equations

3 reviews

This tutorial contains excerpts from Elizabeth Bradley's Nonlinear Dynamics course.

• Complexity Explorer
• 1 hour
• On-Demand
• Free Online Course

Steve Brunton

Stokes' Theorem and Conservative Vector Fields

Explore Stokes' theorem and conservative vector fields in engineering mathematics, focusing on applications and theoretical foundations for advanced problem-solving in fluid dynamics and electromagnetics.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Normal Forms for Vector Fields

Introduction to normal forms for vector fields, focusing on simplifying nonlinear terms and determining topological equivalence. Covers theory, examples, and applications in dynamical systems analysis.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Non Uniqueness for the Transport Equation with Sobolev Vector Fields

Explore non-uniqueness in transport equations with Sobolev vector fields, challenging established theorems and offering new insights into solution behavior in mathematical physics.

• YouTube
• 1 hour
• On-Demand
• Free Video

IMSA

Isotropic Killing Vector Fields and Related Structures on Complex Surfaces

Exploration of isotropic Killing vector fields on complex surfaces, examining integrable structures, topology, and geometric properties in 4-dimensional manifolds with split-signature metrics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Braided Vector Spaces and Arithmetic Statistics Over Function Fields

Explore braided vector spaces and their applications to arithmetic statistics over function fields, covering Cohen-Lenstra heuristics and Malle's conjecture through braid group cohomology.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Electrostatics and magnetostatics

Discover static electric and magnetic fields, their sources, and key mathematical operators through comprehensive theory and practical applications.

• Polimi OPEN KNOWLEDGE
• 7 hours
• On-Demand
• Free Certificate

Understanding Multivariable Calculus: Problems, Solutions, and Tips

63 ratings at The Great Courses Plus

<p>Gain a profound understanding of multivariable calculus with this excellent and clear guide that is useful for students, professionals, and lovers of mathematics.</p>

• The Great Courses Plus
• 18 hours 23 minutes
• On-Demand
• Free Trial Available

Calculus Ⅱ

Practice more, learn more! Wish you enjoy this course and get profits from our lectures.

• XuetangX
• On-Demand
• Free Online Course

Physics Explained

Quantum Field Theory - What Is a Particle?

Explore the concept of particles as excitations of relativistic quantum fields, from simple harmonic motion to quantum mechanics and field theory, in this accessible introduction to fundamental physics.

• YouTube
• 37 minutes
• On-Demand
• Free Video

3Blue1Brown

How AI Videos Actually Work - Diffusion Models, CLIP, and the Math of Turning Text into Images

Explore the mathematical foundations of AI video generation through diffusion models, CLIP embeddings, and the intricate process of transforming text prompts into visual content.

• YouTube
• 40 minutes
• On-Demand
• Free Video