PhD programme, 3 years

Mathematical Sciences

– Course curriculum

Educational component

Courses should be selected in relation to the thesis. Subjects for which the exam was taken more than 5 years before admission cannot normally be included in the mandatory 30 SP. The same applies to courses where exams were included for a different degree. The IME faculty may approve up to one (1) course at the PhD level to be included as a part of the educational component of the PhD programme, where the examination was completed before the completion of a master's degree.

In the context of interdisciplinary projects, students can take exams as needed in the doctoral courses from other departments. A maximum of one subject is allowed.

In addition to courses in the PhD catalogue, the following courses are recommended for students in the PhD programme in mathematical sciences. Please note that these courses cannot be included in the 20 credits required from PhD catalogue.

MA3105    Advanced Real Analysis
TMA4170    Fourier Analysis
TMA4175    Complex Analysis
TMA4225    Foundations of Analysis
TMA4230    Functional Analysis
TMA4305    Partial Differential Equations

MA3402    Analysis on Manifolds
MA3403    Algebraic Topology I
MA3405    Algebraic Topology II

TMA4250    Spatial Statistics
TMA4270    Multivariate Analysis
TMA4285    Time Series Models
TMA4295    Statistical Inference
TMA4300    Modern Statistical Methods

TMA4205    Numerical Linear Algebra
TMA4220    Numerical Solutions of Partial Differential Equations Using Element Methods
TMA4280    Supercomputing, Introduction

MA3201    Rings and Modules
MA3202    Galois Theory
MA3203    Ring Theory
MA3204    Homological Algebra