B. Tech. Production & Industrial Engineering - Shiats.edu.in

11. Write C program to demonstrate each of the following:1 Conditional statements.2 Looping statements.3 User defined functions.4 Arrays.5 Pointers and structures.12. Familiarizing mail account using PINE, deleting, creating folder/mail-messages, addingsignature, creating director of addresses.ENGINEERING MATHEMATICS IICourse Code MAS-490 CREDIT : 4 (3-1-0)1. Differential Equations:Ordinary differential equations of first order, exact differentialequations, Linear differential equations of 1st order with constant coefficients,Complementary functions and particular integrals, Simultaneous linear differentialequations, Solution of second order differential equation by changing dependent andindependent variables, Method of variation of parameters, Applications to engineeringproblems(without derivation).2. Series Solution & Special Functions:Series solutions of ODE of 2nd order with variablecoefficients with special emphasis to the differential of legendre and Bessel.Legendre’s polynomials, bessel’s functions and their properties.3. LaplaceTransform:Laplace transform, Existence theorem, Laplace transform derivativesand integrals, Inverse Laplace transform, Unit-step function, Dirac Delta function,Laplace transform of periodic functions, convolution theorem Applications to solvesimple linear and simultaneous differential equations.4. Fourier Series And Partial Differential Equations :Periodic functions,Trignometricseries, Fourier series of functions with period 2n, Eulers formulae, functions havingarbitrary period, even and odd functions, change of interval, half range sine and cosineseries.Introdution to partial differtial equations, linear partial differential equation with constantcoefficients of 2nd order and their classifications, parabolic, elliptic & hyperbolic withillustrative examples.5. Application of Partial Differential EquationsMethod of separation of variables for solving partial differential equation, Waveequation up to two dimension, Laplace equation in two dimension, Heat conductionequations up to two dimension, Equation of transmission Lines.References:1. E. Kreyszig: Advanced Engineering Mathematics, Wiley Eastern Ltd.2. B.S Grewal: Higher Engineering Mathematics, Khanna Publishers.3. Jaggi & Mathur: Advanced Engineering Mathematics, Khanna Publishers.