COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 578INTRODUCTION TO LORENTZIAN GEOMETRY3 + 02nd Semester6

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective Presentation of Riemann and Lorentz metrics and physical studying of the relation space with time.
Course Content Riamann Themes in Loretzian Geometry; Definition and examples of Riemann metrics, manifolds and maps; Connections and Curvature; Riemann, Semi-Riemann and Lorentzian Manifolds; Hypersurfaces; Gauss Map; Geodesics and Distance; Exponential Map; Examples of Space time.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns Riemann structure in Lorentzian geometry, Riemann metric and their examples. Knows definition and examples of Riemann, Semi-Riemann, Lorentz manifolds and tarnsforms.
2Learns connections and curves, hypersurfaces, Gauss transform, Geodesics and distance, exponential transformation.
3Realized examples of space-time.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

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)14570
Assignments144
Mid-terms11313
Final examination12727
Total Work Load

ECTS Credit of the Course






156

6

COURSE DETAILS
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes
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