1 Introduction to Classical Mechanics - Course Introduction
2 Classical Mechanics: L1: Introduction. Symmetries of space and time.
3 Cassical Mechanics: L2: Generalized coordinates and degrees of freedom
4 Classical Mechanics: L3: Virtual Work
5 Classical Mechanics: L4: Virtual Work (rigid body)
6 Classical Mechanics: L5: d'Alembert Principle
7 Classical Mechanics: L6: Euler Lagrange Equation for a holonomic system
8 Classical Mechanics: L7: Euler Lagrange Equations. Examples
9 Classical Mechanics: L8: Euler Lagrange Equations. Examples continued
10 Classical Mechanics: L9: Properties of Lagrangian
11 Classical Mechanics: L10: Kinetic term in generalized coordinates
12 Classical Mechanics: L11: Cyclic coordinates
13 Classical Mechanics: L12: Conservation laws -Conservation of Energy
14 Classical Mechanics: L13: Energy Function, Jacobi's Integral
15 Classical Mechanics: L14: Momemtum conservation
16 Classical Mechanics: L15: Matrices and all that
17 Classical Mechanics: L16: Matrices, Forms, and all that
18 Classical Mechanics: L17: Principal axis transformation
19 Classical Mechanics: L18: Small Oscilaltions
20 Classical Mechanics: L19: Oscillations, Normal Coordinates
21 Classical Mechanics: L20: Oscillations, Triatomic molecule
22 Classical Mechanics: L21: Triatomic molecule normal coordinates
23 Classical Mechanics: L22: Coupled pendulums, normal modes
24 Classical Mechanics: L23: Coupled pendulums, Beats
25 Classical Mechanics: L24: Oscillations, General solution
26 Classical Mechanics: L25: Forced oscillations
27 Classical Mechanics: L26: Damped oscillations
28 Classical Mechanics: L27: Forced Damped oscillations
29 Classical Mechanics: L28: one dimensional systems
30 Classical Mechanics: L29: Two-body problem
31 Classical Mechanics: L30: Two-body problem, Kepler's second law
32 Classical Mecahnics: L31: Two-body problem, Kepler problem
33 "Classical Mecahnics: L31: Two-body problem, Conic Sections in Polar Coordinates"
34 Classical Mechanics: Two-body problem, Ellipse in polar coordinates
35 Orbits in Kepler Problem
36 Apsidal distances, eccentricity of orbits
37 Kepler's Third law; Laplace-Runge-Lenz vector
38 Rigid Body, degrees of freedom
39 Rigid Body, Transfromation matrix
40 Rigid Body, Euler Angles
41 Parameterization using Euler Angles
42 Rigid Body, Euler's Theorem
43 General motion of a rigid body
44 Moment of Inertial Tensor
45 Principal Moments
46 Langrangian of a rigid body
47 Motion of a free symmetric top
48 Angular velocity using Euler angles
49 Lagrangian of a heavy symmetric top
50 Classical Mechanics: First integrals of a heavy symmetric top
51 Classical Mechanics: Nutation and Precission of a heavy symmetric top
52 Sleeping Top
53 Rotating Frames. Euler Equations
54 Calculus of Variations: Functionals
55 Method of Lagrange Multipliers
56 Calculus of Variations: Condition for extremum
57 Calculus of Variations: Several variables
58 Cartesian Tensors
59 Hamiltonian Mechanics: Hamilton's equations of motion
60 Hamiltonian Mechanics: Liouville's theorem
61 Hamiltonian Mechanics: Poisson Bracket
62 Hamiltonian Mechanics: Canonical Coordinates
63 Hamiltonian Mechanics: Generating Function of Canonical Transformations
64 Hamiltonian Mechanics: Generating functions of the 4 kinds
65 Examples of Generating Functions
66 Harmonic Oscillator (Canonical Transformations)
67 Invariance of Poisson Brackets
68 Normal modes of triatomic molecule using Mathematica