Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Classical Mechanics FIZ708 Turkish Compulsory 3 + 0 3.0 7.5
Prerequisite Courses
Course Level Graduate
Mode of delivery Lecturing
Course Coordinator Doç. Dr. Ahmet DEMİR
Instructor(s)
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
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
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
*Midterm and final exam dates are not specified in the 14-week course operation plan. Midterm and final exam dates are held on the dates specified in the academic calendar with the decision of the University Senate.
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • • L.D. Landau, E.M. Lifshitz, Mechanics, Pergamon Press, 1960. • H. Goldstein, Classical Mechanics, Addison-Wesley, 1980.