MAT3360 – Introduction to Partial Differential Equations

Schedule, syllabus and examination date

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Course content

The course gives an introduction to analytical techniques for partial differential equations, in particular to separation of variables. In addition the course treats qualititative properties of solutions, such as maximum principles and energy estimates. The course also gives a basic introduction to difference methods and their stability analysis.

Learning outcome

After completing the course you will have:

  • good knowledge of the properties of important linear partial differential equations; maximum principles, energy estimates etc. You will know the theory of well-posedness for initial and boundary value problems;
  • kasic knowledge of representation of solutions of special equations in terms of Fourier series;
  • knowledge of difference methods for partial differential equations and the analysis of these. You will know techniques which can be used for convergence analysis and error estimates;
  • the skills to program various difference methods efficiently;
  • basic knowledge about convergence of Fourier series;
  • basic knowledge of mathematical modeling using partial differential equations.

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

Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

Recommended previous knowledge

MAT1100 – Calculus, MAT1110 – Calculus and linear algebra, MAT1120 – Linear algebra and MAT-INF1100 – Modelling and computations.

Overlapping courses

*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department. 

Teaching

2 hours of lectures and 2 hours of problem sessions per week.

Examination

2 compulsory assignments.

Final written examination.

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

Bachelor

Teaching

Every spring

Examination

Every spring

Teaching language

English

The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.