MMMD 101- Advanced Mathematics Rgpv

MMMD 101- Advanced Mathematics

 UNIT 1

 Linear Algebra: 👉Linear transformation, 👉Vector Spaces ,  👉Hash function, 👉 Hermite Polynomial, 👉 Heavisite’s unit function and. 👉 Error function. 👉 Elementary concepts ofModular mathematics.


 UNIT 2

👉 Solution of Partial Differential Equation (PDE) by separation of variable method, numerical solution of PDE (Laplace, Poisson’s, Parabolic) using finite difference methods, Elementary properties of FT, DFT, WFT, Wavelet transform, Haar transform.

UNIT 3

Probability, compound probability and discrete random variable, Binomial, Normal and Poisson’s distributions, Sampling distribution, elementary concept of estimation and theory of hypothesis, recurred relations.

 UNIT 4

Stochastic process, Markov process transition probability transition probability matrix, just and higher order Markov process, Application of Eigen value problems in Markov Process, Markov chain. Queuing system, transient and steady state, traffic intensity, distribution queuing system, concepts of queuing models (M/M/1: Infinity/ Infinity/ FC FS), (M/M/1: N/ Infinity/ FC FS), (M/M/S: Infinity/ Infinity/ FC FS)

UNIT 5

FEM: Variational functionals, Euler Lagrange’s equation, Variational forms, Ritz method, Galerkin’s method, descretization, finite elements method for one dimensional problems.

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