| 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;
- 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 | Systems of linear equations, linear vector spaces, matrices and eigenvalue problems, multivariable differential calculations; ordinary differential equations, vectors in R3 space, vector field theory, Fourier series, integral transformations. Variational calculations. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Ordinary Differential Equations |
|
2nd Week |
Exact Differential Equations, Bernoulli equations |
|
3rd Week |
High Order lineer differential equations |
|
4th Week |
The Method of undetermined Coefficients, Variation of parameters |
|
5th Week |
Power Series |
|
6th Week |
Legendre Equations |
|
7th Week |
Frobenius Method, Bessel equations |
|
8th Week |
MIDTERM |
|
9th Week |
Laplace Transform |
|
10th Week |
Laplace Transform |
|
11th Week |
Lineer algebra |
|
12th Week |
Vektör Differantial Calculus |
|
13th Week |
Surface Integral |
|
14th Week |
Fourier Series |
|
15th Week |
Final Exam |
|
| Recommended or Required Reading | Kreyszig, Erwin, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons, 2006
Greenberg, Micheal D., Advanced Engineering Mathematics, 2nd Edition, Prentice Hall, 1998 |
|---|
| Planned Learning Activities and Teaching Methods |
- Questions/Answers
- Problem Solving
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
40 |
| Assignment |
1 |
5 |
| Quiz |
1 |
2 |
| Attendance |
1 |
3 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| 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 |
14 |
3 |
42 |
| Preparation for Final exam |
1 |
78 |
78 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
78 |
78 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
1 |
60 |
60 |
| 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 |
|---|
