
| Course Code | : MME623 |
| Course Type | : Area Elective |
| Couse Group | : Third Cycle (Doctorate Degree) |
| Education Language | : English |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
The objectives of this course are to enable the students to understand analytical solution methods for linear ordinary and partial differential equations. This course will enable graduate students to solve Bessel, Gamma,Laguerre functions and Legendre polynomials.
Ordinary differential equations. Series solutions of ordinary differential equations. Method of Frobenius. Fourier series. Boundary conditions. Partial differential equations. Seperation of variables. Bessel, Gamma,Laguerre functions. Legendre polynomials.
| 1. | Be able to find analytical solutions of linear ordinary differential equations |
| 2. | Be able to find analytical solutions of partial differential equations |
| 3. | Be familiar with Fourier series |
| 4. | Be able to solve Bessel, Gamma,Laguerre functions |
| 5. | Be familiar wiht Legendre polynomials |
| 1. | Analytical Methods in Engineering by J. B. Doshi |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 4 | %20 |
| Midterm Examination | 2 | %40 |
| Final Examination | 1 | %40 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 3 | 4 | 98 |
| Assignment | 7 | 0 | 5 | 35 |
| Individual Work | 7 | 3 | 3 | 42 |
| Midterm Examination | 1 | 9 | 2 | 11 |
| Final Examination | 1 | 12 | 2 | 14 |
| TOTAL WORKLOAD (hours) | 200 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | |
OÇ-1 | 3 | 3 | 3 | 3 | 4 | 3 | 4 | 3 | 3 | 4 | 3 | 3 | 4 | 5 |
OÇ-2 | 4 | 4 | 4 | 3 | 5 | 4 | 3 | 4 | 3 | 5 | 4 | 4 | 3 | 4 |
OÇ-3 | 3 | 3 | 5 | 5 | 5 | 4 | 3 | 5 | 5 | 5 | 4 | 3 | 4 | 5 |
OÇ-4 | 5 | 4 | 5 | 4 | 4 | 4 | 5 | 5 | 4 | 4 | 4 | 5 | 4 | 5 |
OÇ-5 | 5 | 4 | 3 | 3 | 4 | 5 | 5 | 4 | 3 | 3 | 4 | 5 | 5 | 4 |