| Course Type | Elective Course |
|---|
| Course Level | Master's Degree With Thesis |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 10 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- Learn scientific computing basic principles in engineering problems.
- Have an ability for commenting on error analysis and their results.
- Formulate measurements that depend on physiological parameters in biomedical field.
- Applying course units in homeworks on MATLAB or similar programs.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Interpolation and polynomial approximation, the divided differences, Hermit interpolation, polynomial numerical differentivation, curve fifting, Interpolation by spline functions, Richardson's extrapolation, Numerical Integraiton, Romberg integration, finite element method, finite difference method, boundary element method. MATLAB applications. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Introduction. Approximations in scientific computing, computer arithmetics |
|
2nd Week |
Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations |
|
3rd Week |
Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations |
|
4th Week |
Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations |
|
5th Week |
Linear Least Squares Problems and Properties. Problem transformation, orthogonalization methods, singular value decomposition |
|
6th Week |
Linear Least Squares Problems and Properties. Problem transformation, orthogonalization methods, singular value decomposition |
|
7th Week |
Eigenvalue Problems. Eigenvalues nad eigenvectors, properties, problem transormations, eigenvalue and eigenvector calculations |
|
8th Week |
Midterm Exam |
|
9th Week |
Eigenvalue Problems. Eigenvalues nad eigenvectors, properties, problem transormations, eigenvalue and eigenvector calculations |
|
10th Week |
Nonlinear Equations.Properties of nonlinear system, convergense rate, stopping criteria, nonlinear euations in one plane. |
|
11th Week |
Nonlinear Equations.Properties of nonlinear system, convergense rate, stopping criteria, nonlinear euations in one plane. |
|
12th Week |
Optimization. Optimization problems, properties, optimization in one plane, unconstrained optimization, constrained optimization |
|
13th Week |
Optimization. Optimization problems, properties, optimization in one plane, unconstrained optimization, constrained optimization |
|
14th Week |
Interpolation and Properties. Polinomial interpolation, piecewise polinomial interpolation |
|
| Recommended or Required Reading | (1)Scientific Computing, An Introductory Survey, Micheal T. Heath, 1997, McGraw-Hill Companies Inc.
(2)Steven C. Chapra ve Raymond P. Canale, Numerical Methods for Engineers (4th Edt.), 2002, McGraw-Hill Companies Inc
|
|---|
| Planned Learning Activities and Teaching Methods |
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
1 |
20 |
| Total(%) |
|
55 |
| Contribution of In-term Studies to Overall Grade(%) |
|
55 |
| Contribution of Final Examination to Overall Grade(%) |
|
45 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
72 |
72 |
| Preparation for Quiz |
1 |
12 |
12 |
| 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 |
| Total Work Load | 287 |
| Total Work Load / 30 (h) | 9.56 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
