| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| - | FIZ 511 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. Ahmet DEMİR |
| Instructors | |
| Assistants | |
| Goals | Learning the advances methods of classical mechanics which is one of basic courses of physics |
| Course Content | Lagrange formalism: D'alambert rule and Lagrange’s equations of motion,Short summary of variational calculations, Hamilton theorem and Lagrange’s equations of motion, constants of motion,Solid structures; translation and rotations, Euler angles, kinematics of rotation,Angular momentum and inertial tensor, Euler’s equations of motion,Small oscillations: one-dimensional free and forced oscillations, oscillation of multi-dimensional systems and some applications,Hamilton formalism: Legendre transformations and Hamilton’s equations of motion,Curvilinear coordinates and constants of motion, principle of least action, Poisson parenthesis formulation,Canonical transformations, Equations of canonical transformation Infinitely small canonical transformations in terms of Poisson parenthesis and laws of conversation, relation between angular momentum and Poisson parenthesis, Hamilton-Jacobian Method: Hamilton-Jacobian equation, action and angle variables |
| Learning Outcomes |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Lagrange formalism: D'alambert rule and Lagrange’s equations of motion | |
| 2. Week | Lagrange formalism: D'alambert rule and Lagrange’s equations of motion | |
| 3. Week | Short summary of variational calculations, Hamilton theorem and Lagrange’s equations of motion, constants of motion | |
| 4. Week | Short summary of variational calculations, Hamilton theorem and Lagrange’s equations of motion, constants of motion | |
| 5. Week | Solid structures; translation and rotations, Euler angles, kinematics of rotation | |
| 6. Week | Angular momentum and inertial tensor, Euler’s equations of motion | |
| 7. Week | Small oscillations: one-dimensional free and forced oscillations, oscillation of multi-dimensional systems and some applications | |
| 8. Week | MIDTERM EXAM | |
| 9. Week | Hamilton formalism: Legendre transformations and Hamilton’s equations of motion | |
| 10. Week | Curvilinear coordinates and constants of motion, principle of least action, Poisson parenthesis formulation | |
| 11. Week | Canonical transformations, Equations of canonical transformation | |
| 12. Week | Infinitely small canonical transformations in terms of Poisson parenthesis and laws of conversation, relation between angular momentum and Poisson parenthesis | |
| 13. Week | Infinitely small canonical transformations in terms of Poisson parenthesis and laws of conversation, relation between angular momentum and Poisson parenthesis | |
| 14. Week | Hamilton-Jacobian Method: Hamilton-Jacobian equation, action and angle variables |
| • L.D. Landau, E.M. Lifshitz, Mechanics, Pergamon Press, 1960. • H. Goldstein, Classical Mechanics, Addison-Wesley, 1980. |
