# Recommended courses

Be sure to read the general information about courses for exchange students at the Department of Mathematics before you read the recommendations below.

### Schedules

The groups below consist of courses that usually have non-overlapping schedules. You must, however, check this for the semester you wish to come to UiO. The schedule for a courses in a specific semester is found on the semester page online. Note that schedules for the spring semester are available from primo December, while the schedules for the autumn semester are available from primo June. If you want to take a Norwegian language course you should also check the schedule of that course.

You may choose other combinations of courses than the ones listed below, but then there is a higher chance of overlapping schedules. Please see the list of all courses at the department offered in English.

## Bachelor's level

You should have at least 30 ECTS credits in calculus and linear algebra to take any of the courses below. For some courses additional recommended previous courses are stated on the course web page. Each course is 10 ECTS credits.

A1) For students on 5th semester Bachelor's level. Of particular interest for students specializing in mathematical finance.

- MAT2410 – Introduction to Complex Analysis
- STK-MAT3700 – Introduction to Mathematical Finance and Investment Theory

A2) For students on 5th semester Bachelor's level. Of particular interest for students specializing in pure mathematics.

S1) For students on 4th or 6th semester Bachelor's level. Of particular interest for students specializing in (stochastic) analysis, financial mathematics, differential equations and (pure) statistics.

- MAT2400 – Real Analysis
- MAT3440 – Dynamical systems
- MAT3360 – Introduction to Partial Differential Equations
- STK2130 – Modelling by Stochastic Processes (Might collide with MAT3360.)

S2) For students on 4th or 6th semester Bachelor's level. Of particular interest for students specializing in pure mathematics.

- MAT2000 – Project Work in Mathematics
- MAT2200 – Groups, Rings and Fields
- MAT2400 – Real Analysis
- MAT3400 – Linear Analysis with Applications (For those already familiar with real analysis)

S3) For students on 4th or 6th semester Bachelor's level. Of particular interest for students specializing in pure mathematics or mathematical optimization.

- MAT3100 – Linear optimization
- MAT2400 – Real Analysis
- MAT3400 – Linear Analysis with Applications (For those already familiar with real analysis)

## Master's level

You should hold a Bachelor's degree in (pure) mathematics to pick any of the courses below. Also check for recommended previous knowledge on the course web pages. Each course counts as 10 ECTS credits.

Students on Bachelor's level who want to take courses on Master's level must clarify this with their home university.

A3) For students on 1st semester Master's level. Of particular interest for students specializing in algebra, algebraic geometry and topology.

A4) For students on 1st semester Master's level. Of particular interest for students specializing in complex analysis.

A5) For students on 1st semester Master's level. Of particular interest for students specializing in mathematical optimization.

A6) For students on 1st semester Master's level. Of particular interest for students specializing in (partial) differential equations.

- MAT4301 – Partial Differential Equations
- MAT4315 – Partial differential equations and Sobolev spaces II (For those already familiar with the theory in MAT4305 – Partial Differential Equations and Sobolev Spaces I)
- MAT4500 – Topology

A7) For students on 1st semester Master's level. Of particular interest for students specializing in stochastic analysis/mathematical finance.

- MAT4720 – Stochastic Analysis and Stochastic Differential Equations
- STK4530 – Interest Rate Modelling via SPDE's

S4) For students on 2nd semester Master's level. Of particular interest for students specializing in algebraic geometry or (algebraic) topology.

- MAT4210 – Algebraic Geometry I
- MAT4215 – Algebraic Geometry II
- MAT4520 – Manifolds
- MAT4530 – Algebraic Topology I

S5) For students on 2nd semester Master's level. Of particular interest for students specializing in complex analysis.

S6) For students on 2nd semester Master's level. Of particular interest for students specializing in PDEs and operator algebras.

- MAT4450 – Advanced Functional Analysis
- MAT4520 – Manifolds
- MAT4305 – Partial Differential Equations and Sobolev Spaces I
- MAT4400 – Linear Analysis with Applications

S7) For student on 2nd semester Master's level. Of particular interest for students specializing in stochastic analysis/mathematical finance.