M.E. POWER SYSTEM 1ST SEM ADVANCE MATHEMATICS (MEPS-101)SYLLABUS
UNIT ISolution of Partial Differential Equation (PDE): by separation of variable method,numerical solution of PDE (Laplace, Poisson’s, Parabola) using finite difference methods, Elementary properties of FT, DFT, WFT, Wavelet transform,Haar transform.
UNIT II
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 III
Stochastic process:Markov process transition probability transition probability matrix, just and higher order 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 IV
Operations of fuzzy sets:fuzzy arithmetic & relations,fuzzy relation equations,fuzzy logics. MATLAB introduction, programming in MATLAB scripts, functions and their application.
UNIT V
Introduction and definition of reliability:derivation of reliability functions,Failure rate, Hazard rate, mean time t future & their relations,concepts of fault tolerant analysis, Elementary idea about decision theory and goal programming.
REFERENCE BOOKS:
- Higher Engineering Mathematics by B.V. Ramana, Tata Mc Hill.
- Advance Engineering Mathematics by Ervin Kreszig, Wiley Easten Edd.
- Applied Numerical Methods with MATLAB by Steven C Chapra, TMH
- Introductory Methods of Numerical Analysis by S.S. Shastry,
- Numerical Solution of Differential Equation by M. K. Jain
- Numerical Mathematical Analysis By James B. Scarborogh
- Fourier Transforms by J. N. Sheddon
- Fuzzy Logic in Engineering by T. J. Ross
- Fuzzy Sets Theory & its Applications by H. J. Zimmersoms
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