TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	3
SEMESTER	Fifth Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED	5
NAME OF LECTURER(S)	Assistant Professor Elmas Burcu Mamak Ekinci
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Learn the basic concepts and techniques of numerical analysis. 2) Evaluate the possible calculation errors. 3) Learn their knowledge about nonlinear equations, numerical solution methods of linear equation systems. 4) Learn the techniques of interpolation and approximation with polynomials. 5) Apply the method of curve fitting by least squares method. 6) Be able to use numerical methods to solve optimization problems.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	Yes(MAT151)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Summary of some topics of mathematical analysis. Taylor's theorem. Error analysis. Error propagation. Numerical solution methods of nonlinear algebraic equations. Numerical solution methods of linear equation systems. Gaussian elimination method. Iterative Newton's method for solving nonlinear systems of equations. Interpolation and approximation with Polynomials. Lagrange and Newton polynomials. Curve fitting using the least squares method. Numerical differentiation and integration.
COURSE CONTENTS	WEEK TOPICS 1st Week Course introduction, review of some topics from calculus and introduction to numerical analysis 2nd Week Installing the R program, introduction to the program and basic operations. 3rd Week Error analysis, taylor series. 4th Week Solving Nonlinear equations. 5th Week Solving Nonlinear equations. 6th Week Solving a System of Linear Equations 7th Week Solving a System of Linear Equations 8th Week Midterm exam 9th Week Curve fitting 10th Week Least Square Regression 11th Week Interpolation 12th Week Lagrange Interpolation 13th Week Numerical Differentiation and Integration 14th Week Review
RECOMENDED OR REQUIRED READING	1. Chapra, Steven C., Canale Raymond P. (2017). Yazılım ve Programlama Uygulamalarıyla Mühendisler için Sayısal Yöntemler (4. Basımdan çeviri). Literatür Yayıncılık. 2. Bloomfield, V.A. (2014). Usign R for Numerical Analysis in Science and Engineering. A Chapman & Hall Book. 3. Howard, J.P, (2017) Computational Methods for Numerical Analysis with R. A Chapman & Hall Book. 4. Kincaid, D., Cheney, W. (2012). Nümerik Analiz-Bilimsel Hesaplama Matematiği (Üçüncü Baskıdan Çeviri). Gazi Kitabevi. 5. Tezer Sezgin, M., Bozkaya C. (2018). Numerical Analysis. ODTÜ Basım İşbirliği.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving,Practice
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Assignment 2 10 Quiz 3 20 Total(%) 60 Contribution of In-term Studies to Overall Grade(%) 60 Contribution of Final Examination to Overall Grade(%) 40 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 1,5 1,5 Preparation for Quiz 3 4 12 Individual or group work Preparation for Final exam 1 30 30 Course hours 14 5 70 Preparation for Midterm exam 1 25 25 Laboratory (including preparation) Final exam 1 1,5 1,5 Homework 2 5 10 Quiz 3 ,8 2,4 Total Workload 152,4 Total Workload / 30 5,08 ECTS Credits of the Course 5
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No