Schedule, syllabus and examination date

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Course content

Introduction to Riemannian geometry. Riemannian connections, curvature and geodesics. Applications to submanifolds and to the connection between topology and curvature.

Learning outcome

The course aims to give a proper background in differential geometry for applications in theoretical physics and for further studies in geometry/geometrical analysis.

Admission

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Prerequisites

Recommended previous knowledge

MAT4510 - Geometric structures and MAT4520 - Manifolds/MAT9520 - Manifolds.

Overlapping courses

For information about the potential partial overlap with other courses, contact the Department.

Teaching

3 hours per week.

Examination

Oral exam.

One mandatory assignment needs to be passed within given deadlines to be allowed to take the final exam. Final mark based on oral examination at the end of the semester.

Rules for mandatory assignments at the Department of Mathematics.

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits

10

Level

Master

Teaching

Autumn 2017

Spring 2015

Spring 2014

Spring 2013

The course will from autumn 2017 be given in the autumn.

Autumn. Taught according to demand and resources. If you want to attend the course, please send an e-mail to studieinfo@math.uio.no.

Examination

Autumn 2017

Spring 2015

Spring 2014

Spring 2013

According to demand and resources.

Teaching language

English

The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.