आयुकाएनसीआरए ग्रेजुएट स्कूल
The IUCAANCRA graduate school (conducted jointly with the National Centre for Radio Astrophysics (NCRA), Pune) is meant for the Ph.D. students of IUCAA and NCRA. Coursework is divided into two semesters (four terms) spread over one year. Each term is of roughly seven weeks duration. Students are taught relevant advanced courses in physics and are also introduced to courses in astronomy and astrophysics. The graduate school structure is shown below. The number of teaching hours is shown in parentheses; the dates may vary slightly.
Semester I, Term I: Aug II week to Oct I week.
 Methods of mathematical physics I (21) [Research Methodology course #1  1 credit]
 Introduction to astronomy and astrophysics I (14)
 Electrodynamics and radiative processes I (14)
 Quantum and statistical mechanics I (14)
Semester I, Term II: Oct III week to Dec II week.
 Methods of mathematical physics II (14)
 Introduction to astronomy and astrophysics II (14)
 Electrodynamics and radiative processes II (14)
 Quantum and statistical mechanics II (14)
Semester II, Term I: Jan I week to Feb IV week.
 Astronomical techniques I (14) [Research Methodology course #2  1 credit]
 Galaxies: structure, dynamics and evolution (21)
 Extragalactic astronomy I (21)
 Research Methods and Statistical Techniques (14) [Research Methodology course #3  1 credit]
Semester II, Term II: Mar II week to May I week.
 Astronomical techniques II (14) [Research Methodology course #4  1 credit]
 Interstellar medium (14)
 Extragalactic astronomy II (14)
 Project Work (MayJuly)
 Topical course (for earlier batch of students) (< 21)
In view of the COVID19 pandemic, the Graduate School has been rescheduled for the academic year 202021. Please click here to view the rescheduled timeline.
Syllabus for the IUCAA  NCRA graduate school courses
The courses are designed, emphasizing the aspects which are directly relevant to Astronomy and Astrophysics. It is assumed that unnecessary repetition of material which is already taught at M.Sc. is avoided. While selecting students for IUCAA/NCRA we usually ensure that the student is familiar with physics at the level of M.Sc. and there is no need for routine material to be repeated in the graduate course.
The syllabus provide enough avenues for topics which are of "local interest" to be included in the graduate school. This is necessary so that graduate students coming out of IUCAA/NCRA not only have a comprehensive grasp of the A & A but are also aware of the key research areas in which these two institutions are concentrating at present.

Methods of Mathematical Physics I
[The emphasis will be on practical aspects of using mathematics to solve problems rather than on formal mathematical proofs. Emphasize on Green functions, and Fourier analysis]
SturmLiouville problem and its connection with special functions  Partial differential equations (inhomogeneous and homogeneous wave equations, diffusion equation, Green functions)  WKB and other approximation methods, series expansions, saddlepoint, etc.  Fourier analysis.

Introduction to Astronomy and Astrophysics I
(All these topics will come up for detailed study later; the aim of this course will be to connect physics with astrophysics at an orderofmagnitude level and to introduce conventions and jargons of A & A to a physics student)
Earthsolar system  The Sun as a star  Stellar structure and evolution  The HR diagram  Colours, magnitudes, Spectral classification  White dwarfs, neutron stars, black holes  Binaries  ISM  Structure of Milky Way  Stellar population and galactic structure  Cosmology  Brief description of Galaxy morphology and evolution  Active Galaxies  Clusters of Galaxies.

Electrodynamics and Radiative Processes I
Review of Maxwell's equations, and M.Sc. level electrodynamics  Motion of charged particle in E, B fields  Electromagnetic waves  Polarization and geometrical optics  Radiation of electromagnetic waves  Scattering of radiation (Thomson and Compton)  Bremsstrahlung and synchrotron radiation.

Quantum and Statistical Mechanics I (Quantum Mechanics)
(The Course will emphasize the functionality of QM rather than its mathematical or conceptual structure)
Overview of M.Sc. level quantum mechanics  Solution of Schrodinger equation in 1 d and potential motion  Quasi classical case, WKB  Hydrogen atom and the structure of periodic table  Perturbation theory  Fine structure and hyperfine structure (21 cm)  Quantum theory of radiation  Energy levels of atoms, and molecules and selection rules.

Methods of Mathematical Physics II (General Relativity)
Physical basis for GR  Tensor analysis  Geodesics, connection and curvature  Einstein equations  Schwarzschild metric (orbits and classical tests of GR)  Black holes  Gravitational waves  FLRW spacetime.

