Mathematical Physics Courses and Certifications

Renzo Ricca

Quantum Vortex Knots and Links under Zero Helicity Condition

Explore quantum vortex knots and links under zero helicity condition in this advanced mathematics lecture by Renzo Ricca.

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

NPTEL-NOC IITM

Laguerre Polynomials - Rodrigues Formula and Properties

Explore Laguerre polynomials, including Rodrigues formula and key properties, to enhance your understanding of orthogonal polynomials in mathematical physics.

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

Dot Physics

Math Methods Physics - Vector Derivatives in Polar Coordinates

Master vector derivatives in polar coordinates through r-hat and theta-hat unit vectors, exploring velocity and acceleration transformations from Cartesian systems.

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

Insights into Mathematics

The Underlying Arithmetic of Physics - Matrices or Maxels?

Explore how matrices and maxels could serve as the fundamental computational engine of physics, moving beyond standard arithmetic to non-commutative realms for deeper insights.

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

NPTEL-NOC IITM

Tensor Analysis - Inverse of the Metric and Lorentz Transformations - III

Explore inverse metrics, index raising operations, and infinitesimal Lorentz transformations in advanced tensor analysis with practical component-based approaches.

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

NPTEL-NOC IITM

Newton's Gravitation - Proof of Uniqueness Theorem for Poisson's Equation - Tutorial 1

Discover the mathematical proof of the uniqueness theorem for Poisson's equation in gravitational physics through detailed problem-solving techniques.

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

NPTEL-NOC IITM

Newton's Gravitation - Poisson Equation Solution in a Bounded Region - Tutorial 2

Explore Poisson equation solutions in bounded regions through Newton's gravitational framework with practical problem-solving techniques.

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

Friedrich–Alexander University Erlangen–Nürnberg

Geometrical Anatomy of Theoretical Physics

A rigorous geometric framework for theoretical physics, developing manifolds, bundles, Lie groups, connections, curvature, and applications to quantum mechanics.

• YouTube
• 1 day 23 hours
• Self-Paced
• Free Video

Tobias Osborne

Theoretische Physik A - Mathematische Methoden der Physik

Master die mathematischen Grundlagen der theoretischen Physik durch umfassende Vorlesungen von Tobias Osborne mit praktischen Anwendungen und Methoden.

• YouTube
• 22 hours 40 minutes
• Self-Paced
• Free Video

General Relativity I: Theoretical Foundations

10 ratings at Coursera

Build the theoretical foundations of general relativity: the equivalence principle, general covariance and tensors, spacetime curvature, and Einstein's field equations.

• Coursera
• 4 weeks, 4 hours a week
• Self-Paced
• Paid Course

Physics with Elliot

Physics Mini Lessons - Intermediate Level Topics in Quantum Mechanics, Relativity, and Classical Physics

Explore advanced physics concepts through bite-sized lessons covering quantum mechanics, relativity, field theory, and classical mechanics fundamentals.

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

Physics with Elliot

Hamiltonian Mechanics Sequence

Discover the fundamentals of Hamiltonian mechanics through symmetries, conservation laws, and the principle of least action in this comprehensive physics sequence.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Physics with Elliot

Lagrangian Mechanics Sequence

Discover the fundamentals of Lagrangian mechanics through principles of least action, symmetries, conservation laws, and relativistic applications in this comprehensive sequence.

• YouTube
• 2 hours 12 minutes
• Self-Paced
• Free Video

Mathematics of Waves: Visualized with Neural Networks

1 rating

All around us, information is carried by waves of many kinds, like acoustic, electromagnetic, gravitational or probability waves. Enjoy this unifying view of all wave phenomena using neural networks t

• edX
• 2 weeks, 5-6 hours a week
• Self-Paced
• Free Online Course

The Royal Institution

The Search for a Theory of Everything – with Yang-Hui He

A historical and mathematical journey through the search for a unified theory of everything, culminating in string theory and modern geometry.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video