Electrical and Electronics - Lingaya's University

Lingaya’s University, Faridabad1. ERRORS IN NUMERICAL CALCULATIONS:Introduction; numbers and their accuracy;absolute; relative and percentage errors and theiranalysis; truncation errors; general formula; errorcalculation for inverse problem.2. SOLUTION OF NON-LINEAR EQUATIONS:Bisection method; Regula-Falsi method; Secantmethod; Newton-Raphson method; fixed pointmethod; initial approximation and convergencecriteria.3. SOLUTION OF LINEAR SYSTEMS: Gausselimination method; Gauss-Jorden method; UVfactorization, Jacobi‘s method; Gauss-Seidalmethod.4. INTERPOLATION & CURVE FITTING:Introduction to interpolation; Newton‘s forward andbackward formula; Sterling formula; Lagrangianpolynomials; divided differences; least squaresmethod.5. NUMERICAL DIFFERENTIATION ANDINTEGRATION: Derivatives from differencestables; numerical differentiation formulas, Newton-Cotes integration formulae; trapezodial rule;Simpson‘s rule; Bool‘s rule; Weddle‘s rule;Romberg‘s rule.6. SOLUTION OF DIFFERENTIAL EQUATIONS:Taylor‘s series method; Euler and modified Euler‘smethod; Runge-Kutta method; Milne‘s predictioncorrector method, Adams–Bashforth method.7. SOLUTION OF PARTIAL DIFFERENTIALEQUATIONS: Finite difference approximation;solution of Laplace equation (standard 5 pointformula) one-dimensional heat equation (Schmidtmethod, Cranck-Nicolson method; Dufort & Frankelmethod and wave equation.TEXT BOOKGrewal B. S., ―Numerical Methods in Engineering andSciences‖, Khanna PublisherREFERENCE BOOKS1. Curtis F, Gerald and Patrick, ―Applied NumericalAnalysis‖, 7th Edition, Addison Wesley2. Balagurusamy E., ―Numerical Methods‖, TataMcGraw Hill3. Sastry S. S., ―Introductory Methods of NumericalAnalysis‖, Prentice Hall of India4. Jain M. K., Iyenger S. R. K. and Jain R. K.―Numerical Methods for Scientific and Engg.Computations‖, Wiley Eastern5. Rao S. S., ―The Finite Element Method inEngg.‖, 2nd Edition, Pregamon Press/McGrawHill, 1989MA-252APPLIED NUMERICALMETHODS LABL T P Cr0 0 2 1LIST OF EXPERIMENTS1. To find the roots of non-linear equation usingBisection method.2. To find the roots of non-linear equation usingSecant method.3. To find the roots of non-linear equation usingNewton‘s method.4. To solve the system of linear equations usingGauss-Elimination method.5. To solve the system of linear equation usingGauss-Seidal iteration method.6. To find the values of function at a particular pointusing Newton‘s forward formula.7. To find the values of function at a particular pointusing Newton‘s backward formula.8. To find the values of function at a particular pointusing Lagrange‘s interpolation formula.9. To integrate numerically using Trapezoidal rule.10. To integrate numerically using Simpson‘s rule.11. To find the solution of o.d.e (ordinary differentialequation) by Euler‘s method.12. To find the solution of o.d.e by Runge-Kuttamethod.13. To find the numerical solution of Laplaceequation.14. To find the numerical solution of heat equation.15. To find the numerical solution of wave equation.REFERENCE BOOKS1. Curtis F, Gerald and Patrick, ―Applied NumericalAnalysis‖, 7th Edition, Addison Wesley2. Balagurusamy E., ―Numerical Methods‖, TataMcGraw Hill3. Sastry S. S., ―Introductory Methods of NumericalAnalysis‖, Prentice Hall of India4. Jain M. K., Iyenger S. R. K. and Jain R. K.―Numerical Methods for Scientific and Engg.Computations‖, Wiley EasternME-101ENGINEERING MECHANICSL T P Cr5 1 0 4OBJECTIVEEngineering Mechanics is one of the core subjects thatintroduces the student to analysis of forces and motionand prepares the student for studying strength ofmaterials and theory of machines.2 FORCE SYSTEMS: Basic concepts of space,time, mass, force, particle and rigid body; scalarsand vectors; conventions for equations anddiagrams; external and internal effects of a force;principle of transmissibility; force classification;rectangular components of two and threedimensional force systems; resultant of two andthree dimensional and concurrent force systems;moment about a point and about an axis;Varignon‘s theorem; resultant of non-concurrentforce systems; couple; equivalent couples; forcecouple systems.3 EQUILIBRIUM: Equilibrium in two and threedimensions; system isolation and the free-bodydiagram;modeling the action of forces; equilibriumconditions; applications including plane trusses;frames and machines.4 PROPERTIES OF SURFACES/CROSSSECTIONS: Centre of mass; determining thecentre of gravity; centre of mass versus centre ofgravity; centroids of lines, areas and volumesincluding composite sections; moments of inertia;MI of plane figures; MI with respect to axis in itsplane and with respect to an axis perpendicular tothe plane of figure; parallel axis theorem; momentof inertia of a rigid body – of a lamina and of threedimensional body; MI of composite figures.35