COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 506HIGHER DIFFERENTIAL GEOMETRY-II3 + 02nd Semester6

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The goal of the course is to express geometrical concepts with the tensor.
Course Content Lie Groups and Differentials, Lie Subalgebras, Matrix Lie Groups and Frame Bunches, Reduced Riemann Metrics, Vector Valued Forms, Orthonormal Frame Bunches on Width, Left-invariant Forms on Matrix Lie Groups, Structure Bunches of Matrix Lie Groups, Fundamental relations for Frame Bunches on Width one Submanifold, Generalizations. (High Order Curveture of a Curve).
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Knows Lie groups and differential, reognizes Lie sub-algebra, matrix Lie groups and bundles.
2Learns Riemannian metric of the reduced, vector forms, orthonormal roof on E'n.
3Recognizes left-invariant forms on Lie groups, structure bundle of matrix Lie groups.
4Knows the basic equations for roof bundles on E'n submanifolds, recognizes generalizations.

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
 Select Year   


This course is not available in selected semester.

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes
© 2021 PAU