Rajiv Gandhi Proudhyogiki Vishwavidyalaya, Bhopal
Master of Engineering ( M.E.)1st Sem Digital Communication Syllabus
Master of Engineering ( M.E.)1st Sem Digital Communication Syllabus
RGPV ME/ M.TECH DIGITAL COMM. ADVANCED MATHEMATICS (MEVD-101)
UNIT I
Solution 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,Poisson’s distribution. 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:
Solution 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,Poisson’s distribution. 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, Tata Mc Graw Hill.
- Introductory Methods of Numerical Analysis by S.S. Shastry,
- Introduction of Numerical Analysis by Forberg
- 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
META TAGS:- RGPV M.TECH 1ST SEM DIGITAL COMMUNICATION SYLLABUS I RGTU M.TECH DIGITAL COMMUNICATION 1ST SEM SYLLABUS I RGPV M.TECH 1ST SEM ADVANCED MATHEMATICS SYLLABUS I RGPV M.TECH 1ST SEM DIGITAL COMMUNICATION ADVANCED MATHEMATICS SYLLABUS I RGPV M.TECH SYLLABUS I RGTU M.TECH 1ST SEM DIGITAL COMMUNICATION I RGTU M.TECH 1ST SEM ADVANCED MATHEMATICS PAPERSI RGTU DIGITAL COMMUNICATION M.TECH 1ST SEM ADVANCED MATHEMATICS SYLLABUS I RGPV M.TECH 1ST SEM ADVANCED MATHEMATICS SYLLABUS
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