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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 578INTRODUCTION TO LORENTZIAN GEOMETRY3 + 01st Semester7,5

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
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 44  45
LO 0024  5  54
LO 0035 44  55
Sub Total14 813  1414
Contribution50340055

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