TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	2
SEMESTER	Fourth Term (Spring)
NUMBER OF ECTS CREDITS ALLOCATED	4
NAME OF LECTURER(S)	Assistant Professor Bedi Cenk Balçık
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Ability to evaluate complicated mechanical problems numerically. 2) Solving set of linear and non linear equations of mechanical problems numerically. 3) Determining characteristics and behaviors of test data taken from the experiments of mechanical systems. 4) To find a approximate solution to mechanical problems involving complicated functions by the method of using simplified functions. 5) To gain experience on numerically analyzing and solving the problems having integration and differentiation terms that are impossible to solve analytically.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	Yes(MATH209)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
COURSE DEFINITION	Modeling, Truncation and rounding errors. Taylor series. Roots of equations: Bracketing and Open methods. Matrices. Solutions of linear algebraic equations; Gauss elimination and decomposition methods. Special matrices and methods for matrix inversion. Solutions of nonlinear system of equations. Curve fitting; least square approximation, Interpolation. Numerical differentiation and integration.
COURSE CONTENTS	WEEK TOPICS 1st Week 1st Week Introduction to numerical analysis, iterations, errors, decimal places 2nd Week 2nd Week Roots of equations, bracketing methods 3rd Week 3rd Week Roots of equations, open methods 4th Week 4th Week Solutions of linear algebraic equations, Gauss elimination 5th Week 5th Week Solutions of linear algebraic equations, LU decomposition 6th Week 6th Week Solutions of nonlinear algebraic equations, Jacobian matrice,Gauss-Seidel 7th Week 7th Week Numerical solution of eigenvalue and eigenvector problems, Power method 8th Week 8th Week Least square approximation 9th Week 9th Week Interpolation, Newton and Lagrange polynomial 10th Week 10th Week Numerical differentiation 11th Week 11th Week Numerical integration, trapezoid ve Simpsons methods 12th Week 12th Week Method of undetermined coefficients, Gaussian Quadrature 13th Week 13th Week Numerical solutions of ordinary differential equations, initial values 14th Week 14th Week Numerical solutions of ordinary differential equations, boundary values
RECOMENDED OR REQUIRED READING	S.C. Chapra, R.P. Canale, Mühendisler İçin Sayısal Yöntemler J.D. Hoffman, Numerical Methods for Engineers and Scientists
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Presentation
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 35 Assignment 1 5 Quiz 1 10 Attendance 1 5 Total(%) 55 Contribution of In-term Studies to Overall Grade(%) 55 Contribution of Final Examination to Overall Grade(%) 45 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 4 1 4 Individual or group work 14 ,5 7 Preparation for Final exam 1 12 12 Course hours 14 4 56 Preparation for Midterm exam 1 8 8 Laboratory (including preparation) Final exam 1 2,5 2,5 Homework 4 8 32 Quiz 4 ,5 2 Total Workload 125,5 Total Workload / 30 4,18 ECTS Credits of the Course 4
LANGUAGE OF INSTRUCTION	English
WORK PLACEMENT(S)	No