Information Package / Course Catalogue
| Course Code | : MCE521 |
| 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 |
Teaching Variational Methods in Engineering in graduate level and giving the ability of using them in engineering and mathematical physic problems
Problems of minimization and maximization. Functionals. Classical problems in calculus of variations, Euler equations, Variational notation, Natural boundary conditions, Hamilton's principle, Lagrange equations. Transformation of boundary value problems into the problem of calculus of variation. Direct methods; Ritz method, Galerkin method, Kantorovich method, Weighted residual method. (Applications on Fluids, Solids and Structural Engineering problems.)
| Prof. Ebru DURAL |
| 1. | formulate variational problems |
| 2. | analyse problems to deduce key properties of system behaviour |
| 3. | Having the knowledge about Variational Methods İn Engineering in graduate level |
| 4. | Having the ability of using Variational Methods in calculation of eigenvalues and eigenfunctions of mathematical problems in engineering |
| 5. | Solving simple initial boundary value problems by using several variable calculus. |
| 1. | Methods of Applied Mathematics, F. B. Hildebrand, 2nd edition, 1965 Prentice-Hall, Inc. |
| 2. | Energy and Variational Methods in Applied Mechanics, J. N. Reddy, 1984 |
| 3. | Energy Methods in Applied Mechanics, H. L. Langhaar, 1962 |
| 4. | Solid Mechanics: A Variational Approach, Clive L. Dym, Irving H. Shames, 1973 McGraw-Hill |
| 5. | Foundations of Solid Mechanics, Y. C. Fung, 1965 Prentice-Hall, Inc. |
| 6. | Mathematics of Physics and Modern Engineering, Sokolnikoff and Redheffer, 1958 McGraw-Hill. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 2 | %40 |
| Final Examination | 1 | %40 |
| Assignment | 4 | %20 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 3 | 3 | 84 |
| Assignment | 4 | 0 | 6 | 24 |
| Midterm Examination | 2 | 26 | 3 | 58 |
| Final Examination | 1 | 31 | 3 | 34 |
| 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 | |
OÇ-1 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 |
OÇ-2 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 5 | 4 | 5 | 4 |
OÇ-3 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 5 | 5 | 4 | 4 | 4 | 5 |
OÇ-4 | 4 | 5 | 4 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 |
OÇ-5 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 5 | 4 | 5 | 4 |