Syllabus covered
Theoretical aspects of the Relativistic Cosmology
Course 1: Tensor analysis in Riemannian space, Effects of gravitation, Riemann-Christoffel curvature tensor, Ricci Tensor, Curvature Scalar
Course 2: Einstein Field Equations, Experimental tests of GTR, Schwarzschild solution, gravitational lensing, Energy, momentum and angular momentum in gravitation
Course 3: Cosmological principle, Robertson-Walker metric, Redshifts, Energy density components of the Universe
Course 4: Big-Bang Hypothesis, CMB, Large-Scale Structure
Data analysis for Astronomy using Python
Course 1: Introduction to Python: Installation, Python Environment and Understanding Packages - NumPy, Pandas, SciPy, Astropy
Course 2: Data Wrangling and Plotting, Statistics for Astronomy, Markov Chain Monte Carlo method, Fitting and Modeling 1-d and 2-d data.
Course 3: VO and Archival Astronomy Data, Markov Chain Monte Carlo method
Course 4: Science Cases: Exoplanets, Stars (Gaia), Galaxy Morphology, Cosmology (redshift and age of universe)