Postgraduate Course: Geometry & Topology 2 (MATH11103)
Course Outline
| School | School of Mathematics | 
College | College of Science and Engineering | 
 
| Course type | Standard | 
Availability | Available to all students | 
 
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) | 
Credits | 20 | 
 
| Home subject area | Mathematics | 
Other subject area | None | 
   
| Course website | 
None | 
Taught in Gaelic? | No | 
 
| Course description | This course covers several fundamental topics in Geometry & Topology, providing a solid and broad foundation to the subject and its  interactions with algebra and analysis.  
 
The course discusses curvature on manifolds, then introduces differential topology and de Rham cohomology, leading on to vector bundles, connections, and Chern classes. | 
 
 
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites | 
 | 
Co-requisites |  | 
 
| Prohibited Combinations |  | 
Other requirements |  None | 
 
| Additional Costs |  None | 
 
 
Information for Visiting Students 
| Pre-requisites | None | 
 
| Displayed in Visiting Students Prospectus? | No | 
 
 
Course Delivery Information
| Not being delivered |   
Summary of Intended Learning Outcomes 
Thorough understanding of the applications of topology to the local and global geometry of manifolds. 
 
An understanding of the key role of vector bundles in the geometry and  topology of manifolds. 
 
Familiarity with the manipulation of manifolds using analysis. | 
 
 
Assessment Information 
Examination 80% 
Continuous Assessment 20% |  
 
Special Arrangements 
| Selection of this course requires the approval of the Programme Director. |   
 
Additional Information 
| Academic description | 
Not entered | 
 
| Syllabus | 
Not entered | 
 
| Transferable skills | 
Not entered | 
 
| Reading list | 
Not entered | 
 
| Study Abroad | 
Not entered | 
 
| Study Pattern | 
Not entered | 
 
| Keywords | GT2 | 
 
 
Contacts 
| Course organiser | Prof Tom Lenagan 
Tel: (0131 6)50 5078 
Email:  | 
Course secretary | Mrs Frances Reid 
Tel: (0131 6)50 4883 
Email:  | 
   
 
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