MAT3360 – Introduction to Partial Differential Equations
Changes in the course due to coronavirus
Autumn 2020 we plan for teaching and examinations to be conducted as described in the course description and on semester pages. However, changes may occur due to the corona situation. You will receive notifications about any changes at the semester page and/or in Canvas.
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.
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 to the course
Students at UiO register for courses and exams in Studentweb.
Special admission requirements
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:
Information technology (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
- MAT-INF1100 – Modelling and Computations
- 10 credits overlap with MAT-INF3360 – Introduction to Partial Differential Equations (continued).
- 10 credits overlap with INF-MAT3360 – Partial differential equations (discontinued).
2 hours of lectures and 2 hours of problem sessions per week.
Final written examination.
Examination support material
No examination support material is allowed.
Language of examination
The examination text is given in Norwegian. If the course is taught in English, the examination text will only be given in English. You may answer in Norwegian, Swedish, Danish or English.
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.
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.