Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Associate Prof. Dr. Oktay CEBECİOĞLU

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Students successfully completing this course will be able to understand concepts at the advanced graduate level in classical mechanics and will be able to apply this knowledge.
2) Students should be able to use the calculus of variations to characterize the function that extremizes a functional.
3) The students will be able to Formulate and solve classical mechanics problems using Lagrangian and Hamiltonian methods.
4) Students should be able to solve a problem which includes holonomic constraints and compute the forces of constaint.
5) Students should be able to use symmetries of a system to identify conserved quantities.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7	8	9
Learning Outcomes
	1	Middle	Middle	Middle	Middle	Middle	Middle	Middle	Middle	Middle
	2	Middle	Middle	High	High	Middle	High	High	High	High
	3	High	Middle	Middle	High	Middle	High	Middle	Middle	High
	4	Low	Middle	High	Middle	Middle	Low	Middle	Middle	Middle
	5	High	No relation	Low	Low	High	Middle	Middle	High	High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

yok

Course Contents

Survey of the elementary principles.Variational principles and Hamilton's principle.Lagrange's Theory.Langrange's equation of motion.Lagrange multipliers.Central forces and two body problem.Equation of motion in non-inertial reference frame.The rigid body equation of motion.Euler's theorem.Euler equation of motion.Motion of the heavy symmetrical top.Small oscillations theory.Hamilton's theory.Canonical equations of motion.Canonical transformations.Generating functions.Poisson brackets.Hamilton-Jacobi Theory.Hamilton-Jacobi equation.Action-angle variables.Canonical perturbation theory.Relativistic mechanics.Lagrangian and Hamiltonian formulation of continuous systems and fields.

Weekly Schedule

1) Survey of the elementary principles
2) Variational principles and Hamilton's Principle
3) Lagrange's theory.Lagrange's equation.Lagrange undetermined multipliers.
4) Central forces and two-body problem
5) Central forces and two-body problem
6) Equations of motion in noninertial reference frame
7) midterm
8) Motion of rigid body.Euler's theorem.Euler's equation of motion.Motion of symmetrical top
9) Small Oscillation Theory
10) Hamilton's theory ,Canonical equation of motion
11) Canonical transformation.Generating functions.Poisson's brackets.
12) Hamilton-Jacobi Theory.Hamilton-Jacobi equation
13) Action-angle variables . Canonical Perturbation Theory
14) Relativistic Mechanics
15) The Lagrangian and Hamiltonion formulation of continuous systems and fields
16) The Lagrangian and Hamiltonion formulation of continuous systems and fields

Planned Learning Activities and Teaching Methods

1) Lecture
2) Discussion
3) Group Study
4) Problem Solving

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

40%

		Number	Percentage
Semester Studies	Midterm Examination	1	99%
Semester Studies	Other(s)	14	1%

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required

Course Unit Title	Course Unit Code	Type of Course Unit	Level of Course Unit	Year of Study	Semester	ECTS Credits
Advanced Classical Mechanics	FIZ506	Elective	Master's degree	1	Fall	8