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IIT Roorkee Aerospace Engineering 
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Re: IIT Roorkee Aerospace Engineering
The IIT Roorkee was established in 1847. It is one of oldest and finest Institutes in India. The IIT Roorkee offers following B.Tech Courses: B. Tech. Biotechnology B. Tech. Chemical Engineering B. Tech. Civil Engineering B. Tech. Electrical Engineering B. Tech. Electronics & Communication Engineering B. Tech. Computer Science & Engineering B. Tech. Mechanical Engineering B. Tech. Production & Industrial Engineering B. Tech. Metallurgical & Materials Engineering B. Tech. Pulp & Paper Engineering* B.Tech. Polymer Science & Technology B.Tech. Engineering Physics The IIT Roorkee does not offer B.Tech Course with Aerospace Engineering discipline. If you want to do any of these courses, you can contact us on website where you are visiting now. We will provide complete information as you want. Here I am attaching syllabus of B.Tech First Year for your reference: IIT Roorkee B.Tech First Year Mathematics I Matrix Algebra: Elementary operations and their use in getting the Rank, Inverse of a matrix and solution of linear simultaneous equations. Orthogonal, Symmetric, Skewsymmetric, Hermitian, SkewHermitian, Normal & Unitary matrices and their elementary properties. Eigenvalues and Eigenvectors of a matrix, CayleyHamilton theorem, Diagonalization of a matrix. Differential Calculus: Limit, Continuity and differentiability of functions of two variables, Euler’s theorem for homogeneous equations, Tangent plane and normal. Change of variables, chain rule, Jacobians, Taylor’s Theorem for two variables, Error approximations. Extrema of functions of two or more variables, Lagrange’s method of undetermined multipliers Integral Calculus: Review of curve tracing and quadric surfaces, Double and Triple integrals, Change of order of integration. Change of variables. Gamma and Beta functions. Dirichlet’s integral. Applications of Multiple integrals such as surface area, volumes, centre of gravity and moment of inertia.. Vector Calculus: Differentiation of vectors, gradient, divergence, curl and their physical meaning. Identities involving gradient, divergence and curl. Line and surface integrals. Green’s, Gauss and Stroke’s theorem and their applications Mathematical Methods Ordinary Differential Equations: Solution of linear differential equations with constant coefficients. EulerCauchy equations, Solution of second order differential equations by changing dependent and independent variables. Method of variation of parameters, Introduction to series solution method. Partial Differential Equations: Formation of first and second order partial differential equations. Solution of first order partial differential equations: Lagrange`s equation, Four standard forms of nonlinear first order equations . Laplace Transform: Laplace and inverse Laplace transform of some standard functions, Shifting theorems, Laplace transform of derivatives and integrals. Convolution theorem, Initial and final value theorem. Laplace transform of periodic functions, error functions, Heaviside unit step function and Dirac delta function. Applications of Laplace transform. Z  Transform: Z – transform and inverse Ztransform of elementary functions, Shifting theorems, Convolution theorem, Initial and final value theorem. Application of Z transform to solve difference equations. Fourier series: Trigonometric Fourier series and its convergence. Fourier series of even and odd functions. Fourier halfrange series. Parseval`s identity. Complex form of Fourier series. Fourier Transforms: Fourier integrals, Fourier sine and cosine integrals. Fourier transform, Fourier sine and cosine transforms and their elementary properties. Convolution theorem. Application of Fourier transforms to BVP. IIT Roorkee B.Tech First Year
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