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
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.
