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1. Lecture 1: Mass, Length and Time
2. Lecture 2: Classical Dynamics
3. Lecture 3: Harmonic Oscillator
4. Lecture 4: Harmonic Oscillator
5. Lecture 5: Dimensional dynamical systems
6. Lecture 6: Dimensional dynamical systems
7. Lecture 7: The Principles of the Equations of Motion
8. Lecture 8: Maxwell's Equations
9. Lecture 9: Lagrangian for a charged particle in a EM field
10. Lecture 10: Lagrangian and Hamiltonian Dynamics
11. Lecture 11: Hamiltonian Systems
12. Lecture 12: Integrability of Hamiltonian Systems
13. Lecture 13: Emmy Noether, Symmetry, Invariance and Conservation Laws
14. Lecture 14: Isotropic Oscillators, The Kepler Problem, Introduction to Statistical Physics
15. Lecture 15: Chaotic Dynamics
16. Lecture 16: Exponential Divergencies, Lyapunov Exponent, Bernoulli Map and Frobenius-Perron Equation
17. Lecture 17: Lyapunov Exponent, Baker's Map, Arnold's cat map, Gauss continued fraction map
18. Lecture 18: Questions & Answers
19. Lecture 19: Questions & Answers
20. Lecture 20: Statistical Mechanics: Isolated Systems, Fundamental Postulate of Equilibrium, Microcanonical Ensemble
21. Lecture 21: Microcanonical Ensemble: Stirling's Formula, Poisson Distribution
22. Lecture 22: Microstates of particles, Entropy, Density of States, Thermodynamics
23. Lecture 23: Euler Relation, Enthalpy, Helmholtz / Gibbs Free Energies, Grand Potential, Field / State Variables, Gas Law
24. Lecture 24: Density of States, Boltzmann/Gibbs Factor
25. Lecture 25: Thermodynamics of Ideal Gases and its Statistic Mechanics
26. Lecture 26: Probability and Maxwellian Distributions, Moment generating function, Excess Kurtosis, Levy distributions
27. Lecture 27: Maxwellian distributions, Gunbel, Weibull & Frechet distribution, Phase Diagrams
28. Lecture 28: Phase Diagrams, Model of Paramagnetism, dipole moment, Weiss molecular field theory
29. Lecture 29: Ferromagnetism, spontaneous magnetization, Landau Theory
30. Lecture 30: Landau Theory and critical exponents, Thermodynamic relations, Continuum limit of random walk
31. Lecture 31: Questions & Answers
32. Lecture 32: Lie Groups, homomorphism, kernel
33. Lecture 33: Groups, compact and non-compact groups, Universal covering group
34. Lecture 34: Group of proper rotation in 3D, Parametrization by Euler angles, unitary matrices, Noether's theorem
35. Symmetry, Invariance and Conservation laws (Noether's theorem), Principles of Relativity
36. Lecture 36: Lorentz invariance, Riemannian manifold, metric tensors, d'Alembert operator
37. Lecture 37: EM Field tensor, dual tensor, Levi-Civita symbol in 4D, Lorentz transformations, time/space-like vectors
38. Lecture 38: Lorentz transformations in EM fields

Lecture Series on Classical Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras. Among the topics in the lectures are:

- Mass, Length and Time
- Classical Dynamics
- Harmonic Oscillator
- Harmonic Oscillator
- Dimensional dynamical systems
- Dimensional dynamical systems
- The Principles of the Equations of Motion
- Maxwell's Equations
- Lagrangian for a charged particle in a EM field
- Lagrangian and Hamiltonian Dynamics
- Hamiltonian Systems
- Integrability of Hamiltonian Systems
- Emmy Noether, Symmetry, Invariance and Conservation Laws
- 2D Isotropic Oscillators, The Kepler Problem, Introduction to Statistical Physics
- Integrable Systems: Periodic, Quasiperiodic, Ergotic, Mixing Motion, Exponential Instability, global - exponential instability
- Lyapunov Exponent
- Intermitency
- E.N. Lorenz
- Exponential Divergencies, Lyapunov Exponent, Bernoulli Map, Frobenius-Perron Equation
- Lyapunov Exponent, Baker's Map, Arnold's cat map, Gauss continued fraction map
- Statistical Mechanics: Isolated Systems, Fundamental Postulate of Equilibrium, Microcanonical Ensemble
- Binomial Distribution
- Relative Fluctuation
- Thermodynamics of Ideal Gases and its Statistic Mechanics
- Boltzmann's Formula
- Probability and Maxwellian Distributions, Moment generating function, Excess Kurtosis, Lévy alpha-stable distributions
- J.A. Shabat and J.D. Tamarkin, "The problem of moments"
- Maxwellian distributions, Gunbel, Weibull & Frechet distribution, Phase Diagrams
- Phase Diagrams, Model of Paramagnetism, dipole moment, Weiss molecular field theory
- Ferromagnetism, spontaneous magnetization, Landau Theory
- Landau Theory and critical exponents, Thermodynamic relations, Continuum limit of random walk
- Lie Groups, homomorphism, kernel
- Group of proper rotation in 3D, Parametrization by Euler angles, unitary matrices, Noether's theorem
- Symmetry, Invariance and Conservation laws (Noether's theorem), Principles of Relativity
- Lorentz invariance, Riemannian manifold, metric tensors, d'Alembertian operator
- EM Field tensor, dual tensor, Levi-Civita symbol in 4D, Lorentz transformations, time-like and space-like vectors
- Lorentz transformations in EM fields

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