| Code |
13320
|
| Year |
1
|
| Semester |
S1
|
| ECTS Credits |
10
|
| Workload |
OT(30H)/TP(30H)
|
| Scientific area |
Física e Matemática
|
|
Entry requirements |
None
|
|
Learning outcomes |
To address the fundamentals of differential geometry.
To address the mathematical foundations of theories of connections
and associated techniques.
To address General Relativity from a mathematical-physics perspective.
|
|
Syllabus |
1. Manifolds
2. Fiber bundles
3. Tensors and forms
4. Connections
5. Semi-riemannian manifolds
6. General Relativity
|
|
Main Bibliography |
Differential Geometry in Physics - Gabriel Lugo - UNC Press
|
|
Teaching Methodologies and Assessment Criteria |
The classes will be tutorials. The contents of the program will be studied autonomously by the student following the bibliography suggested by the teacher. In order to monitor and evaluate the student's understanding, will be propose lists of exercises that the student will solve. In the classes the teacher will present additional topics that complement and deepen the study done by the student and the doubts present will be discussed and clarified.
|
|
Language |
Portuguese. Tutorial support is available in English.
|