{"product_id":"9789390450213","title":"Engineering Mathematics -III  for SPPU 19 Course (SE - III - Electrical - 207006) (Decode)","description":"\u003cp\u003eSYLLABUS   ENGINEERING MATHEMATICS-III - (207006) Credits \tExamination Scheme [Marks] Th : 03\tIn Sem    :  30 Marks  \tEnd Sem  :  70 Marks Unit I : \tLinear Differential Equations (LDE) and Applications LDE of  order with constant coefficients, Complementary Function, Particular Integral,General method, Short methods, Method of variation of parameters, Cauchy’s and Legendre’s DE, Simultaneous and Symmetric simultaneous DE. Modeling of Electrical circuits. (Chapters - 1, 2) Unit II :\tLaplace Transform (LT)  Definition of LT, Inverse LT, Properties \u0026amp; theorems, LT of standard functions, LT of some special functions viz. Periodic, Unit Step, Unit Impulse. Applications of LT for solving Linear differential equations. (Chapter - 3) Unit III :\tFourier and Z - transforms  Fourier Transform (FT) : Complex exponential form of Fourier series, Fourier integral theorem, Fourier Sine \u0026amp; Cosine integrals, Fourier transform, Fourier Sine \u0026amp; Cosine transforms and their inverses. Z - Transform (ZT) : Introduction, Definition, Standard properties, ZT of standard sequences and their inverses. Solution of difference equations. (Chapters - 4, 5) Unit IV :\tStatistics and Probability Measures of central tendency, Measures of dispersion, Coefficient of variation, Moments, Skewness and Kurtosis, Correlation and Regression, Reliability of Regression estimates. Probability, Probability density function, Probability distributions : Binomial, Poisson, Normal, Test of hypothesis : Chi-square test. (Chapters - 6, 7) Unit V : \tVector Calculus  Vector differentiation, Gradient, Divergence and Curl, Directional derivative, Solenoidal and Irrotational fields, Vector identities. Line, Surface and Volume integrals, Green’s Lemma, Gauss’s Divergence theorem and Stoke’s theorem. (Chapter - 8) Unit VI : Complex Variables Functions of a Complex variable, Analytic functions, Cauchy-Riemann equations, Conformal mapping, Bilinear transformation, Cauchy’s integral theorem, Cauchy’s integral formula and Residue theorem. (Chapters - 9, 10)\u003c\/p\u003e","brand":"Technical Publications","offers":[{"title":"Default Title","offer_id":44125453025572,"sku":"9789390450213","price":195.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0671\/3661\/8788\/files\/9789390450213_1.jpg?v=1694685127","url":"https:\/\/bookstation.in\/products\/9789390450213","provider":"BookStation","version":"1.0","type":"link"}