TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Master's Degree With Thesis
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) will have general information on basic numerical analysis.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	There is no recommended optional programme component for this course.
COURSE DEFINITION	Problems of NA, Linear Spaces, Linear Operators on Normed Spaces, Approximation Theory, Nonlinear Equations and Their Solution by Iteration, Finite Difference Method, Sobolev Spaces, Variational Formulations of Elliptic Boundary Value Problems, The Galerkin Method and Its Variants, Finite Element Analysis, Elliptic Variational Inequalities and Their Numerical Approximations, Numerical Solution of Fredholm Integral Equations of the Second Kind, Boundary Integral Equations
COURSE CONTENTS	WEEK TOPICS 1st Week Introduction,finite floating point arithmetic,catastrophic cancellation,chopping and rounding errors. 2nd Week Solution of nonlinear equations;bisection method,secant method, Newton's method,fixed point iteration,Muller's method. 3rd Week Numerical optimization;Method of goldensection search,Newton's method optimization. 4th Week Solutions of linear algebraic equations. 5th Week LU-decomposition,norms and errors. 6th Week Condition numbers,iteration. 7th Week Newton's method for systems , computer implementation. 8th Week MIDTERM 9th Week Interpoletion;Lagrange interpolation,Newton interpolation,inverse interpolation. 10th Week Numerical Integration;trpezoidal rule Simpson's rule. 11th Week Extrapolation , Gaussian quadrature. 12th Week Numerical solution of ordinary differential equations. 13th Week Euler's method, Runge-Kutta method, multi-step methods, 14th Week Rates of conveges, global errors,algebric methods for boundary value problems,computer implementation.
RECOMENDED OR REQUIRED READING	Applied Numerical Analysis,Addison ,C.F.Gerald and P. O. Wheatley , Addison Wesley,1994
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving,Other
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Assignment 1 10 Project 1 10 Total(%) 50 Contribution of In-term Studies to Overall Grade(%) 50 Contribution of Final Examination to Overall Grade(%) 50 Total(%) 100
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No