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UNIT 1
Elementary Statistics & Probability: Elementary theory of probability,
Baye’s Theorem with its simple applications, Theoretical probability
distributions – Binomial, Poisson, Normal distribution.
UNIT 2
Advance Statistics: Chisquare test as test of goodness of fit. Line of
regression, Coefficient of correlation and rank correlation.
UNIT 3
Tensor Analysis: Definition of a tensor, Transformation of
co-ordinates, contra variant and co-variant vectors, addition and
multiplication of tensors, contraction of tensors, inner product,
fundamental tensors, Christoffel symbols, covariant differentiation.
UNIT 4
Bessel's Functions: Bessel functions of first and second kind, simple
recurrence relations, orthogonal, property of Bessel’s function.
UNIT 5
Legendre’s function: Legendre’s function, simple recurrence relations,
Rodrigues formula, orthogonal property of Legendre’s function, generating
function.
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