B.Tech. Degree Programme Electrical Engineering - Lingaya's ...

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B.Tech. Electrical Engineering (Regular)PRE-REQUISITESKnowledge of Computer Networks at B Tech level1. INTRODUCTION: Meeting today's data storageneeds - data creation; data creation: individuals,business; categories of data; data storage models;common data storage media and solutions - tapestorage systems, optical data storage, disk basedstorage2. DATA CENTER INFRASTRUCTURE: Example;key requirements of storage systems managementactivities3. STORAGE SYSTEMS ARCHITECTURE: Storagesystem environment; components of a host;connectivity; physical disks; RAID array; diskstorage systems; data flow exercise4. NETWORKED STORAGE: Direct AttachedStorage (DAS), Network Attached Storage (NAS),Fiber Channel Storage Area Network (FC SAN), IPStorage Area Network (IP SAN), ContentAddressed Storage (CAS)5. BUSINESS CONTINUITY: Introduction, overview,backup and recovery, local replication, remotereplication.6. MONITORING AND MANAGING THE DATACENTER: Areas of the data center to monitor;considerations for monitoring the data center;techniques for managing the data center.7. SECURING STORAGE AND STORAGEVIRTUALIZATION: Securing the storageinfrastructure; virtualization technologies.TEXT BOOKOsborne Marc Farley, “Building Storage Networks”,Tata McGraw HillREFERENCE BOOKS1. Spalding Robert, “Storage Networks: TheComplete Reference“, Tata McGraw Hill2. Gupta Meeta, “Storage Area NetworkFundamentals”, Pearson Education Limited3. Kowalski Gerald J. and Maybury Mark T.,“Information Storage & Retrieval Systems Theory& Implementation”, BS Publications4. Thejendra B. S., “Disaster Recovery & BusinessContinuity”, Shroff Publishers & Distributors, EMC– Students KitWEB REFERENCES1. http://www.cs.cmu.edu/~fp/courses/03-312/handouts/18-storage.pdf2. http://www.freedownloadscenter.com/Information_Management/MA-471 DISCRETE MATHEMATICSL T P Cr5 0 0 3OBJECTIVETo acquaint the students with the various conceptsand tools of applied mathematics which will be verybasic and the very soul and guide of computer field.1. SET THEORY: Different types of sets; Setoperations; Classes of sets; Relation; Types ofrelation; Functions; Types of functions andcomposition of functions and relation; Cardinalityand inverse relations; Fuzzy sets; Basicoperations of fuzzy sets.2. BOOLEAN ALGEBRA & LATTICES: Definition ofBoolean algebra; Basic operations of Booleanalgebra; Partially ordered sets; Lattices; SubLattices; Different types of Lattices; Operations onLattices.3. NUMBER THEORY: Basic properties; Divisibilitytheory; Congruences; Chinese remainder theorem;Fermatt's little theorem; τ & μ functions.4. COMBLNATORICES: Fundamental principal ofcounting; Pigeonhole principal; Multinomialcoefficients; Recurrence relation; Generatingfunctions.5. ALGEBRAIC STRUCTURES: Binary operations;Group; Subgroup; Normal subgroup and theirelementary properties; Order of element and group;Lagrange's theorem; Rings; Sub ring; Ideal;Integral domain; Field only definition and examples.6. GRAPH THEORY: Introduction to graphs; Type ofgraphs; Sub graphs and isomorphic graphs;Representation of graphs; Properties of graphs;Euler's formula for planar graph; Eulerian andHamiltonian graph; Ore's theorem.7. TREES: Trees and their properties; Spanningtrees; Kruskal's algorithm; Prim's algorithm;Binary tree.TEXT BOOKSarkar S. K., "A Textbook of Discrete Mathematics" 5thEdition, S. Chand PublicationsREFERENCE BOOK1. Liu C. L., "Element of Discrete Mathematics"McGraw Hill.2. Sengadir, "Discrete Mathematics andCombinatorics", Pearson Education.3. Deo, "Graph Theory", Prentice Hall of India.4. Bough R. Johnson, "Discrete Mathematics",Pearson Education.MA-472ADVANCED HIGHERENGINEERINGMATHEMATICSL T PCr5 0 0 3OBJECTIVETo acquaint the students with the various concepts andtools of applied mathematics which will be very basicand the very soul and guide of various engineeringsubjects.1. SERIES SOLUTION OF DIFFERENTIALEQUATION: Series solution and itsvalidity; General method; Forms of seriessolution.2 & 3. CALCULUS OF VARIATIONS: Introduction;Functinals; Euler's equation; solutions ofEuler's equation; Geodesies; Isoperimetricproblems; Several dependent variables;Functionals involving higher order derivative;Approximate solution of boundary valueproblems- Rayleigh-Ritz methods; Hamilton'sprinciple; Lagrange's equations.4 & 5. TENSOR ANALYSIS: Introduction;Summation convention; Transformation of co-78