Introduction to Astronomy and Astrophysics II (Stellar Physics)
Observational data on stars (types of stars, spectral classification, regions of HR diagram)  Basics of nuclear energy generation  Sources of opacity  Steady state stellar models (homologous models and multilayered configurations)  Stellar evolution (simple analytical estimates and summary of numerical results)  Supernova and SNR  End stages of stellar evolution (white dwarfs, neutron stars and black holes)  Pulsars  Evolution of binary star systems  Star formation (including brown dwarfs)  Star cluster.

Electrodynamics and Radiative Processes II (Astrophysical Processes : Fluid dynamics, Radiative processes and Plasmas)
Basics of fluid dynamics  Hydrostatic equilibrium, with applications to self gravitating bodies  Instabilities  Accretion and winds  Shocks  Turbulence  Basics of plasma physics  MHD  Dynamos  Radiative processes in astrophysical systems : Bremsstrahlung, synchrotron radiation, Compton and inverse Compton processes  Macroscopic description of radiation field  Moments of radiative transfer equations and simple approximate solutions  Ionisation and recombination processes.

Quantum and Statistical Mechanics II (Statistical Mechanics)
Overview of M.Sc. level statistical physics  Basics of statistical mechanics and thermodynamics  Boltzmann, Bose, Fermi distributions  Applications to classical gases, electron degeneracy in white dwarfs  Photons  Bose condensation and superfluidity  Ionisation and pair creation equilibria  Phase transitions  Elementary introduction to stochastic processes.

Astronomical Techniques I (Incoherent Detection)
Time and coordinate measurements  Atmospheric effects (absorption, seeing, ...)  Basics of telescopes  Noise and statistics  Photon detectors  Basics of photometry  Spectroscopy and polarimetry.

Galaxies : Structure, Dynamics and Evolution
Galaxies as self gravitating objects, virial equilibrium  Estimates of collision times  Collisionless Boltzmann equation and some steady state solutions  Globular clusters  stability  Spiral structure, bars and disc dynamics  Ellipticals  Galaxy morphology  Chemical evolution  Galaxy formation and evolution.

Extragalactic Astronomy I (Cosmology)
Friedmann models (geometrical and physical aspects)  Thermal history of the universe from T = 1 GeV to T = 900 K  Linear growth of perturbations  Anisotropies in CMBR and comparison with observations  Nonlinear evolution of perturbations (Zeldovich approximation, spherical top hat, basic idea of simulation results)  Segregation of baryons and dark matter  Very early universe and inflation  Clusters and superclusters  Overall structure of IGM  GunnPeterson effect  Quasar absorption systems  High redshift galaxies.

Astronomical Techniques II (Coherent Detection)
Partial coherence  Aperture synthesis and image reconstruction  High angular resolution techniques and astrometry  Databases in astronomy.

Interstellar Medium
Extinction and reddening of star light, dust  21 cm, galaxy rotation curves, HI distribution  Ionised gas, pulsar DM  HII regions  Cooling and heating  Shocks  Supernovae remnants  Phases of the ISM  Magnetic field and Faraday rotation  Cosmic rays  Molecular clouds and star formation.

Extragalactic Astronomy II (Radio Galaxies and Quasars)
Phenomenology of AGNs (Seyferts, Quasars, Radio Galaxies, LINERS, BL Lacs) with a survey of continuum, emission and absorption features of spectra  Black hole and accretion disc models for AGNs  Emission line regions (BLR, NLR)  Physics of jets and hot spots.

Project Work
This lasts for two months, and the student is expected to submit a report and give a seminar.

Topical Course (Not for first year students)
Topical courses will be given by IUCAA/NCRA members and visiting faculty which graduate students can take for credit. Each of the topical courses will credit as half course and will involve a maximum of 12 lectures on a focused topic. Students can take a project or a reading course with a faculty member other than their guide, to count as a Topical Course. Students will be graded pass/fail by the lecturer. Thesis supervisors will ensure that their students pass at least one of these topical courses before they submit the thesis.
Grading System :
Marks out of 100
C
B minus
B
B plus
A minus
A
A plus
 Any Research Scholar getting less than 41 % marks (grade C) fails the course.
 Any Research Scholar can get only two Cs (less than 41 % marks) overall.
 If any Research Scholar gets three or more Cs overall, then he/she will be asked to leave the Graduate School.
 At the end of the Graduate School, the over all performance should be B+ (65%) or above.
 Any Research Scholar satisfactorily fulfils all the above norms is said to clear the Graduate School successfully.
 All Research Scholars must clear all Graduate School courses before they submit their thesis to the Jawaharlal Nehru University.
 All Research Scholars must pass/clear at least one Topical Course before they submit their thesis to the Jawaharlal Nehru University.
 All Indian Research Scholars should pass the CSIR/UGC NET JRF (or at least Lecturership (LS)) within two years of joining IUCAA.