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B.Tech. Degree Programme Computer Science & Engineering

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Lingaya’s University, Faridabaditalic. This text should be centered bothhorizontally and vertically.12. Create a simple, non-editable combo box with a listof items, when selected one of the items, willdisplay the string to the console and also printingthe string which is being deselected, i.e., the stringwhich already been selected.13. Program through which the insert statement canbe given at runtime. Use it to insert the followingtest data in the master and details tables.14. Write a Echoserver and Echoclient program thatdisplays whatever is typed in the server on to theclient using sockets.15. Use socket programming to design a client/serverapplication that takes the password as input andchecks whether it is correct. The program shouldprint the appropriate message.16. Using servlet develop a Java program (databaseconnectivity)17. Using RMI develop a client-server frameREFERENCE BOOKS1. Horstmann Cay and Cornell Gary, “Core Java”,Volume I - Fundamentals, 8th Edition, PearsonEducation, 20072. Callway Dustin R., “Inside Servlets”, 2nd Edition,Addison-Wesley Professional, 20013. Goodwill James and Bryan Morgan, “DevelopingJava Servlets”, 2nd Edition, <strong>Tech</strong>media, 2001MA-101 APPLIED MATHEMATICS–IL T P Cr5 1 0 4OBJECTIVETo acquaint the students with the various concepts andtools of applied mathematics which will be very basic andthe very soul and guide of various engineering subjects.1. MATRICES & ITS APPLICATIONS: Rank of amatrix; elementary transformations; elementarymatrices; inverse using elementarytransformations; normal form of a matrix; lineardependence and independence of vectors;consistency of linear system of equations; linearand orthogonal transformations; Eigen values andEigen vectors; properties of Eigen values; Cayley -Hamilton theorem and its applications.2. INFINITE SERIES: Convergence and divergence;comparison; D' Alembert's ratio; Integral; Raobes;De Morgan’s & Bertrand’s; logarithmic and Cauchyroot tests; alternating series; absolute andconditional convergence.3. APPLICATIONS OF DIFFERENTIATION: Taylor'sand Maclaurin's series; asymptotes; curvature.4. PARTIAL DIFFERENTIATION: Functions of two ormore variables; partial derivatives; total differentialand differentiability; derivatives of composite andimplicit functions; Jacobian’s; higher order partialderivatives.5. APPLICATION OF PARTIAL DIFFERENTIATION:Homogeneous functions; Euler's theorem; Taylor'sseries for functions of two variables (without proof);maxima-minima of function of two variables;Lagrange's method of undetermined multipliers;differentiation under integral sign.6. FOURIER SERIES: Euler’s formula; conditions fora Fourier expansion; change of interval; Fourierexpansion of odd and even function; Fourierexpansion of square wave; rectangular wave; sawtoothedwave; half and full rectified wave functions;half range sine and cosine series.7. ORDINARY DIFFERENTIAL EQUATIONS & ITSAPPLICATIONS: Exact differential equations;equations reducible to exact differential equations;applications of differential equations of first orderand first degree to simple electric circuits;Newton's law of cooling; heat flow and orthogonaltrajectories.TEXT BOOKKreyszig F., "Advanced <strong>Engineering</strong> Mathematics", 9thEdition, John Wiley, 2006REFERENCE BOOKS1. Jeffery, “<strong>Engineering</strong> Mathematics”, AcademicPress/Elsevier.2. Sastry, S. S., “<strong>Engineering</strong> Mathematics Part-I”,2nd Edition, Prentice Hall of India3. Jain, R. K. and Iyengar, S. R. K., “Advanced<strong>Engineering</strong> Mathematics” 3rd Edition, NarosaPublishing House4. Greenberg, D., Michael., “Advanced Engg.Mathematics”, 2nd Edition, Dorling Kindersley IndiaPvt. Ltd.MA-102APPLIEDL T P CrMATHEMATICS-II 5 1 0 4OBJECTIVETo acquaint the students with the various concepts andtools of applied mathematics which will be very basic andthe very soul and guide of various engineering subjects.1. DIFFERENTIAL EQUATIONS OF HIGHERORDER AND ITS APPLICATION: Lineardifferential equations of second and higher order;complete solution; complementary function andparticular integral; method of variation ofparameters to find differential particular integral;Cauchy's and Legendre's linear equations;simultaneous linear equations with constantcoefficients; applications of linear differentialequations to simple pendulum; oscillatory electriccircuits.2. LAPLACE TRANSFORMS AND ITSAPPLICATIONS: Laplace transforms ofelementary functions; properties of Laplacetransforms; existence conditions; transforms ofderivatives; transforms of integrals; multiplicationby t; division by t.3. EVALUATION OF INTEGRALS BY LAPLACETRANSFORMS: Laplace transform of unit stepfunction; unit impulse function and periodicfunction; Inverse transforms; convolution theorem;application to linear differential equations andsimultaneous linear differential equations withconstant coefficients.4. FOURIER TRANSFORMS: Fourier integraltransforms; shifting theorem (both on time andfrequency axes); Fourier transforms of derivatives;67

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