#1
25th January 2018, 01:09 PM
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Syllabus of Applied Mathematics In IIT Roorkee
Hii sir, I Wants to get the Syllabus of Subject Mathematics I of the Integrated M. Sc. (Applied Mathematics) of the IIT Roorkee ?
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#2
25th January 2018, 01:13 PM
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Re: Syllabus of Applied Mathematics In IIT Roorkee
Indian Institute of Technology Roorkee (abbreviated IIT Roorkee or IITR), formerly University of Roorkee and Thomason College of Civil Engineering, is a public engineering university located in Roorkee, Uttarakhand, India. The Syllabus of Elective Subject Mathematics I of the Integrated M. Sc. (Applied Mathematics) of the IIT Roorkee is given below 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, Skew-symmetric, Hermitian, Skew-Hermitian, Normal & Unitary matrices and their elementary properties. Eigen-values and Eigenvectors of a matrix, CayleyHamilton theorem, Diagonalization of a matrix. 2. 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 3. 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.. 4. 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. For more Information you may Consider the below Attachement that is Free to Download Syllabus of Subject Mathematics I of the Integrated M. Sc. (Applied Mathematics) of the IIT Roorkee Contact Detials : IIT Roorkee Address: Roorkee - Haridwar Highway, Roorkee, Uttarakhand 247667 Phone: 01332 285 311 |