Information Package / Course Catalogue
Analytical Mechanics
Course Code: FZK605
Course Type: Required
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To teach the fundamentals of classical mechanics at an advanced level.

Course Content

To teach lagrange Equatios, To teach hamilton Equations, To teach conservation Laws, Integration of equations of motion, To teach scattering theory, to explain consept of classical fields.

Name of Lecturer(s)
Prof. Aytaç Gürhan GÖKÇE
Learning Outcomes
1.To be able to write the Lagrange equations of motion of giving system
2.To be able to analyze the conservation laws and solve problems by using them.
3.To be able to analyze the energy, momentum, angular momentum center of mass concepts
4.To be able to integrate the equations of motions and express the importance of them in physics.
5.To be able to understand the importance of field concept in physics.
Recommended or Required Reading
1.Classical Mechanics. H. Goldstein, C.P.Poole and J.L.Safko Edinburg 2014
2.Classical Mechanics. T.W. Kibble, F.H. Berkshire London 2004
Weekly Detailed Course Contents
Week 1 - Theoretical
Analysis of Fundamental Principles.
Week 1 - Preparation Work
Movement in one dimension, movement in two dimensions subject repetition
Week 2 - Theoretical
Variaitonal Principle and Lagrange Equations of Motion.
Week 2 - Preparation Work
Reading about the Principle of Variation and Lagrange's equations
Week 3 - Theoretical
Central force problem.
Week 3 - Preparation Work
Serway Physics 1 topic review
Week 4 - Theoretical
Kinematics of rigid body motion.
Week 4 - Preparation Work
Serway Physics 1 topic review
Week 5 - Theoretical
Two-body problem.
Week 5 - Preparation Work
Serway Physics 1 topic review
Week 6 - Theoretical
Oscillations.
Week 6 - Preparation Work
Harmonic oscillator repetition
Week 7 - Theoretical
Equations of Motion of Hamilton.
Week 7 - Preparation Work
Newton's equations of motion topic review
Week 8 - Theoretical
Subject repetition (Midterm exam)
Week 8 - Preparation Work
Subject repetition
Week 9 - Theoretical
Special theory of relativity in classical mechanics.
Week 9 - Preparation Work
special relativity topic review
Week 10 - Theoretical
Canonical Transformations.
Week 10 - Preparation Work
Reading about canonical transformations
Week 11 - Theoretical
Canonical Transformations.
Week 11 - Preparation Work
Reading about canonical transformations
Week 12 - Theoretical
Hamilton-Jacobi theorem.
Week 12 - Preparation Work
Having knowledge about the Hamilton-Jacobi theory
Week 13 - Theoretical
Canonical Perturbation Theorem.
Week 13 - Preparation Work
reading about perturbation
Week 14 - Theoretical
Introduction to Lagrange and Hamilton formulation of continuous systems and fields.
Week 14 - Preparation Work
Lagrange and Hamilton topic review
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%50
Assignment2%20
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory143384
Assignment220244
Midterm Examination126228
Final Examination142244
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
OÇ-1
5
5
2
4
3
3
2
4
OÇ-2
5
4
3
4
4
4
2
4
OÇ-3
5
4
4
4
3
4
2
3
OÇ-4
5
4
4
4
3
4
2
3
OÇ-5
5
4
5
3
4
4
2
4
Adnan Menderes University - Information Package / Course Catalogue
2026