MAT-INF9300 - Partial differential equations and Sobolev spaces I

Schedule, syllabus and examination date

Choose semester

Course content

Understanding of the classical theory for solving partial differential equations. Basic ability in the use of Sobolev estimates.

Learning outcome

After having finished this course:

  • you master classical theory of linear partial differential equations
  • you have knowledge of the heat equation
  • you have knowledge of the Laplace equation
  • you have knowledge of the wave equation 
  • you have knowledge of Greens functions 
  • you have knowledge of Sobolev spaces 
  • you have knowledge of Poincare`s inequallities

After having completed the course the students will also be able to:

  • present, on a scientific level, a short thesis on a chosen topic of relevance, selected in collaboration with the lecturer

Admission

PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

10 credits overlap with MAT-INF4300 - Partial differential equations and Sobolev spaces I

10 credits with AIM301 and MAT-INF3300 - Partial differential equations and Sobolev spaces I (discontinued).

*The information about overlaps is not complete. Contact the Department for more information if necessary.

Teaching

4 hours of lectures/exercises per week.

Examination

One compulsory assignment need to be passed within given deadlines to be allowed to take the final exam. 

Final written examination.

In addition, each phd student is expected to give a one hour oral presentation on a topic of relevance (chosen in cooperation with the lecturer). The presentation has to be approved by the lecturer for the student to be admitted to the final exam.

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 pass/fail scale. 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.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.

Facts about this course

Credits

10

Level

PhD

Teaching

Autumn 2017

Examination

Autumn 2017

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.