Numerical Methods (MA207)

Course Name: 

Numerical Methods






Programme Core (PC)

Credits (L-T-P): 

(3-0-0) 3


Root finding of polynomials (zeros of a function) and transcendental functions (nonlinear equation), bracketing, bisection, secant, and Newton Raphson methods. Interpolation, splines, polynomial fits, Chebyshev approximation.
Numerical Integration and Differentiation: Evaluation of integrals, elementary analytical methods, trapezoidal and Simpson’s rules, Romberg integration, Gaussian quadrature and orthogonal polynomials, multiple integrals, improper integrals, summation of series, Euler-Maclaurin summation formula, numerical differentiation and estimation of errors. Linear system of equations, LU factorization, Special types of Matrices, Iterative Methods – Jacobi, Gauss-Siedel, SOR methods.

Course Outcomes:


1) Richard L. Burden and J. Douglas Faires, Numerical Analysis: Theory and Applications, India Edition, Cengage Brooks-Cole Publishers, 2010. 2) W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in C/FORTRAN, Prentice Hall of India, New Delhi, 1994. 3) Jaan Kiusalaas, Numerical Methods in Engineering with MATLAB, 2nd Edition, Cambridge University Press, 2009.


Mathematical and Computational Sciences

Contact us

Prof. B R Jayalekshmi,  Professor and Head
Department of Civil Engineering, NITK, Surathkal
P. O. Srinivasnagar, Mangalore - 575 025
Karnataka, India.

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