
| Course Code | : MME528 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : English |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
To instruct the students analytical solutions and real life applications of ordinary and partial differential equations in Mechanical Engineering
Basic concepts and classifying differential equations, First-order differential equations and their engineering applications, Second and higher order differential equations and engineering applications, Power series solutions of linear equations with variable coefficients, Systems of linear differential equations: Scalar and Matrix methods, Laplace transformations, Numerical methods for ordinary differential equations.
| 1. | 1. develop a clear understanding of differential, differential equation concepts and their physical meanings, |
| 2. | 2. learn the definitions and solution methods of the first order differential equations, |
| 3. | 3. apply the first order differential equation to related physics problems, |
| 4. | 4. learn the definitions and solution methods of the high order differential equations and apply them to the related physics problems, |
| 5. | 5. become familiar with the Laplace transforms use them to solve differential equations |
| 1. | 1. Stephen H. Saperstone, Introduction to Ordinary Differential Equations, Brooks/Cole Publishing Company, 1998. |
| 2. | 2. C. Henry Edwards and David E. Penney, Elementary Differential Equations, Prentice Hall, Inc., 2000. |
| 3. | 3. William E. Boyce and Richard C. DiPrima, Elementary Differential Equations and Boundary Value Problems, John Wiley & Sons, Inc., 1997. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 16 | 2 | 4 | 96 |
| Assignment | 5 | 0 | 3 | 15 |
| Term Project | 1 | 15 | 10 | 25 |
| Quiz | 4 | 4 | 1 | 20 |
| Midterm Examination | 1 | 15 | 2 | 17 |
| Final Examination | 1 | 20 | 2 | 22 |
| TOTAL WORKLOAD (hours) | 195 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | |
OÇ-1 | 5 | 4 | 3 | 5 | 4 | 3 | 5 | 4 | 5 | 4 | 5 | 5 |
OÇ-2 | 4 | 5 | 4 | 5 | 4 | 3 | 5 | 4 | 3 | 5 | 4 | 3 |
OÇ-3 | 5 | 4 | 5 | 4 | 3 | 5 | 4 | 5 | 5 | 3 | 5 | 4 |
OÇ-4 | 4 | 5 | 4 | 3 | 5 | 4 | 3 | 5 | 4 | 3 | 5 | 4 |
OÇ-5 | 5 | 4 | 4 | 5 | 4 | 3 | 5 | 4 | 5 | 5 | 3 | 5 |