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25th January 2018, 01:13 PM
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Join Date: Aug 2012
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


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