Tutorials on Fitting techniques (linear and non-linear, fits to data with experimental errors, evaluating goodness of fit, etc) and error analysis , Handling of data and getting familiar with data analysis packages like IRAF, AIPS and CASA. Th is includes an introduction, beginners tutorials and exercises in these softwares as well as and X-ray data analysis

Overview of numerical computation - Simple problems: data sorting, root finding etc. - Numerical solutions of algebraic equations - Numerical integration, interpolation/extrapolation - Numerical differentiation - Ordinary differential equations - Partial differential equations - Statistics, Least-squares fitting - Data crunching, dealing large data set - Fourier transform - Advanced Applications in Astrophysics: N-Body Methods, Hydrodynamics - Monte Carlo Methods

Concepts of Radiative Transfer – special relativity – Maxwell’s equations – Wave equation – retarded potentials – radiation field – Poynting vector – radiation from accelerated charge – bremsstrahlung – Thomson and Compton scattering – synchrotron radiation – thermal and non-thermal distribution of radiating particles – non-thermal synchrotron radiation – self-absorption – synchrotron and Compton cooling – Inverse Compton catastrophe and brightness temperature limit – propagation effects: dispersion, faraday rotation, depolarization – Atomic and molecular spectra – fine structure and hyperf

Telescopes and Detectors – optical, infrared, radio, x-rays, gamma-rays, neutrinos and cosmic rays; Gravitational radiation; Detection of dark matter and Dark Energy Astronomy from Space;Imaging – focal plane imagers, PSF and deconvolution, interferometry Photometry, Spectroscopy, Polarimetry, Astrometry; Solar telescopes; Surveys, Astronomical databases, Virtual Observatory

Instruments and Measurement Systems: Instrument Response, Measurement Quality, Signal to Noise ratio, Measurement Artifacts, Instrument Response Time, Instrumental Time Resolution, Detection Limit and Sensivity, Sources of Uncertainties, Calibration procedures. Basic statistics, concept of error and uncertainty analysis, Error analysis, probability distribution functions, regression analysis, least square fit, goodness of fit, uncertainties in the fit, propagation of error for a simple linear system.

Introduction to hydrometeorology, hydrologic and bio geochemical cycles, Water vapour in atmosphere, Vertical gradients in atmosphere, Atmospheric Boundary Layer, Surface Energy balances, Sensible heat flux, Latent heat flux, heat budgets, Plant canopy interactions with the atmosphere. Evaporation, evapotranspiration and their measurements, empirical equations, potential evapotranspiration, Global carbon cycling, Leaf energy fluxes, vegetation dynamics, Canopy processes and Canopy resistance.

Unit I:

Unit 1: Structure and variability of Earth's ionosphere

Introduction to neutral upper atmosphere and its interaction with solar radiation: Thermal structure of the atmosphere, Heat balance and temperature profile of thermosphere, Dissociation and diffusive separation and thermospheric composition, Exosphere, Solar radiation at the top of the atmosphere, Attenuation of solar radiation in the atmosphere, thermal effect of radiation, photochemical effects of radiation, Airglow

Overview of Polar Geography and Climate; History of Indian Antarctic programme; Physical characteristics; weather and climate, ice coring in Antarctica for Paleo-environment studies, logistics of Antarctic Science, opportunities, Antarctic governance and protection of Antarctic environment, International linkages.

Introduction: definitions and background, variables, wind and flow, turbulent transports; Taylor’s hypothesis and observing techniques, boundary layer depth and structure Mathematical and conceptual tools: Turbulence and its spectrum; spectral gap; mean and turbulent parts; basic statistical methods; rules of averaging; turbulent kinetic energy; kinematic flux, eddy flux; stresses. Governing equations for turbulent flow: methodology, basic equations, simplifications and approximations, equations for mean variables in a turbulent flow.