B.Tech. Degree Programme Computer Science & Engineering

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B.Tech. Computer Science & Engineering (Regular)ADDITIONAL/BRIDGE COURSESOBJECTIVEA student found deficient in any area of knowledge/skill needed for programmes of study e.g. Communication Skill,Mathematics, etc. may be required to do suitable additional course(s) on audit basis which will not be shown on hisGrade Card. However if a bridge course(s) is (are) required for those students admitted to second year the samewill be shown on the Grade Card as an audit course.Note: These Courses are made for a specific purpose and are available only for the intended purpose.EN-291ESSENTIALS OFCOMMUNICATIONOBJECTIVE(BRIDGE COURSE)L T PCr5 0 0 3OBJECTIVEThe objective of bridge course is to bring some of thestudents who are not up to the mark and are not able topursue the technical education like their counter parts.This course has been devised to bring the students tothat level from where they can do justice to thetechnical education they are going to pursue.1. Advertisements; notices; formal and integralinvitations.2. Report writing; or factual description based onverbal input provided.3. Letter writing: business letter; enquires; registeringcomplaints; asking and giving information; placingorders and sending replies; letter to editor.4. Parts of speech: noun; pronoun; verb; adverb;adjective; proposition; conjunction; exclamationand general English grammar.5. Verb patterns and sentences structure and tense.6. Foreign words; one word substitutions and wordformation.7. Group discussion and debate on various currentaffairs.TEXT BOOKWren & Martin, “A High School Grammar &Composition”REFERENCE BOOKS1. Wood F. T., “Remedial English Grammar forForeign Students”, The Macmillan Press Ltd., 19752. Tikku M. C., “An Intermediate Grammar Book”3. “English for Engineers and Technologists: A SkillApproach”, Vol. 2, Orient Longman4. Ramesh M. S. and Pattanshetti C. C., “BusinessCommunication”, R.Chand and Company, Delhi5. “Group Discussion”, Sudha Publications/RameshPublishing House, New Delhi.1. BASIS OF CURVES: Important equations fordifferent types of curves in plane includingCartesian, Parametric forms; Concept of polarcoordinates and important curves in polarcoordinates.2. SEQUENCE AND SERIES: Sequences, A.P, G.P.,n n n2 3H.P; Special sequences∑n,∑ n , ∑ nn=1 n=1 n=1 ;Expansions of important functions.3. DIFFERENTIAL CALCULUS: Definition ofderivatives and concepts of partial derivatives,Differentiation of parametric curves up to secondorder; Successive differentiation including Leibnitizrule; analytical and geometrical significance ofdifferentiation.4. INTEGRAL CALCULUS: Formulae of indefiniteintegrals; Properties of definite integrals; Integrationby parts and continued integration by parts.5. THREE DIMENSIONAL GEOMETRY:Dimensional coordinates and important equation ofplanes and surfaces (including sphere, cone,cylinder and ellipsoid); cylindrical and sphericalcoordinates in three dimensions.6. VECTORS: Representation of vectors in two andthree dimensions; operations on vectors includingdot and cross product of three vectors and fourvectors.7. PROBABILITY THEORY: Permutation;Combination; Binomial theorem.TEXT BOOKNCERT, “Mathematics for XI and XII”, NCERT, NewDelhiREFERENCE BOOKS1. Sharma R. D., “Text Book of Mathematics forClass XI”, 10th Edition, Dhanpat Rai & Sons2. Sharma R. D., “Text Book of Mathematics forClass XII”, 10th Edition, Dhanpat Rai & Sons3. Grewal B. S., “Higher Engineering Mathematics”,38th Edition, Khanna Publisher, 2005MA-191MATHEMATICS L T P Cr(MAKEUP COURSE) 5 0 0 3MA-291MATHEMATICS L T P Cr(BRIDGE COURSE) 5 0 0 3OBJECTIVEMathematics is a very essential part of all engineeringcourses. The students entering in the first year who aresome how weak in concepts of Mathematics need upgradation in their level of Mathematics. This course isdesigned keeping in view such students.OBJECTIVEThe students, who join the University after diplomacourse, are deficient in mathematics. This course isdesigned to upgrade and update their knowledge inmathematics so that they are at par with second yearstudents.74
Lingaya’s University, Faridabad1. PARTIAL DIFFERENTIATION: Functions of two ormore variables; Partial derivatives; Total differentialand differentiability; Derivatives of composite andimplicit functions; Jacobians; Higher order partialderivatives; Homogeneous functions; Euler’stheorem.2. MULTIPLE INTEGRALS: Double integrals;Change of order of integrations; Double integrals inpolar co-ordinates; Applications of double integralto find area enclosed by plane curves and volumeof solids of revolution; triple integrals; Volume ofsolids; Change of variables.3. SPECIAL INTEGRALS: Differentiation underintegral sign; Beta and gamma functions andrelationship between them.4. LAPLACE TRANSFORMS: Laplace transformsand its elementary properties; Inverse transforms;Convolution theorem.5. FOURIER SERIES AND FOURIER TRANSFORMS:Euler’s formulae; Change of intervals; Fourier seriesof odd and even functions; Half range sine andcosines series; Fourier integrals; Fourier transforms;Elementary properties.6. DIFFERENTIAL EQUATIONS: Formations ofordinary differential equations; Solutions ofordinary linear differential equations includingsolutions by Laplace transform.7. PARTIAL DIFFERENTIAL EQUATIONS:Formations of partial differential equations;Solutions of linear and non-linear partial differentialequations.TEXT BOOKGrewal B. S., “Higher Engineering Mathematics”, 38thEdition, Khanna Publisher, 2005REFERENCE BOOKS1. Kreyszig F., "Advanced Engineering Mathematics",9th Edition, John Wiley, 20062. Jain R. K. and Iyengar S. R. K., “AdvancedEngineering Mathematics”, 3rd Edition, NarosaPublishing House3. Greenberg Michael D., “Advanced EngineeringMathematics”, 2nd Edition, Dorling Kindersley IndiaPvt. Ltd., New Delhi* * * * * *75
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