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) | -
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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
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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
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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 |
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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 |
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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(%) |
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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 |
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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 |
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Total Workload / 30 | | | 9,96 |
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ECTS Credits of the Course | | | 10 |
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LANGUAGE OF INSTRUCTION | Turkish |
WORK PLACEMENT(S) | No |
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