Lagrangian Mechanics Courses and Certifications

NPTEL;  IIT Hyderabad

Introduction to Classical Mechanics

This introductory course on Classical Mechanics covers the following topics: Euler Lagrange Equations, Small Oscillations, Central Force Problem, Rigid Body Motion.

• YouTube
• 1 day 6 hours
• On-Demand
• Free Video

Classical Mechanics-I

Introduces Lagrangian and Hamiltonian formulations, small oscillations, and central force problems in Classical Mechanics. Covers key concepts for advanced physics courses and national exams.

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

IIT Kanpur;  NPTEL

Classical Motion of a Single Particle

Comprehensive exploration of classical mechanics, covering particle dynamics, conservation laws, oscillations, and advanced topics like Lagrangian mechanics and nonlinear dynamics.

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

IIT Guwahati;  NPTEL

Dynamics of Classical and Quantum Fields

Bridging the gap between M.Sc. and PhD-level theoretical physics, covering advanced topics in classical and quantum fields for aspiring researchers and early-stage PhD scholars.

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

IISc Bangalore;  NPTEL

Dynamics and Control of Mechanical Systems

Explore 3D rigid body dynamics, multi-body systems, and control theory. Learn modeling, analysis, and controller design using state-space methods, root locus, and Bode plots. Gain practical skills with MATLAB and Simscape.

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

Analytical Dynamics - Lagrangian and 3D Rigid Body Dynamics

Comprehensive exploration of analytical dynamics, covering Lagrangian mechanics and 3D rigid body motion. Extends knowledge beyond undergraduate level, focusing on deriving equations of motion and analyzing system behavior.

• YouTube
• 1 day 10 hours
• On-Demand
• Free Video

Physics One

Explore advanced physics concepts, from equations of motion to Lagrangian mechanics, using mathematical language to develop authentic physicist thinking skills.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Let's Code Physics

Marble in a Bowl - Fun with Lagrangians - Part 1

Explore 3-D spherical coordinates through a marble rolling in a bowl. Learn Lagrangian mechanics with interactive GlowScript and Jupyter examples in this engaging physics tutorial.

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

Let's Code Physics

Spring Pendulum Simulation Using Jupyter - Fun With Lagrangians

Explore spring pendulum dynamics using Jupyter, focusing on energy conservation and competing forces. Includes GlowScript and Jupyter implementations for rich phase space visualization.

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

Let's Code Physics

Spring Pendulum Simulation Using GlowScript and Lagrangian Mechanics

Explore spring pendulum dynamics using GlowScript, examining energy conservation and competing forces through rich phase space views and Lagrangian mechanics.

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

Let's Code Physics

Pendulum Analysis Using Tracker and Lagrangian Mechanics

Explore pendulum motion through experimental analysis and Lagrangian mechanics, uncovering surprising insights into classical physics principles.

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

Ross Dynamics Lab

Phase Portraits from Potential Energy - Bifurcations - Constraint Forces from Lagrange Multipliers

Explore phase portraits, bifurcations, and constraint forces in dynamical systems. Learn graphical methods, analyze system behavior changes, and understand Lagrangian mechanics with practical applications.

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

Ross Dynamics Lab

Lagrange’s Equations with Conservative and Non-Conservative Forces - Phase Space Introduction

Explore Lagrange's equations for conservative and non-conservative forces, rigid body systems, and phase space analysis. Learn to solve and classify motions using advanced analytical dynamics techniques.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Lagrange's Equations Introduction - Generalized Coordinates, Constraints, Degrees of Freedom

Comprehensive introduction to Lagrangian mechanics, covering generalized coordinates, constraints, and degrees of freedom. Explores holonomic and nonholonomic constraints, with examples including the intriguing shopping cart instability.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

World Science Festival

Noether's Amazing Theorem - Symmetry and Conservation

Explore Emmy Noether's groundbreaking theorem linking symmetry and conservation in physics, explained by Brian Greene through accessible mathematics and engaging storytelling.

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