Laplace's Equation Courses and Certifications

Steve Brunton

Numerical Solution to Laplace's Equation in Matlab - Intro to Fourier Series

Explore numerical solutions to Laplace's Equation using MATLAB and get introduced to Fourier Series in this engineering mathematics lecture, with practical code examples and comprehensive notes provided.

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

Steve Brunton

Analytic Solution to Laplace's Equation in 2D - On Rectangle

Explore the analytic solution to Laplace's equation in 2D on a rectangle, enhancing your understanding of engineering mathematics and partial differential equations.

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

NPTEL-NOC IITM

The Laplace Equation: Dirichlet and Neumann Boundary Conditions - Lecture 67

Explore Dirichlet and Neumann boundary conditions for the Laplace Equation, enhancing understanding of partial differential equations and their applications.

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

NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Solution - Lecture 71

Solve the Laplace equation in spherical coordinates, exploring methods and techniques for finding solutions to this fundamental partial differential equation.

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

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 Video

NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Illustrative Examples - Lecture 72

Explore illustrative examples of the Laplace Equation in spherical coordinates, enhancing understanding of this fundamental concept in mathematical physics.

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

Steve Brunton

PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation

Explore the powerful Separation of Variables technique for solving PDEs, focusing on Laplace's equation in 2D for steady-state heat distribution, with applications in physics and engineering.

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

Steve Brunton

Canonical Linear PDEs- Wave Equation, Heat Equation, and Laplace's Equation

Explore fundamental linear PDEs: wave, heat, and Laplace's equations. Gain insights into their properties, applications, and mathematical foundations in engineering and physics.

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

Steve Brunton

Heat Equation- Derivation and Equilibrium Solution in 1D - Laplace's Equation

Explore the derivation and equilibrium solution of the heat equation in 1D, including Laplace's equation, boundary conditions, and practical applications in engineering mathematics.

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

Steve Brunton

Potential Flow and Laplace's Equation

Explore potential flow and Laplace's equation in engineering mathematics, covering vector fields, heat conduction, and practical applications in fluid dynamics and thermodynamics.

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

Steve Brunton

Complex Analysis - Analytic Functions Solve Laplace's Equation

Explore how analytic complex functions' real and imaginary parts solve Laplace's equation, introducing harmonic functions in this in-depth mathematical analysis.

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

Computational Science and Engineering I

Comprehensive review of advanced mathematical methods for engineering, covering linear algebra, differential equations, Fourier analysis, and numerical techniques with applications to various engineering problems.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

NPTEL;  IIT Kanpur

Introduction to Electromagnetism

3 reviews

This course introduces students to handling electromagnetic theory using vector calculus. This enables students to handle problems that are more complicated than they are used to from their school days.

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

IIT Kanpur;  AICTE

Introduction to Electromagnetic Theory in Hindi

वेक्टर कैलकुलस का उपयोग करके विद्युत चुंबकीय सिद्धांत की मूल अवधारणाओं का परिचय। गॉस के नियम, मैक्सवेल के समीकरण और विद्युत चुंबकीय तरंगों पर विशेष ध्यान।

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

Steve Brunton

Engineering Math - Crash Course in Complex Analysis

Master complex analysis fundamentals from arithmetic to residues, exploring Euler's formula, analytic functions, and Cauchy integrals for differential equations modeling.

• YouTube
• 6 hours 28 minutes
• On-Demand
• Free Video