MATHEMATICS (TURKISH, PHD) | |||||
PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
FİZ6034 | General Theory of Relativity | Fall Spring |
3 | 0 | 3 | 12 |
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
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. |
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. |
Special relativity, space-time coordinates and transformations, energy-matter relation |
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 |
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 |
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 |
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 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution |