| Course Type | Elective Course |
|---|
| Course Level | Doctorate Of Science |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 10 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- Can be made biomedical application of curve fitting and interpolation
- Knowledge about numerical derivative and integral methods and its biomedical application
- Differential equation solving
- Can be made finite Difference and Finite Element Methods application
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | Computer in biomedical engineering
Signal processing
Any MATLAB experience |
|---|
| Course Description | 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 |
|
| Recommended 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 Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| 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 Work Load | 299 |
| Total Work Load / 30 (h) | 9.96 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
