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NATIONAL INSTITUTE OF TECHNOLOGY KARNATAKA, SURATHAKAL ------------------------------------------------------------------------------------------------------------------ MA308 STATISTICAL ANALYSIS AND APPLICATIONS (3–0–0) 3 PREREQ: MA208 Sampling theory: random samples, statistic, sampling distribution, 2 , t and F distributions, central χ limit theorem, statistical inference, point estimation, unbiasedness, MLEs, interval estimation of mean and variances, hypothesis testing, types of errors, one � sided, two � sided tests, tests concerning means and variances, goodness of fit tests, data analysis: correlation and regression of data, simple linear regression. P.L. Meyer, Introductory Probability and Statistical Applications, Oxford & IBH Publishing Co. S.M. Ross, Introduction to Probability and Statistics for Engineers and Scientists, John Wiley. MA401 COMPUTATIONL FLUID DYNAMICS (3–0–0) 3 PREREQ: MA207 CFD applications in Engineering, Overview of CFD, Governing equations of fluid dynamics, Introduction to finite differences, Explicit and implicit approaches, Advances in CFD, Upwind schemes, High � resolution schemes. Hanif Chaudhry, Open – channel Flow. J.D. Anderson, Computational Fluid Dynamics. MA402 FINITE ELEMENT METHODS (3–0–0) 3 PREREQ: MA207 Introduction to calculus of variations, Approximate methods, Finite Elements, nodes classifications, approximate functions, Solution of Boundary value problems of second order differential equations, Finite element equations for the heat conduction equation, vibration equation, elliptic problems using Galerkine and Ritz methods. M.K. Jain, Numerical Solution of Differential Equations, PHI Ltd. A.R. Mitchell and R. Wait, Finite Element methods in partial Differential Equations, Edn. John Wiley, 1977. MA403 MATHEMATICAL MODELING (3–0–0) 3 PREREQ: MA101/ MA151 Introduction: Mathematical modeling through ordinary differential equations and systems of ordinary differential equations of first order, Mathematical modeling through difference equations, Modeling using partial differential equations, Mathematical modeling through graphs J.N. Kapoor Mathematical Modeling, 1988, Wiley Eastern. R. Aris, Mathematical Modeling Techniques 1978, Pitman. MA404 NON – LINEAR OPTIMIZATION (3–0–0) 3 PREREQ: MA304 Classical optimization techniques: Unconstrained optimization �constrained optimization, Quadratic Programming, Construction of Kuhn- Tucker conditions, Wolfe�s method and Beale�s method; separable programming, Geometric Programming: unconstrained and constrained geometric programming problems Dynamic Programming: Deterministic dynamic programming, probabilistic dynamic programming Hamdy A.Taha, Operations Research, fifth edition, 1992, Mc Millan. Fedrick S. Hillier, Gerald J. Libermann, Operations Research, 1974, Holden Day Inc. Kanti Swarup, Gupta and Manmohan, Operations Research, 1995, Sultan Chand Publications. MA405 RELIABILITY THEORY AND APPLICATIONS (3-0-0) 3 PREREQ: MA208 Reliability, concepts and definitions, causes of failure, concept of hazard, failure models, bath tub curve, MTTF, MTBF, system reliability for various configurations, reliability improvement, redundancy, reliability-cost trade � off, maintainability and availability concepts, system safety analysis, FTA, FMEA. E.E. Lewis, Introduction to Reliability Engineering, John Wiley. K S. Trivedi, Probability and Statistics with Reliability, Queuing and Computer Science Applications, PHI. --------------------------------------------------------------------- NITK-Course Contents(UG)2010 Page 130 of 134
NATIONAL INSTITUTE OF TECHNOLOGY KARNATAKA, SURATHAKAL ------------------------------------------------------------------------------------------------------------------ MA406 STATISTICAL DESIGN AND ANALYSIS OF EXPERIMENTS (3-0-0) 3 PREREQ: MA208 Sampling theory: random samples, statistics, sampling distributions, central limit theorem, statistical inference: point estimation, unbiased ness, interval estimation of means and variance, hypothesis testing, types of errors, one � sided, two � sided tests, tests concerning means and variances, goodness of fit tests, Analysis of variance of one � way, two � way classified data, experimental designs: CRD, RBD, LSD, factorial experiments D.C. Montgomery, Design and Analysis of Experiments, John Wiley. R.V. Hogg and A.T. Craig, Introduction to Mathematical Statistics, McMillan. MA407 STASTICAL QUALITY CONTROL (3-0-0) 3 PREREQ: MA208 Sampling theory: random samples, statistic sampling distributions, central limit theorem, concept of Quality, types of variations, process control and product control, control charts for variables and attributes, concept of acceptance sampling, by attributes, O.C., AQL, LTPD, AOQL, ATI etc, types of sampling plans, Reliability, definitions, concept of hazard, bath-tub curve, system reliability for various configurations. E.L. Grant, Statistical Quality Control, Mc Graw Hill. D C Montgomery, Introduction to Statistical Quality Control, John Wiley. MA408 STOCHASTIC ANALYSIS AND APPLICATIONS (3-0-0) 3 PREREQ: MA208 Stochastic processes, basic concepts, classifications, Markov chains, C� K equations, ergodic chains, steady state behaviour, Poisson process, derivations, birth and death process. Queuing systems, basic concepts, M|M|1 and M|M|s queues, Reliability, definitions, concept of hazard, bath- tub curve, system reliability for various configurations. J. Medhi, Stochastic Processes, New Age International Publishers. K S. Trivedi, Probability and Statistics with Reliability, Queuing and Computer Science Applications, PHI. --------------------------------------------------------------------- NITK-Course Contents(UG)2010 Page 131 of 134
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