Mathematical Methods for Engineers

Course Name: 

MA713 MATHEMATICAL METHODS FOR ENGINEERS

Programme: 

M.Tech (Design and Precision Engineering)

Semester: 

Second

Category: 

Programme Core (PC)

Credits (L-T-P): 

(4-0-0)

Content: 

Revision of Linear Algebra, Linear Transformations, Range and Kernel, Isomorphism, Matrix of transformations
and Change of basis. Series Solutions of ODE and Sturm-Liouville Theory: Power series solutions about
ordinary point, Legendre equation and Legendre polynomials, Solutions about singular points; The method of Frobenius, Bessel equation and Bessel Functions. Sturm-Liouville problem and Generalized Fourier series. Partial Differential Equations: Second order PDEs, Classifications, Formulation and method of solutions of Wave equation, Heat equation and Laplace equation. Tensor Calculus: Line, area and volume integrals, Spaces of N-dimensions, coordinate transformations, covariant and mixed tensors , fundamental operation with tensors, the line element and metric tensor, conjugate tensor, Christoffel’s symbols , covariant derivative.

References: 

A. N. Kolmogorov & S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, Addison Wesley, 1999 Sokolnikoff and Redheffer - Mathematics of Physics and Engineering. 2nd edition. McGraw Hill, 1967. S. Sokolnikoff, Tensor Analysis, Wiley, New York, 1966 J. L. Synge, Tensor Calculus, Dover Publications (July 1, 1978) L.A.Pipes and L.R. Harwill: Applied Mathematics for Engineers and Physicists, Mc Graw Hill, 1971

Department: 

Mathematical and Computational Sciences
 

Contact us

Dr. Narendranath S, Professor and Head
Department of Mechanical Engineering, NITK, Surathkal
P. O. Srinivasnagar, Mangalore - 575 025
Karnataka, India.

  • Hot line: +91-0824-2473049

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