1. SECOND CYCLE - MASTER'S DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. MATHEMATICS DEPARTMENT
  4. 1441 Mathematics
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 595GRAVITATION THEORIES AND COSMOLOGY3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective  The aim of this course is to teach gravitation theories and advanced applications of  these theories, such as black holes, cosmology with mathematical foundations.
Course Content Summary of the mathematics of general relativity, manifolds, tensors, covariant derivatives and curvature, Lagrangian formulation of general relativity, Black holes: causal structure, Penrose diagrams and the event horizon, Conserved charges in general relativity, The laws of black hole mechanics, Charged black holes, the AdS/CFT correspondence, Relativistic cosmology,   Alternative theories of gravity and solutions.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Knows the concepts: manifolds, tensors, covariant derivatives and curvature.
2Learns Lagrangian formulation of general relativity
3Learns black holes: causal structure, Penrose diagrams and the event horizon.
4Learns conserved charges in general relativity.
5Learns relativistic cosmology.
6Learns alternative theories of gravity and solutions.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001        
LO 002        
LO 003        
LO 004        
LO 005        
LO 006        
Sub Total        
Contribution00000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course





195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2017-2018 Spring1ÖZCAN SERT
Details 2015-2016 Fall1ÖZCAN SERT


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 595 GRAVITATION THEORIES AND COSMOLOGY 3 + 0 1 Turkish 2017-2018 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ÖZCAN SERT osert@pau.edu.tr FEN A0305 %70
Goals  The aim of this course is to teach gravitation theories and advanced applications of  these theories, such as black holes, cosmology with mathematical foundations.
Content Summary of the mathematics of general relativity, manifolds, tensors, covariant derivatives and curvature, Lagrangian formulation of general relativity, Black holes: causal structure, Penrose diagrams and the event horizon, Conserved charges in general relativity, The laws of black hole mechanics, Charged black holes, the AdS/CFT correspondence, Relativistic cosmology,   Alternative theories of gravity and solutions.
Topics
WeeksTopics
1 Summary of the mathematics of general relativity
2 manifolds, tensors
3 manifolds, tensors
4 covariant derivatives and curvature
5 Lagrangian formulation of general relativity
6 Lagrangian formulation of general relativity
7 Black holes: causal structure, Penrose diagrams and the event horizon
8 Conserved charges in general relativity, The laws of black hole mechanics
9 Midterm
10 Charged black holes
11 the AdS/CFT correspondence
12 Relativistic cosmology
13   Alternative theories of gravity and solutions
14   Alternative theories of gravity and solutions.
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes