Laplace's Equation Courses and Certifications

NPTEL;  IIT Bombay

Electromagnetic Theory

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 Online Course

IISc Bangalore;  NPTEL

First Course on Partial Differential Equations - II

Explore advanced topics in partial differential equations, including Hamilton-Jacobi equations, conservation laws, and multi-dimensional heat and wave equations. Ideal for mathematics and engineering students.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

Partial Differential Equations

Explore advanced mathematical concepts including Laplace equations, convolution, polar coordinates, and more. Master techniques for solving complex differential equations and their applications.

• YouTube
• 10 hours
• On-Demand
• Free Online Course

Partial Differential Equations

Explore partial differential equations through various methods, including characteristic, coordinate, and transform approaches. Learn to solve wave and heat equations using advanced techniques.

• YouTube
• 8 hours
• On-Demand
• Free Online Course

Introduction to CFD

Explore computational fluid dynamics fundamentals, from numerical methods to advanced techniques like multigrid and parallel computing, with practical demonstrations and applications.

• YouTube
• 1 day 8 hours
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

The Regularity Problem for the Laplace Equation in Rough Domains

Explores recent advances in Boundary Value Problems for the Laplace operator in rough domains, focusing on the equivalence between Dirichlet and regularity problem solvability.

• YouTube
• 42 minutes
• On-Demand
• Free Online Course

Steve Brunton

Heat Equation in 2D and 3D - 2D Laplace Equation on Rectangle

Explore multidimensional heat equations and the 2D Laplace equation on rectangles, advancing your understanding of engineering mathematics and partial differential equations.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

IIT Kanpur;  NPTEL

Advanced Partial Differential Equations

Explore advanced PDE concepts, including first-order equations, Laplace, Heat, and Wave equations. Learn qualitative methods for analyzing physical phenomena without explicit solutions.

• Swayam
• 12 weeks
• Finished
• Free Online Course

IISc Bangalore;  NPTEL

First Course on Partial Differential Equations - I

Explore fundamental concepts of partial differential equations, including first-order equations, Laplace and Poisson equations, and 1D heat and wave equations. Ideal for mathematics, science, and engineering students.

• Swayam
• 8 weeks
• Finished
• Free Online Course

CEC;  Sacred Heart Womens College

PDE AND SYSTEMS OF ODE

Comprehensive exploration of partial differential equations and systems of ordinary differential equations, covering classification, solution methods, and applications to physical phenomena.

• Swayam
• 12 weeks
• Finished
• Free Online Course