| 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;
- An ability of numerical solution of ordinary and partial differential equations in the engineering
- An ability to apply knowledge of mathematics, science, and engineering
- An ability to identify, formulate, and solve engineering problems
- An ability to use the modern engineering techniques
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | This course is to give knowledge on partial differential equations; Laplace, diffusion and wave equations; Bessel and Legendre functions; integral equations; complex variable functions; complex integral calculations; series expansions and residual theorem. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Introduction |
|
2nd Week |
Differential equations |
|
3rd Week |
Partial differential equations |
|
4th Week |
Laplace equations |
|
5th Week |
Diffusion and wave equations |
|
6th Week |
Bessel functions |
|
7th Week |
Legendre functions |
|
8th Week |
Midterm |
|
9th Week |
Integral equations |
|
10th Week |
Functions with complex variable |
|
11th Week |
Angular conservative conversions |
|
12th Week |
Complex integral |
|
13th Week |
Series expansions |
|
14th Week |
Residual theorem |
|
| Recommended or Required Reading | FARLOW S.J., Partial Differential Equations for Scientists and Engineers, Dover Books on Advanced Mathematics
STRAUSS W., Partial Differential Equations: An Introduction,
ASMAR N.H., Partial Differential Equations and Boundary Value Problems with Fourier Series
|
|---|
| Planned Learning Activities and Teaching Methods |
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
1 |
5 |
| Quiz |
1 |
15 |
| Attendance |
1 |
5 |
| 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 |
2 |
2 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
16 |
8 |
128 |
| Preparation for Final exam |
6 |
7 |
42 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
8 |
7 |
56 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
4 |
8 |
32 |
| Total Work Load | 304 |
| Total Work Load / 30 (h) | 10.13 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
