AA019 Mathematical Methods in Astronomy I

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code AA019
Name Mathematical Methods in Astronomy I
Term 2022-2023 Academic Year
Semester . Semester
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 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

Update Time: 16.11.2022 09:18