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Electrical and Electronics - Lingaya's University

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Lingaya’s <strong>University</strong>, Faridabad1. PARTIAL DIFFERENTIATION: Functions of two ormore variables; Partial derivatives; Total differential<strong>and</strong> differentiability; Derivatives of composite <strong>and</strong>implicit 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 <strong>and</strong> volumeof solids of revolution; triple integrals; Volume ofsolids; Change of variables.3. SPECIAL INTEGRALS: Differentiation underintegral sign; Beta <strong>and</strong> gamma functions <strong>and</strong>relationship between them.4. LAPLACE TRANSFORMS: Laplace transforms<strong>and</strong> its elementary properties; Inverse transforms;Convolution theorem.5. FOURIER SERIES AND FOURIER TRANSFORMS:Euler‘s formulae; Change of intervals; Fourier seriesof odd <strong>and</strong> even functions; Half range sine <strong>and</strong>cosines 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 <strong>and</strong> 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. <strong>and</strong> Iyengar S. R. K., ―AdvancedEngineering Mathematics‖, 3rd Edition, NarosaPublishing House3. Greenberg Michael D., ―Advanced EngineeringMathematics‖, 2nd Edition, Dorling Kindersley IndiaPvt. Ltd., New Delhi* * * * * * * *41

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