FİZ6034 General Theory of RelativityBahçeşehir UniversityDegree Programs MATHEMATICS (TURKISH, PHD)General Information For StudentsDiploma SupplementErasmus Policy StatementNational Qualifications
MATHEMATICS (TURKISH, PHD)
PhD. TR-NQF-HE: Level 8 QF-EHEA: Third Cycle EQF-LLL: Level 8

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
FİZ6034 General Theory of Relativity Spring 3 0 3 12
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: Turkish
Type of course: Departmental Elective
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Prof. Dr. SARPER ÖZHARAR
Recommended Optional Program Components: None
Course Objectives: Theory of Relativity together with Quantum Physics, are fundamental concepts that shaped the 20th century. Therefore, the aim of this class is to give students a new perspective towards the working dynamics of the universe as a whole while using mathematics as a tool.

Learning Outcomes

The students who have succeeded in this course;
Successful students will be able to:
1- realize there are more than one perspectives to physical events.
2- model mathematical the law of gravity that holds the universe together
3- know that the mass bends the universe
4- know how the speed of light defines the structure of the universe
5- prove mathematically the existence of black holes and practice the mathematics on Einstein’s equations.

Course Content

Special relativity, space-time coordinates and transformations, energy-matter relation

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Distance in metric spaces, and Euclidian Spaces
2) MINKOWSKI SPACE, COVARIANCE VE CONTRAVARIANCE
3) GENERAL COORDİNATE TRANSFORMS, SPACE-TIME DEPENDENT SPACES
4) COVARIANT DERIVATIVE, AFİN CONNECTIONS
5) UNDERSTANDING CURVES, PARALLEL SHIFTING
6) GEODESIC: DEFINITION AND CONCEPT
7) COVARIANT MAXWELL’S THEORY IN 4 DIMENSIONAL SPACE
8) EXISTENCE OF MATTER AND ENERGY TENSOR
9) NEWTONIAN MECHANICS AND GALILEAN COVARIANT
10) FUNDAMENTALS OF EINSTEIN'S SPECIAL RELATIVITY
11) UNDERSTANDING ALGEBRAIC STRUCTURE OF LORENTZ TRANSFORMATIONS
12) PRINCIPLE OF SPEED OF LIGHT AND RELATIVISTIC INVARIANT
13) TO MAKE AN INVARIANT THEORY UNDER GENERAL COORDINATE TRANSFORMS
14) GEOMETRICAL VIEW ON FORCE OR A SIMPLE INTRODUCTION TO EINSTEIN’S GENERAL RELATIVITY

Sources

Course Notes / Textbooks: General Relativity, An Introduction for Physicists, M. P. Hobson, G. P. Efstathiou and A. N. Lasenby, Cambridge Univ. Press , 2006
References: Introducing Einstein’ s Relativity, Ray D’ Inverno, Oxford Univ. Press, 1998

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Midterms 1 % 40
Final 1 % 60
Total % 100
PERCENTAGE OF SEMESTER WORK % 40
PERCENTAGE OF FINAL WORK % 60
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 6 84
Midterms 1 30 30
Final 1 44 44
Total Workload 200

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution