| 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;
- Numerically solve ordinary and partial differential equations encountered in engineering problems,
- Apply knowledge of engineering, science, and mathematics,
- Identify, formulate, and solve engineering problems,
- Use modern engineering techniques.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | In this course, the concepts of 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 are discussed. |
|---|
| 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 |
|
15th Week |
Course Review |
|
| Recommended or Required Reading | 1. Farlow S.J., Partial Differential Equations for Scientists and Engineers, Dover Books on Advanced Mathematics.
2. 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 |
- Lecture
- Questions/Answers
- Presentation
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
30 |
| Assignment |
1 |
10 |
| Quiz |
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 |
2 |
2 |
| Preparation for Quiz |
1 |
50 |
50 |
| Individual or group work |
14 |
3 |
42 |
| Preparation for Final exam |
1 |
80 |
80 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
60 |
60 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
1 |
20 |
20 |
| Quiz |
1 |
2 |
2 |
| Total Work Load | 300 |
| Total Work Load / 30 (h) | 10 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | English |
|---|
| Work Placement(s) | No |
|---|
