Unit name | Geometry of Manifolds |
---|---|
Unit code | MATHM0037 |
Credit points | 20 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Hassannezhad |
Open unit status | Not open |
Pre-requisites |
MATH20006 Metric Spaces and MATH20004 Introduction to Geometry |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
Unit Aims
The aim of the unit is to study foundations of geometry of manifolds including the concept of an abstract manifold, Riemannian metric and curvature.
Unit Description
Relation to Other Units
This unit replaces Fields, Forms and Flows 34 therefore students may not take this unit if they have already taken Fields, Forms and Flows 3. This can be considered as a continuation or as an advanced version of the second-year unit Introduction to Geometry. It is also complementary to the units Topics in Modern Geometry and Algebraic Geometry.
By the end of this course the students should be able to:
3 hours of lecture per week, including a problem session every other week. The students will be given weekly or bi-weekly non-assessed homework assignments.
The final mark is calculated as follows:
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