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