Wave Equation Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Global Existence for a System of Wave Equations on a Product Space - IPAM at UCLA

Explore global existence for wave equations on product spaces, a model for Einstein equations with compact dimensions in Kaluza-Klein theory. Presented by Cécile Huneau at IPAM's gravitation workshop.

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

Institute for Pure & Applied Mathematics (IPAM)

A Tale of Two Tails - IPAM at UCLA

Explore wave equations in asymptotically flat spacetimes, focusing on late-time tails and their implications for the strong cosmic censorship conjecture in odd spatial dimensions.

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

Isaac Newton Institute for Mathematical Sciences

When Data Driven Reduced Order Modeling Meets Full Waveform Inversion - Rothschild Lecture

Explore innovative approaches to velocity estimation in wave equation inverse problems, focusing on data-driven reduced order modeling and its application to full waveform inversion.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Scattering for Wave Equations with Sources and Slowly Decaying Data

Explore scattering solutions for wave equations with polynomially decaying sources, analyzing radiation fields and asymptotic behavior near the lightcone in nonlinear wave contexts.

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

Mathematical Methods for Engineers II

Explore advanced numerical methods for engineers, covering differential equations, network flows, and optimization. Gain practical skills in solving complex mathematical problems.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Maxwell's Equations and Electromagnetic Waves - Lecture 15

Explore electromagnetic waves, their energy, and connection to relativity. Understand Maxwell's equations' consistency with special relativity and how magnetism can be deduced from relativistic principles.

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

Simple Harmonic Motion and Introduction to Waves - Lecture 18

Explore harmonic motion and wave behavior through problem-solving and derivations. Learn about oscillations, driving forces, resonance, and different types of waves in this physics lecture.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Fundamentals of Physics - Waves and Wave Properties - Lecture 19

Explore wave properties, superposition, and interference in physics. Learn about frequency, energy, Doppler effect, and applications to musical instruments in this comprehensive lecture.

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

Introduction to Quantum Transport

This course introduces the non-equilibrium Green’s function (NEGF) method widely used to describe quantum effects in nanoscale devices, along with its applications to spintronic devices.

• edX
• 5 weeks, 8-9 hours a week
• On-Demand
• Free Online Course (Audit)

IIT Kanpur;  AICTE

Introductory Quantum Mechanics in Hindi

Explore quantum mechanics fundamentals, from historical developments to modern applications. Learn key concepts, mathematical formulations, and solve problems in various quantum systems.

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

IIT Kanpur;  NPTEL

Fundamentals of Acoustics

Comprehensive exploration of acoustics principles, from wave equations to sound analysis, suitable for engineering students and industry professionals interested in NVH and experimental acoustics.

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

Steve Brunton

Solving the Wave Equation with Separation of Variables and Guitar String Physics

Explore wave equation solutions using separation of variables, with applications to guitar string physics. Gain insights into optics, acoustics, and fundamental physics concepts.

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

Steve Brunton

Deriving the Wave Equation

Comprehensive derivation of the Wave Equation, exploring its applications in physics and engineering, with examples from guitar strings to illustrate key concepts.

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

Mathematics III

Explore advanced mathematical concepts including ODEs, improper integrals, series solutions, Bessel functions, Laplace transformations, and partial differential equations.

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