Main field(s) of study and in-depth level:
Explanation of codes
The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:
G1N: has only upper-secondary level entry requirements
G1F: has less than 60 credits in first-cycle course/s as entry requirements
G1E: contains specially designed degree project for Higher Education Diploma
G2F: has at least 60 credits in first-cycle course/s as entry requirements
G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
GXX: in-depth level of the course cannot be classified.
A1N: has only first-cycle course/s as entry requirements
A1F: has second-cycle course/s as entry requirements
A1E: contains degree project for Master of Arts/Master of Science (60 credits)
A2E: contains degree project for Master of Arts/Master of Science (120 credits)
AXX: in-depth level of the course cannot be classified.
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
The Faculty Board of Science and Technology
120 credits including Mathematical Methods of Physics II.
On completion of the course, the student should be able to:
analyse and solve simple problems in topology (e.g. simple homotopy, homology and cohomology calculations)
perform simple manipulations with connections and characteristic classes on fibre bundles.
use the geometrical tools that are used widely in modern quantum feld theory and string theory
account for the geometrical notions behind the description of gauge theories
discuss applications of topology in various physical problems
Topology, smooth manifolds, Lie groups, homotopy, homology, cohomology, principal and vector bundles, connections on fibre bundles, characteristic classes and their application in physics, Yang-Mills theory and more advanced topics based on students' interests.
Lectures and classes ("flipped classroom" might be used).
Hand-in problems during the course.
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.
The course is given in coordination with the third-cycle programmes.