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MAT-INF9310 - Partial differential equations and Sobolev spaces II

Schedule, syllabus and examination date

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Course content

Modern theory for partial differential equations of evolution type. Bochner spaces. Parabolic and hyperbolic equations. Conservation laws. Theory for numerical methods: finite volumes.

Learning outcome

Understanding of the modern theory for linear partial differential equations, some aquaintance with nonlinear equations.

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.

Prerequisites

Recommended previous knowledge

MAT-INF4300 - Partial differential equations and Sobolev spaces I.

Overlapping courses

10 credits overlap with MAT-INF4310 - Partial differential equations and Sobolev spaces II

5 credits with AIM301

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

Teaching

4 hours of lectures/exercises per week.

Examination

Oral exam.

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

Students may, on subjects taught in Norwegian and the examination form is written exam, ask for the exam paper in Bokmål, Nynorsk or English. Closing date for registering the chosen examination language is September 1st for the fall semester and February 1st for the spring semester. Please view the web page of the Faculty of Mathematics and Natural Sciences on how to proceed

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

This rule also applies for subjects where the exam form is dependent on the number of students and written exam is chosen by the teaching staff.

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 may resit an exam 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

If you wish to withdraw from the exam you must do so in StudentWeb at least two weeks prior to the deadline. Failure to do so will be counted as one of the three opportunities to sit the exam.

Special examination arrangements

If you have a disability or a health problem that entails significant inconvenience in an examination situation, you may be considered for special examination arrangements. Mothers who are breastfeeding may apply for extra time to complete the exam.

Evaluation

Feedback from our students is essential to us in our efforts to ensure and further improve the high quality of our programmes and courses. All courses are subject to continuous evaluation. At regular intervals we also ask students on a particular course to participate in a more comprehensive, periodic evaluation of this course.

Facts about this course

Credits

10

Level

PhD

Teaching

Spring 2014

Spring 2013

Spring 2012

Spring 2011

Spring 2009

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

Examination

Spring 2014

Spring 2013

Spring 2012

Spring 2011

Spring 2009

Spring. 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.