Classical Lagrangian Mechanics with Jacob Linder

Course Description

A senior-level undergraduate course on classical mechanics by Jacob Linder at the Norwegian University of Science and Technology.

Topics include: Constraints and generalized coordinates. Virtual displacements, Lagange's equations. Variational calculus, Hamilton's principle. Lagrangian for particle in electromagnetic field. Constants of motion, symmetry properties. Virial theorem. Central forces, scattering. Elements of the kinematics and dynamics of rigid bodies. Special relativity. Normal coordinates. Hamilton's equations. Canonical transformations.

Classical Lagrangian Mechanics with Jacob Linder
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Video Lectures & Study Materials

Visit the official course website for more study materials:

# Lecture Play Lecture
1 Introduction & Fundamental Principles Play Video
2 Fundamental Principles, Generalized Coordinates Play Video
3 D'Alembert's Principle and Lagrange's Equation Play Video
4 D'Alembert's Principle, Part 2 Play Video
5 Hamilton's Principles, Part 1 Play Video
6 Hamilton's Principles, Part 2 Play Video
7 Lagrange Multiplier Method Play Video
8 Lagrange Multiplier Method, Part 2 Play Video
9 Conservation Laws and Symmetries Play Video
10 Conservation Laws and Symmetries, Part 2 Play Video
11 Hamiltonian Formalism Play Video
12 Hamiltonian Formalism, Part 2 Play Video
13 Central Forces Play Video
14 Central Forces, Part 2 Play Video
15 Particle Orbits and Virial Theorem Play Video
16 Particle Orbits and Virial Theorem, Part 2 Play Video
17 The Kepler Problem Play Video
18 The Kepler Problem, Part 2 Play Video
19 Scattering Cross Section Play Video
20 Scattering Cross Section, Part 2 Play Video
21 Rigid Body Rotation Play Video
22 Rigid Body Rotation, Part 2 Play Video
23 Time Change of Vectors in Rotating Systems Play Video
24 Time Change of Vectors in Rotating Systems, Part 2 Play Video
25 Rigid Body Motion Play Video
26 Rigid Body Motion, Part 2 Play Video
27 Gyroscope Effect and Spinning Top Play Video
28 Gyroscope Effect and Spinning Top, Part 2 Play Video
29 Small-scale Oscillations Play Video
30 Small-scale Oscillations, Part 2 Play Video
31 Normal Coordinates and Vibrations Play Video
32 Normal Coordinates and Vibrations, Part 2 Play Video
33 Special Theory of Relativity Play Video
34 Special Theory of Relativity, Part 2 Play Video
35 Lorentz Transformations Play Video
36 Lorentz Transformations, Part 2 Play Video
37 Time Dilation and Length Contraction Play Video
38 Time Dilation and Length Contraction, Part 2 Play Video
39 Relativistic Kinematics Play Video
40 Relativistic Kinematics, Part 2 Play Video
41 Threshold Energy Play Video
42 Threshold Energy, Part 2 Play Video
43 EM field Tensor and Canonical Transformations Play Video
44 EM field Tensor and Canonical Transformations, Part 2 Play Video
45 Canonical Transformations, Part 3 Play Video
46 Canonical Transformations, Part 4 Play Video
47 Poisson Brackets Play Video
48 Poisson Brackets, Part 2 Play Video
49 Hamilton-Jacobi Theory Play Video
50 Hamilton-Jacobi Theory, Part 2 Play Video
51 Summary of the Course Play Video


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