Bisection method – Iteration Method – Convergence condition – Regula Falsi Method – Newton – Raphson method - Convergence Criteria – Order of Convergence.
Gauss elimination method – Gauss Jordan method – Method of Triangularization – Gauss Jacobi method – Gauss Seidel method
Newton’s forward and backward formulae to compute the derivatives – Derivative using Stirlings formulae – to find maxima and minima of the function given the tabular values.
Numerical Integration: Newton – Cote’s formula – Trapezoidal rule – Simpson’s 1/3rd and 3/8th rules – Gaussian quadrature – two points formula.
Taylor series method – Euler’s method – improved and modified Euler method – Runge Kutta method (fourth order Runge Kutta method only).
Reference Book:
1. Numerical Methods in Science and Engineering by Venkataraman M. K., National Publishing company V Edition 1999. 2. Numerical Methods for Scientists and Engineers by Sankara Rao K., 2nd Edition Prentice Hall India 2004. 3. Numerical Methods by M.K.Jain,S.R.K Iyengar and R.K.Jain, (Problems and solutions) New Age International Publishers, 3rd Edition 2000.
Text Book:
Numerical methods by Kandasamy. P, Thilagavathi. K and Gunavathi. K, S. Chand and Company Ltd, New Delhi – Revised Edition 2008. Unit I: Chapter 3: Sections: 3.1, 3.2(3.2.1), 3.3, 3.4(3.41-3.43). Unit II: Chapter 4 :Sections: 4.1, 4.2, 4.4, 4.5, 4.8, 4.9. Unit III: Chapter 9: Sections: 9.1-9.4, 9.6. Unit IV: Chapter 9: Sections: 9.7-9.9, 9.13, 9.14. Unit V: Chapter 11: Sections: 11.5, 11.9, 11.11, 11.13.
