Vector Fields Courses and Certifications

Fields Institute

New Techniques for the Resolution of Singularities of Vector Fields and Differential Operators

Explore advanced techniques for resolving singularities in vector fields and differential operators, covering adapted charts, stable systems, and transformation methods.

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

Fields Institute

New Techniques for the Resolution of Singularities of Vector Fields and Differential Operators - Lecture 1

Explore advanced mathematical techniques for resolving singularities in vector fields and differential operators, covering topics like Susma Theorem, foliations, and normal forms.

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

Joint Mathematics Meetings

Flows of Nonsmooth Vector Fields - Lecture 1

Explore the intricacies of non-smooth vector field flows in this advanced mathematics lecture by Camillo De Lellis, delving into complex theoretical concepts and their applications.

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

Professor Dave Explains

Vector Fields, Divergence, and Curl

Explore vector fields, divergence, and curl in mathematics. Learn about the del operator and its applications with dot and cross products to analyze vector field properties.

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

Institute for Advanced Study

Flows of Vector Fields: Classical and Modern - Camillo DeLellis

Explore classical and modern theories of vector field flows, covering key concepts, examples, and recent developments in analysis and differential equations.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

HyperComplex Seminar

The Divergence Theorem for Vector Fields - Applications and Generalizations

Explore the divergence theorem's applications in PDEs, geometry, physics, and engineering, including proofs of Archimedean principle and multidimensional Pythagorean theorem.

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

Dot Physics

Vector Fields - Calculating the Line Integral Work Around Closed Paths

Explore vector fields and calculate line integral work around closed paths using analytical and numerical methods with Python.

• YouTube
• 28 minutes
• On-Demand
• 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
• On-Demand
• Free Online Course (Audit)

Multivariable Calculus

2 reviews

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

• MIT OpenCourseWare
• 28 hours
• On-Demand
• Free Video

Calculus through Data & Modelling: Vector Calculus

36 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
• On-Demand
• Free Online Course (Audit)

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

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

Vector Calculus for Engineers

2 reviews

Master vector calculus concepts and applications in engineering, covering vectors, coordinate systems, fields, integrals, and theorems with practical examples and electromagnetic applications.

• YouTube
• 9 hours
• On-Demand
• Free Video

NPTEL;  IIT Bombay

Electromagnetic Theory

1 review

Comprehensive exploration of electromagnetic theory, covering fields, potentials, Maxwell's equations, waves, and applications in waveguides and radiation. Ideal for advanced physics students.

• YouTube
• 1 day 10 hours
• On-Demand
• Free Video

Understanding Multivariable Calculus: Problems, Solutions, and Tips

61 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