| 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 SolvingQ&ALecture / 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;
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| 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. |
| Related Sustainable Development Goals |   |
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| Core Courses | |
| Major Area Courses | X | |
| Supportive Courses | ||
| Media and Managment Skills Courses | ||
| Transferable Skill Courses |
| Week | Subjects | Required Materials |
| 1 | Introduction and fundamental concepts | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Chapter 1-3 |
| 2 | Newtonian mechanics | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Chapter 1-3. Classical Mechanics Problems and solutions.Carolina C. Ilie Zachariah S. Schrecengost Elina M. van Kempen (CRC press 2023). Chapter 1-2 |
| 3 | Momentum and Angular Momentum | Classical Mechanics Problems and solutions.Carolina C. Ilie Zachariah S. Schrecengost Elina M. van Kempen (CRC press 2023). Chapter 3 |
| 4 | Enerji | Classical Mechanics Problems and solutions.Carolina C. Ilie Zachariah S. Schrecengost Elina M. van Kempen (CRC press 2023). Chapter 4 |
| 5 | Oscillations | Classical Mechanics Problems and solutions.Carolina C. Ilie Zachariah S. Schrecengost Elina M. van Kempen (CRC press 2023). Chapter 5 |
| 6 | Lagrange Mechanics | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Chapter 4 |
| 7 | Applications of Lagrange Mechanics | Classical Mechanics Problems and solutions.Carolina C. Ilie Zachariah S. Schrecengost Elina M. van Kempen (CRC press 2023). Chapter 6 |
| 8 | Midterm exam 1 | |
| 9 | Hamitonian mechanics | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Chapter 5 |
| 10 | Application of Hamilton's mechanics. | Classical Mechanics Problems and solutions.Carolina C. Ilie Zachariah S. Schrecengost Elina M. van Kempen (CRC press 2023). Chapter 7. |
| 11 | Harmonic oscillator and pendulum | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Chapter 7-9 |
| 12 | Midterm Exam 2 | |
| 13 | Canonical transformations and symmetry | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Chapter 10 |
| 14 | Hamilton-jacoby and other mechanisms. | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Chapter 11 |
| 15 | Review of the semester | |
| 16 | Final Exam |
| Course Notes/Textbooks | No-nonsense classical mechanics, Jacob Schwichtenberg (2019). Classical Mechanics Problems and solutions.Carolina C. Ilie Zachariah S. Schrecengost Elina M. van Kempen (CRC press 2023). ISBN: 978-1-003-36570-9 (ebk) |
| Suggested Readings/Materials |
| Semester Activities | Number | Weighting |
| Participation | 1 | 10 |
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exam | ||
| 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 |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Course Hours (Including exam week: 16 x total hours) | 16 | 2 | 32 |
| Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | 2 | |
| Study Hours Out of Class | 14 | 3 | 42 |
| Field Work | |||
| Quizzes / Studio Critiques | |||
| Portfolio | |||
| Homework / Assignments | |||
| Presentation / Jury | |||
| Project | |||
| Seminar / Workshop | |||
| Oral Exam | |||
| Midterms | 2 | 12 | |
| Final Exams | 1 | 20 | |
| Total | 150 |
| # | 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
