Courses Taught
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Recent Courses

  1. Statistical (Applied) Signal Processing Click here to go to course website.
  2. Cosmology Click here to go to course website. 
  3. Epoch of Reionization Physics Course Click here to go to course website.
Old Courses
  1. Astrophysical Hydrodynamic (click here to download Lectures PDF) The course's purpose is to cover the basic physics of fluids especially the part that is relevant for astrophysical systems. The topics that are covered in the course are: 
    1. Ideal fluids (the fluid approx., the continuity & Euler equations, isentropic fluids, vorticity & its equation, Bernoulli's equation, Kelvin's circulation theorem, hydrostatic fluids, compressible and incompressible fluids. The MHD approximation.
    2. Simple astrophysical applications (stellar models and oscillations)
    3. Sound waves (wave equation, sound speed, Mach number)
    4. Hydrodynamical Instabilities: Kelvin-Helmholtz instability, Rayleigh Taylor Ins., Thermal Instability, Gravitational Instability, ...
    5. Introduction to Supersonic Flow: Shock tube, Rankine-Hugoniot jump conditions, Rayleigh's line, Hugoniot curve, density, and pressure ratios across a shock, shock speed.
    6. Viscous fluids: the Navier-Stokes equation, viscosity coefficients, energy dissipation in incompressible fluids, examples of viscous flow, Reynolds number, similarity law.
    7. Turbulence: similarity solutions, weak fully developed turbulence, Kolmogorov spectrum.
      ​I will not use a specific book in the course but there are a number of books that could be used to help with the course.
      1. Principles of Astrophysical Fluid Dynamics Cambridge University Press Authors: C. Clarke and B. Carswell
      2. Astrophysical Flows Cambridge University Press Authors: J. Pringle and A. King
      3. Fluid Mechanics (2nd edition) Volume 6 of Course of Theoretical Physics Authors: L.D. Landau and E.M. Lifshitz ​
Even Older Courses (For description please Click Here )
  1. Astrophysics A (Radiative Processes) 
  2. Astrophysics B (Quantum Physics of atoms and molecules & Hydrodynamics) 
  3. Statistical Methods in Astrophysics