Stokes' Theorem Courses and Certifications

Steve Brunton

Stokes' Theorem and Green's Theorem

See how Stokes’ and Green’s theorems turn surface curl into boundary circulation—and measure irregular land areas from their perimeters.

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

Steve Brunton

Stokes' Theorem and Conservative Vector Fields

A lecture on Stokes' theorem and conservative vector fields in engineering mathematics.

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

Michael Penn

Multivariable Calculus - Stoke's Theorem

A concise description of Stokes' Theorem with a sketch of its proof.

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

Multivariable Calculus 3: Theorems and Applications

Compute line and surface integrals, identify conservative fields and potential functions, and apply the Divergence and Stokes' theorems to fluid flow, electromagnetism, and diffusion problems.

• MITx Online
• Self-Paced
• Free Online Course

Steve Brunton

Engineering Math - Vector Calculus and Partial Differential Equations

Master vector calculus fundamentals and solve key partial differential equations governing physics, from divergence and curl to heat and wave equations.

• YouTube
• 9 hours 20 minutes
• Self-Paced
• Free Video

IISc Bangalore;  NPTEL

An Introduction to Smooth Manifolds

Learn the foundations of smooth manifold theory, from differentiable manifolds and tangent spaces to differential forms, integration, and Stokes' theorem.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

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

A six-week vector calculus course linking line and surface integrals through vector fields, Green’s, Stokes’, and divergence theorems.

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

Professor Leonard

Surface and Flux Integrals, Parametric Surf., Divergence-Stoke's Theorem: Calculus 3 Lecture

Learn to parameterize surfaces, compute surface and flux integrals, and apply the Divergence and Stokes' theorems.

• YouTube
• 3 hours 32 minutes
• Self-Paced
• Free Video

Michael Penn

Multivariable Calculus

Master vector calculus fundamentals through comprehensive coverage of derivatives, integrals, and theorems in multiple dimensions with practical applications.

• YouTube
• 19 hours 34 minutes
• Self-Paced
• Free Video

Michael Penn

Multivariable Calculus - Line Integrals

Master line integrals in multivariable calculus, from basic definitions to advanced theorems like Green's and Stokes', with comprehensive examples and applications.

• YouTube
• 4 hours 34 minutes
• Self-Paced
• Free Video

Math with Professor V

Vector Calculus Final Exam Solutions - Line Integrals, Green's Theorem, and Surface Integrals

Master advanced vector calculus concepts through a detailed final exam walkthrough covering line integrals, Green's theorem, surface integrals, Stokes' theorem, and the divergence theorem.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Dot Physics

Electrodynamics - Griffiths Chapter 1 Summary

Master vector calculus fundamentals including gradient, divergence, curl, and integral theorems essential for electrodynamics using Griffiths' approach.

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

Sean Fitzpatrick

APEX Calculus - Vector Calculus

A calculus course on vector fields, line and surface integrals, and the theorems that connect them.

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

Dr. Gajendra Purohit

Vector Calculus

Comprehensive exploration of vector calculus concepts, including differentiation, integration, theorems, and applications, with examples and solutions for advanced mathematics.

• YouTube
• 4 hours 30 minutes
• Self-Paced
• Free Video

The Bright Side of Mathematics

Mathematik für Ingenieure 3

Umfassende Einführung in mehrdimensionale Integration und Vektoranalysis für Ingenieure, mit Fokus auf praktische Anwendungen und Problemlösungen in der höheren Mathematik.

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