Education Information System | Duzce University

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
Classical Mechanics	FIZ708		3 + 0	3.0	7.5

Prerequisites	None

Language of Instruction	Turkish
Course Level	Graduate
Course Type
Mode of delivery	Lecturing
Course Coordinator	Assoc. Prof. Dr. Ahmet DEMİR
Instructor(s)
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

Weekly Topics (Content)

Week	Topics	Learning Methods
1. Week	Lagrange formalism: D'alambert rule and Lagrange’s equations of motion
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
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
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
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
5. Week	Solid structures; translation and rotations, Euler angles, kinematics of rotation
6. Week	Angular momentum and inertial tensor, Euler’s equations of motion
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
7. Week	Small oscillations: one-dimensional free and forced oscillations, oscillation of multi-dimensional systems and some applications
8. Week	MIDTERM EXAM
8. Week	MIDTERM EXAM
9. Week	Hamilton formalism: Legendre transformations and Hamilton’s equations of motion
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
10. Week	Curvilinear coordinates and constants of motion, principle of least action, Poisson parenthesis formulation
11. Week	Canonical transformations, Equations of canonical transformation
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
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
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
14. Week	Hamilton-Jacobian Method: Hamilton-Jacobian equation, action and angle variables

Recommended Sources

• L.D. Landau, E.M. Lifshitz, Mechanics, Pergamon Press, 1960. • H. Goldstein, Classical Mechanics, Addison-Wesley, 1980.
• L.D. Landau, E.M. Lifshitz, Mechanics, Pergamon Press, 1960. • H. Goldstein, Classical Mechanics, Addison-Wesley, 1980.