Individual course details
Study programme THEORETICAL AND EXPERIMENTAL PHYSICS
Chosen research area (module)  
Nature and level of studies  
Name of the course Differential Geometry in Physics
Professor (lectures) Milan Damnjanovic
Professor/associate (examples/practical) Marko Milivojevic
Professor/associate (additional)  
ECTS 10 Status (required/elective) elective
Access requirements Mathematical Physics 1, Mathematical Physics 2, Theoretical Mechanics
Aims of the course Basic aquaintance with the concepts of differential geometry.
Learning outcomes Getting a unified understanding of the  fundamental fields of physics (mechanics, thermodynamics, electrodynamics, relativity).
Contents of the course
Lectures 1. Manifolds and bundles.
2. Vector and tensor fields.
3. Algebra of sifferential forms.
4. Parallel transport, connection.
5. Curvature.
6. Applications: Simplectic spaces
7. Berry phase.
8. Theoretical mechanics.
9. Gauge fields.
10. Generalization of vector analysis.
11. Шварцшилдова метрика.
Examples/ practical classes Exercises, discussions, seminars, homeworks.
Recommended books
1 Dubrovin, B.A., Fomenko, A.T., Novikov, S.P; Modern Geometry - Methods and Applications (Springer, МИР).   
2  M. Damnjanovic; Elementi diferencijalne geometrije i opste teorije relativnosti, Beograd 2000.  
3  
4  
5  
Number of classes (weekly)
Lectures Examples&practicals   Student project Additional
         
Teaching and learning methods Lectures/exercises/computer practice/homeworks.
Assessment (maximal 100)
assesed coursework mark examination mark
coursework 10 written examination  
practicals 10 oral examination 50
papers      
presentations 30