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Information
| Code | AA019 |
| Name | Mathematical Methods in Astronomy I |
| Term | 2023-2024 Academic Year |
| Term | Fall |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. METİN ÖZDEMİR |
| Course Instructor |
1 |
Course Goal / Objective
To eplain the mathematical foundations and fundamental methods and subjects of classical mechanics.
Course Content
Newton's laws of motion; time, koordinate and velocity dependent forces; motion of a charged particle in an electromagnetic field; gravitation, gravitational potential; Central force motion, equations of motion and orbits; motion under inverse square law; planetary motion, precession..
Course Precondition
none
Resources
Parçacıklar ve Sistemler için Klasik Mekanik, Marion, Thornton, Arkadaş Kitabevi, 2011
Notes
Parçacıklar ve Sistemler için Klasik Mekanik, Marion, Thornton, Arkadaş Kitabevi, 2011
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understand the relation between physics and differential equations. |
| LO02 | Understands mass types and the difference between them. |
| LO03 | Understands the solution of differential equations of various order. |
| LO04 | Understands the motion of a charged particle in a EM field. |
| LO05 | Understands gravitation and related concepts.. |
| LO06 | Understands central forces and the motion of masses under such forces. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | To know and apply the branches of science and observational methods used in their fields. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | To critically evaluate the knowledge gained in Physics, Mathematics, and Space Sciences and Technologies, to determine needs, to pursue life-long learning, to monitor developments and to use technology effectively to reach up-to-date information. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | To carry out thesis studies in the fields related to Astronomy and Space Sciences, to support their thoughts on the subjects and the solutions to the problems with quantitative and qualitative data. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Communicate verbally and in writing; develop communication skills in the field of ICT using at least one foreign language and develop communication skills with colleagues. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | To design and develop scientific and technological materials for the skills acquired in the field of Astronomy and Space Sciences. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Organizing projects and activities for the social environment in which they live with social responsibility awareness and implementing them. | 2 |
| PLO07 | Bilgi - Kuramsal, Olgusal | To be able to access information from written, permanent, reliable and accurate sources and use information resources. | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | To be able to make interdisciplinary and interdisciplinary group studies, to work effectively and to use time effectively | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | To be able to take responsibility, to act independently and to gain the ability of creativity. | 3 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Develop professional responsibility and ethical awareness. | 3 |
| PLO11 | Bilgi - Kuramsal, Olgusal | To be able to derive information about the properties and evolution of the source from the photons recorded by linking the basic physical interactions with the radiation processes. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | To be able to evaluate the structure, formation and evolution of the universe as a whole with scientific methods. | 4 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | To be able to comprehend and apply the processes related to data collection, analysis and interpretation. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Vectors, orthogonalization, gradient, divergance, rotational | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 2 | Newton's laws of motion, mass, conservation rules | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | Solution of equations of motion for various forces | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 4 | Solution of equations of motion for various forces (cont'd) | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 5 | Potential energy, equilibrium points, stable/unstable points | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 6 | Gravitation | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 7 | Graviatational Potential energy | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Central force and its properties | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 10 | Velocity and acceleration in plane polar coordinates | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 11 | Motion under a central force, two-body problem and orbits | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 12 | Motion under inverse square law | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 13 | Planetary motion | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 14 | Kepler's laws | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 15 | Orbital dynamics | Study the relevant subject in the text book and make a search of relevant materials in the internet sources. | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 16 | Term Exams | final exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | final exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||