| Learning Outcomes |
PO |
MME |
| The students who succeeded in this course: |
|
|
| LO-1 |
have the knowledge of the basic methods of theoretical mechanics |
PO-1 To demonstrate their knowledge of the basic scientific principles and fundamental concepts and skills of the field.
|
Examination
|
| LO-2 |
Gain the ability of solving of various mechanical problems using the methods of theoretical mechanics. |
PO-2 To solve problems utilizing scientific reasoning quantitative methods, and acquired knowledge and skills.
|
Examination
|
| LO-3 |
Can solve the equations of motion and physics problems using the Lagrange formulation. |
PO-5 To connect physical principals and laws to problems.
|
Examination
|
| LO-4 |
Can solve the equations of motion and physics problems using the Hamilton formulation. |
PO-5 To connect physical principals and laws to problems.
|
Examination
|
PO: Programme Outcomes
MME:Method of measurement & Evaluation |
| Course Contents |
| One body-particle mechanics, conservative forces, mechanics of many body systems, energy and angular momentum conservation, D'Alembert principle and Lagrange equations, Hamilton principle, conservation theorems and symmetry properties, the central force problem of two-body, scattering problem, Kepler problem, independent coordinates of a solid body, Hamilton equations of motion |
| Weekly Course Content |
| Week |
Subject |
Learning Activities and Teaching Methods |
| 1 |
One body-particle mechanics, conservative forces |
Questions and answers |
| 2 |
Mechanics of many body systems, energy and angular momentum conservation |
Questions and answers |
| 3 |
D'Alembert principle and Lagrange equations |
Questions and answers |
| 4 |
Hamilton principle |
Questions and answers |
| 5 |
Conservation theorems and symmetry properties |
Questions and answers |
| 6 |
The central force problem of two-body |
Questions and answers |
| 7 |
Orbits, scattering problem, Kepler problem |
Questions and answers |
| 8 |
mid-term exam |
|
| 9 |
Independent coordinates of a solid body, orthogonal transformations |
Questions and answers |
| 10 |
Euler angles, Cayley-Klein parameters, infinitesimal rotations |
Questions and answers |
| 11 |
Equations of motion on rigid body |
Questions and answers |
| 12 |
Hamilton equations of motion, Legendre transformation |
Questions and answers |
| 13 |
Hamilton's equations from the principle of an exchange, the principle of minimum impact |
Questions and answers |
| 14 |
Galileo transformations, coordinate systems |
Questions and answers |
| 15 |
Canonical transformation equations, Liouville's theorem |
Questions and answers |
| 16 |
final exam |
|
| Recommend Course Book / Supplementary Book/Reading |
| 1 |
Klasik Mekanik, Herbert Goldstein |
| 2 |
Klasik Mekanik, Prof. Dr. Emine Rizaoglu, Yrd. Doç. Dr. Naci Sünel |
| 3 |
Klasik Mekanik, T. W. Kibble F. H. Berkshire Çeviren: Kemal Çolakoglu |
| Required Course instruments and materials |
| 1. Klasik Mekanik, Herbert Goldstein
2. Klasik Mekanik, Prof. Dr. Emine Rizaoglu, Yrd. Doç. Dr. Naci Sünel
3. Klasik Mekanik, T. W. Kibble F. H. Berkshire Çeviren: Kemal Çolakoglu |
