BINC Mathematics, Statistics, Physics and Chemistry Syllabus – Advanced
Number integration. Interpolation and approximate methods
Vector – addition, subtraction, dot, cross, scalar triple product, divergence and curl.
System of linear equations. Matrix inverse, eigenvalue, eigenvector, principalm component analysis
Mathematical modeling and simulation
Methods of least squares, chi-square test, systematic and random sampling, accidental and systematic errors, correlation and regression analysis. Poisson and extreme value distributions
Multivariate analysis, Hypothesis testing, Markov process
Bayesian Statistics
Basics of classical mechanics and quantum mechanics
Laws of motion
Refraction of light, focal length of lens, magnification. Definition of resolution, optical and electron microscope
Principles of lasers
Luminescence, fluorescence and phosphorescence (basic concepts and applications)
Non-covalent bonding in protein structure
Biophysical techniques for determining size and shape of macromolecules – ultra centrifugation, electrophoresis and chromatography. Application of spectroscopy (fluorescence and absorption spectroscopy) and X-ray diffraction for determination of biomolecular secondary and tertiary structure – CD, NMR, X-ray crystallography, mass spectroscopy of biological molecules
Basic principle of chemical kinetics – Zero order and first order kinetics, energy of activation. Reversible and irreversible thermodynamics