COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 514DIFFERENTIABLE MANIFOLDS -II3 + 02nd Semester6

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective Giving the structure of the submanifold and learning tensors with the different manifold structures.
Course Content Maximal integral curves, flow of a vector field, differentiable equations on a quotient manifold, linear connections, horizontal distribution, Riemann connections, sprays, the metric structure on a Riemann manifold, distributions, reguler distributions, Lie algebra and groups, orbits under a Lie transformation group, groups of transformations of a Hausdorff manifold, automorphisms of a parallelization.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns maximal integral curves and knows flux of vector space, differentiable equations on section manifold.
2Knows linear connection, horizontal distribution, Riemann connection, spray and Riemann spray.
3Learns metric structure on Riemann manifolds, distributions, Regular distributions, realized Lie algebra and groups.
4Realized orbits in Lie transformation groups, groups of transformations of a hausdorff manifolds and knows otomorphizm of parallelism.

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 Duration14342
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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