TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	4
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Approximate functions using Taylor polynomials, calculate upper bounds for error 2) Can perform polynomial interpolation for curve fitting using Lagrange polynomials. 3) Solve the equation f(x)=0 using the interval halving algorithm.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	Analysis I-II-III
COURSE DEFINITION	The concept of error, Definitions of absolute and relative error; Solutions of nonlinear equations, Halving method, Newton's method, Chord method, Fixed points and Functional iteration, Solutions of systems of linear equations, Matrix algebra, Gauss elimination method, Pivoting, LU factorization; Function approximations, Polynomial interpolation, Divided differences, Taylor approximation, Least squares method.
COURSE CONTENTS	WEEK TOPICS 1st Week Mathematical prerequisites: Limits, continuity, differentiability 2nd Week Taylor series 3rd Week Difference equations 4th Week Computer arithmetic, Error analysis 5th Week Finding equation roots; Bisection method 6th Week Newton's method, Secant method 7th Week Fixed point solutions 8th Week Midterm exam 9th Week Polynomial interpolation 10th Week Taylor polynomials, Divided differences 11th Week Taylor polynomials, Divided differences 12th Week Hermite interpolation 13th Week Hermite interpolation 14th Week Least squares method
RECOMENDED OR REQUIRED READING	Cheney,W.,-Kincaid,D., Numerical Mathematics and Computing,Brooks,1985 Cheney,W.,-Kincaid,D., (Tercüme) Nümerik Analiz, Gazi Kitabevi Yayınları, 2011 Yakowitz,S., An Introduction to Numerical Computations, Macmillan, 1989
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Quiz 2 10 Total(%) 50 Contribution of In-term Studies to Overall Grade(%) 50 Contribution of Final Examination to Overall Grade(%) 50 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 2 4 8 Individual or group work Preparation for Final exam 7 3 21 Course hours 13 3 39 Preparation for Midterm exam 7 4 28 Laboratory (including preparation) Final exam 1 2 2 Homework 3 3 9 Total Workload 109 Total Workload / 30 3,63 ECTS Credits of the Course 4
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No