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The subject will give a thoroughly introduction to differetiable manifolds. The course will contain topics like the tangent - and the cotangent bundle, vector fields and flows (ordinary differential equations), differential forms, integration. Topological applications will give examples of how analysis on a manifold depends of the global structure.
The course will give a common background for further studies in topology and geometry and also for parts of real and complex analysis. The course will give proper background for geometry which is important in modern mathematics and theoretical elementary particle physics.
Students who are admitted to study programmes or individual courses at UiO must each semester register which courses and exams they wish to sign up for by registering a study plan in StudentWeb.
International applicants, if you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.
None.
MAT3500 - Topology / MAT4500 - Topology and MAT3510 - Geometric structures / MAT4510 - Geometric structures.
10 credits with MA252/352.
*The information about the overlaps is not complete. Contact the Department for more information if necessary.
4 hours of lectures/exercises per week.
Oral exam. Letter grading (A-F).
Students who due to illness or other valid reason of absence were unable to sit for their final exams may apply for participation in deferred examinations. Deferred examinations are arranged either later in the same semester or early in the semester following the exam in question. Documentation of valid reasons for absence from the regular exam must be submitted upon application to participate in deferred examinations.
Students who have failed an exam, who withdraw during an exam, and students who wish to retake an exam to achieve a better grade may not participate in deferred exams, but may retake the exam when it is regularly scheduled.
Information about deferred and new examination (also called repeat examination) is found here
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