Lingaya’s University, Faridabadordinates; Tensor of order zero; KroneckerDelta; Contravariant and Co-variant tensors;Quotient law; Riemannian space; Conjugatetensor; Christoffel symbols; Transformation ofChristoffel symbol; Covariant differentiation ofa covariant tensors; Covariant differentiation ofa contravariant tensors.6 & 7. INTEGRAL EQUATIONS: Definition andclassification of integral equations; Conversionof a linear differential equation to an integralequation and vice versa; Voltera Integralequations, solution of integral equation byresolvent Kernel, Method of successiveapproximation, Euler integrals, VolterraIntegral equation of the first kind, Fredholmequation of second kind.TEXT BOOKGrewal B. S., “Higher Engineering Mathematics”, 38thEdition, Khanna Publisher, 2005REFERENCE BOOKS1. Wylie C. Ray and Barrett Louis.C., "AdvancedEngg. Mathematics", McGraw Hill2. Sastry S. S., "Engineering Mathematics”, IllrdEdition, Prentice Hall of India, 19943. Jerri Abdul J., "Introduction of Integral Equationwith Application", Wiley-Interscience; 2nd Edition,19994. Debnath Lokenath, "Integral Transforms and theirApplications", 2nd Edition, Chapman & Hall, 20075. Weatherburn, “Tensor Calculus", CambridgeUniversity Press, 20086. Kreyszig E., "Advanced Engineering Mathematics",9th Edition, John Wiley, 2006MA-473ADVANCED NUMERICAL L T P CrTECHNIQUES 5 0 0 3OBJECTIVETo acquaint the students with the various concepts andtools of applied mathematics which will be very basicand the very soul and guide of various engineeringsubjects.1. EIGEN VALUE PROBLEMS: Eigen valuesand eigen vectors; Power methods: Jacobi'smethods; Given's methods; House-holder'smethods.2 & 3. DIFFERENCE EQUATIONS: Introduction;formation of difference equations;complementary function; particular integral;difference equations reducible to linear form;simultaneous difference equations and itsapplications.4. PARABOLIC PARTIAL DIFFERENTIALEQUATION: Transient heat flow equation; theexplicit method; Crank-Nicolson method;parabolic equation in two or three dimension;finite elements for heat flow.5. HYPERBOLIC PARTIAL DIFFERENTIALEQUATION: The wave equation; solving thewave equation by finite differences;comparison to the d'Alembert solution; methodof characteristics; the wave equation in 2-D;finite elements and the wave equation.6. APPROXIMATION OF FUNCTION:Chebyshev polynomials; economized powerseries; approximation with rational functions;Fourier series; getting Fourier co efficientnumerically and fast Fourier transform.7. APPLICATION IN ENGINEERING FIELD:Application of Gaussian quadrature inevaluating stiffness and stress matrices for 2Dand 3D elements.TEXT BOOKCurtis F, Gerald and Patrick, "Applied NumericalAnalysis", 7th Edition, Wheatley SolutionREFERENCE BOOKS1. Balagurusamy E., "Numerical Methods", TataMcGraw Hill2. Sastry S. S., "Introductory Methods of NumericalAnalysis", Prentice Hall of India3. Jain M. K., Iyenger S. R. K. and Jain R. K.,"Numerical Methods for Scientific and Engg.Computations" by - Wiley Eastire Ltd.4. Rao S. S., “The Finite Element Method in Engg.”,Pregamon Press/McGraw Hill, 1989MA-474OPERATION RESEARCHL T P Cr5 0 0 3OBJECTIVEThe aim of the topic is to provide a common platformfor the Engineers, Scientists along with people frommanagement, industry & defence sector. This topic alsoprovides how to get optimal solution in above saidbranch.1. LINEAR PROGRAMMING: Linear programmingmodeling and examples; resolution of degeneracy;duality theory; dual-simplex and primal-dualalgorithms; transportation; assignment problems;sensitivity analysis; industrial applications of linearprogramming like product mix problems; blendingproblems; optimal allocation of resources, etc.2. INTEGER PROGRAMMING, GOELPROGRAMMING & MULTICRITERIA DECISIONMAKING: Formulation of various industrialproblems as integer and mixed integerprogramming problems; branch and boundalgorithm; cutting plane methods for pure andmixed integer programming problems; Knap-sack;travelling salesman and shortest route problems.multicriteria decision; multicriteria decision makingmodels; determination of set of feasiblealternatives; solution techniques; goalprogramming approach; goal programming models;ranking and weighting of multiple goals; simplexmethod in goal programming.3. NON-LINEAR PROGRAMMING: Constraintqualification and Kuhn-Tucker necessaryconditions; sufficiency of Kuhn-Tucker necessaryconditions and convex programs; LinearComplementarity Problem (LCP); Quadraticprogramming and use of LCP for solving quadraticprogramming problems.4. SEQUENING MODEL: Two machine and n jobs(no passing) problem and three machine and njobs (no passing) problems; different routing; 2 jobsand m machines; n jobs and m machines; branch79
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CATEGORY-WISE LIST OF COURSESLingay
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