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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS PHY 5134 ANALITICAL MECHANICS ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR HASAN KARABIYIK

Offered to

PHYSICS PHYSICS

Course Objective

To be able to gain calculation techniques and underlying main principles in analytical mechanics.

Learning Outcomes of the Course Unit

1   To be able to contrasted Newtonian mechanics with Langrangian and Hamiltonian mechanics. 2   To be able to investigate motion of celestial bodies 3   To be able to treat rigid body motion in both kinematical and dynamical point of view 4   To be able to apply Lagrange equations of motion 5   To be able to apply Hamilton equations of motion 6   To be able to perform vector and tensor calculus in solving mechanical problems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Matrices, Vectors and Vector Calculus 2 Newton Mechanics-Single Particle 3 Newton Mechanics-Many Body Problems 4 Gravitation 5 Calculus of variations 6 Lagrange's Equation of Motions 7 Hamilton's Equation of Motions 8 Midterm 9 Celestial Bodies 10 Scattering 11 Rigid Body Kinematics 12 Rigid Body Dynamics 13 Small Oscillations 14 Hamilton-Jacobi Theory 15 Canonical Transformations

Recomended or Required Reading

1-Classical Dynamics of Particles and Systems, Stephen T. Thornton ve Jerry B. Marion, Cengage Learning, 2003. 2-Classical Mechanics, H. Goldstein, C. Poole and J. Safko, Addison Wesley, 2002.

Planned Learning Activities and Teaching Methods

1-Lectures 2-Problem solution sessions

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

1-It is mandatory to participate 70% of the courses. 2-When needed, homeworks can be used to add midterm scores of the students.

Contact Details for the Lecturer(s)

hasan.karabiyik@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Preparations before/after weekly lectures 14 6 84 Preparation for midterm exam 1 20 20 Preparation for final exam 1 30 30 Preparing assignments 13 4 52 Midterm 1 2 2 Final 1 2 2 TOTAL WORKLOAD (hours) 190

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 LO.1 5 5 5 4 1 2 3 2 1 2 LO.2 5 5 5 1 1 1 1 1 1 1 LO.3 5 4 5 1 1 1 1 1 1 1 LO.4 5 5 5 2 1 1 1 4 2 1 LO.5 5 5 5 3 1 2 1 4 1 1 LO.6 5 5 5 3 1 4 1 1 1 1