TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Doctorate Of Science
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) Can be made biomedical application of curve fitting and interpolation 2) Knowledge about numerical derivative and integral methods and its biomedical application 3) Differential equation solving 4) Can be made finite Difference and Finite Element Methods application
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	Computer in biomedical engineering Signal processing Any MATLAB experience
COURSE DEFINITION	Interpolation: Polynomial interpolation. Divided differences, hermite interpolation, strip interpolation, approximation of functions. Numerical Derivative: Richardson extrapolation. Numerical integral: Gaussian square, Romber integration. Root finding methods: Bisection, Newton, Sekant methods, fixed point iteration. Finite element, finite difference and boundary element methods. Applications with MATLAB.
COURSE CONTENTS	WEEK TOPICS 1st Week Using Matlab 2nd Week Using Matlab 3rd Week Solution of systems of linear equations and interpolation 4th Week Solution of systems of linear equations and interpolation 5th Week Numerical derivative and integration methods 6th Week Euler, Range Kulta, Adams methods 7th Week Numerical derivative and integration applications 8th Week Midterm 9th Week Fourier Transforms 10th Week Finite Difference Methods 11th Week Finite Element Methods, Monte Carlo Methods 12th Week Partial differential equation solutions in biomedical engineering 13th Week Partial differential equation solutions in biomedical engineering 14th Week Project presentations
RECOMENDED OR REQUIRED READING	Numerical Methods in Biomedical Engineering Hardcover ? November 21, 2005 by Stanley Dunn Ph.D. (Author), Alkis Constantinides (Author) Numerical Methods for Engineers, Chapra et al.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Discussion,Presentation
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Assignment 1 10 Project 1 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 72 72 Preparation for Quiz 0 0 0 Individual or group work 2 3 6 Preparation for Final exam 1 24 24 Course hours 14 3 42 Preparation for Midterm exam 1 11 11 Laboratory (including preparation) 0 0 0 Final exam 1 96 96 Homework 1 24 24 Project 1 24 24 Total Workload 299 Total Workload / 30 9,96 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No