FACULTY OF ARTS AND SCIENCES

Department of Physics

PHYS 309 | Course Introduction and Application Information

Course Name
Analytical Mechanics
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
PHYS 309
Fall/Spring
2
2
3
5

Prerequisites
None
Course Language
English
Course Type
Elective
Course Level
First Cycle
Mode of Delivery face to face
Teaching Methods and Techniques of the Course Problem Solving
Q&A
Lecture / Presentation
Course Coordinator -
Course Lecturer(s)
Assistant(s)
Course Objectives The main objective of this course is to introduce classical mechanics in a mathematically advanced perspective using the so called Lagrange and Hamilton pictures so that it can also be related to quantum mechanics.
Learning Outcomes The students who succeeded in this course;
  • write down Lagrange equations for any mechanical system.
  • determine the effects of conservation laws and constraints to the Lagrange equations.
  • solve Lagrange equations directly analytically or numerically.
  • obtain Hamiltonian equations by using Legendre transformation.
  • apply Hamiltonian-Jacobi theory to mechnaics problems.
Course Description A new perspective for classical mechanics, which is easier to connect to quantum mechanics, will be introduced using new mathematical techniques,such as Lagrange and Hamilton approaches.

 



Course Category

Core Courses
Major Area Courses
X
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Introduction and fundamental concepts John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 1. ISBN: 9781891389221
2 Review of Newtonian mechanics John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 1. ISBN: 9781891389221
3 Calculus of variations John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 6. ISBN: 9781891389221
4 Lagrange equations: constrained and unconstrained motion John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 7. ISBN: 9781891389221
5 Applications of Lagrange equations John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 7. ISBN: 9781891389221
6 Review of Lagrangian mechanics and Midterm Exam 1 John R. Taylor, Classical Mechanics (University Science Booksi 2005). ISBN: 9781891389221
7 Conservation laws John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 7. ISBN: 9781891389221
8 Two-body central force problems John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 8. ISBN: 9781891389221
9 The Kepler problem John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 8. ISBN: 9781891389221
10 Hamilton's equations John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 13. ISBN: 9781891389221
11 Applications of Hamilton's equations John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 13. ISBN: 9781891389221
12 Review of Hamiltonian mechanics and Midterm Exam 2 John R. Taylor, Classical Mechanics (University Science Booksi 2005). ISBN: 9781891389221
13 Canonical transformations John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 13. ISBN: 9781891389221
14 Phase space and an overview of Liouville's theorem John R. Taylor, Classical Mechanics (University Science Booksi 2005). Chapter 13. ISBN: 9781891389221
15 Review of the semester
16 Final Exam

 

Course Notes/Textbooks

John R. Taylor, Classical Mechanics (University Science Booksi 2005). ISBN: 9781891389221

Suggested Readings/Materials

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
10
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
2
50
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
3
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical Course Hours
(Including exam week: 16 x total hours)
16
2
32
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
2
32
Study Hours Out of Class
14
3
42
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
2
12
24
Final Exam
1
20
20
    Total
150

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able master and use fundamental phenomenological and applied physical laws and applications,

X
2

To be able to identify the problems, analyze them and produce solutions based on scientific method,

X
3

To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions,

X
4

To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably,

5

To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License,

6

To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in,

7

To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance,

8

To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results,

9

To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life,

10

To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively.

11

To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1).

12

To be able to speak a second foreign at a medium level of fluency efficiently

13

To be able to relate the knowledge accumulated throughout the human history to their field of expertise.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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