Differential Geometry
About the course
The course is included in the study program Mathematical Sciences - master. It may be taken as a singular course and is also offered for inbound exchange students.
Introduction to smooth manifolds, vector and tensor fields, Lie derivative and differential forms.
Admission requirements
Bachelor of science degree in mathematics or equal.
Application code is 9371.
Objectives of the course
The candidate shall:
- obtain a solid knowledge and understanding of smooth manifolds, vector and tensor fields, Lie derivative and differential forms
- be able to perform calculations in concrete examples, using these concepts
Prerequisites
Recommended prerequisites
MAT-1003 Calculus 3, MAT-1020 Linear algebra, MAT-1030 Vector Calculus
Credit reduction
If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:
- MA-311 Differential topology and analysis on manifolds 10 ects
Teaching methods
Language of instruction and examination
The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.Schedule
The schedules are normally finalized and published well in advance of the start of the semester, often a few weeks beforehand. This gives students the opportunity to organize their studies and prepare for upcoming activities.
It is recommended to check the schedule regularly, as changes may occur.
Information to incoming exchange students
This course is open to incoming exchange students.
Study level: Master’s
Admission prerequisites:
This course has admission prerequisites, which are listed under the Admission requirements section. Please review this information carefully before adding the course to your Learning Agreement.
For details on how to apply for exchange, course selection guidelines, or to contact the Incoming Admissions Team, please visit: Admissions for Student Exchange.
Examination
| Oral exam |
Grade: A–E, fail F |
To take an examination, the student must have passed the following coursework requirements
| Mandatory homework sets | Grade: Approved – not approved |
Everything you need to know about before, during, and after the exam; registration, absence, appeals, and diplomas: UiT Exams homepage
