Math 550-1 Numerical Analysis -Masters program

 

References  :

 

1.       Numerical  methods using  Matlab by Lindfield and Penny

2.       Elementary theory and application of numerical analysis by Moursund and Duris

3.       A first course in Numerical analysis

Instructor :  Dr. Abir Alharbi

Text Book: Numerical methods for nonlinear equations and optimization by Dennis

Office 1 : building 21/room 102  : building 5/ room 54

Course grading:                             30%   Midterm

30%   Assignments using  Matlab

                                                          40%   Final exam

Hours:   Sun  &  Tuesday 11-1

 Location Building 5 room :G019 

  Midterm : TBA

Final:   TBA

Office hours: Sunday and  tuesday    12-2

sylubus :Floating point arithmetic and rounding errors, well-posed computation and convergence. Numerical methods for solving nonlinear equations with one variable: bisection, regula-falsi, functional iterative, Newton, secant and Aitken 2  . Error and convergence analysis for these methods, Special numerical methods for solving polynomials: evaluation of polynomials and their derivatives, Matrix and vector norms, convergence of vectors, Method for solvingsystem of nonlinear equations: Fixed point, Newton, finite difference Newton, quasi-Newton, steepest descent, Error and convergence analysis for these methods  .