# Advanced Complex Analysis

**Source**: https://www.su.se/english/education/course-catalogue/mm/mm7026?semester=VT2026&eventcode=48036
**Parent**: https://www.su.se/english/education/course-catalogue?q=&internationalStudents=%5B%22true%22%5D&forcedReasonCode=%5B%220%22%5D

An advanced course in complex analysis.

The course covers: Generalisations of Cauchy's integral formula, analytic continuation, normal families and the Riemann mapping theorem, special classes of conform maps, complex differential equations, and by the teacher for each course instance chosen applications, where the applications can be chosen among:

- Hardy spaces
- Boundary behavior of analytic functions
- Riemann-Hilbert problems
- Harmonic functions and harmonic measure
- Infinite products of analytic functions

This course is given jointly with KTH, and information about schedule, course literature etc. can be found on KTH's pages - see links below.

## [Course structure](#svid10_142dc5821901009a5b52688b)

The course consists of one element.

### Teaching Format

Instruction consists of lectures.

### Assessment

The course is assessed through written assignments and a written and oral exam.

#### Examiner

A list of examiners can be found on

[Exam information](https://su.se/math/exams)

## [Schedule](#svid10_142dc5821901009a5b5268da)

The schedule will be available no later than one month before the start of the course.
We do not recommend print-outs as changes can occur. At the start of the course,
your department will advise where you can find your schedule during the course.

[Schedule for SF2745 at KTH](https://www.kth.se/social/course/SF2745/calendar/)

Note that semesters do not always start on the same day at Stockholm University and KTH, so this course may begin before the official first day of the semester at Stockholm University.

## [Course literature](#svid10_142dc5821901009a5b5268f0)

Note that the course literature can be changed up to two months before the start of the course.

[See course information for SF2745 at KTH](https://www.kth.se/student/kurser/kurs/SF2745)

Course reports are displayed for the three most recent course instances.

## [More information](#svid10_142dc5821901009a5b526901)

[New student](https://www.su.se/department-of-mathematics/education/new-student)\
[During your studies](https://www.su.se/department-of-mathematics/education/during-your-studies)

Note that if you have applied to and are admitted to this course, you register for the course at Stockholm University, not KTH.

### Course web

The course web can be found at KTH. Registered students get access to the KTH course web in Canvas.

## [Contact](#svid10_142dc5821901009a5b52690b)

[Student contact at the Department of Mathematics](https://www.su.se/department-of-mathematics/education/contact)

Find more courses and programmes

Know what you want to study?

[Find your study programme](https://www.su.se/english/education/course-catalogue)

What can I study?

[Explore our subjects](https://www.su.se/english/education/course-catalogue/education-subjects)

## Spring 2026 | Period 1 | Day-time, 25% | On campus | For international students

7.5 credits

Spring 2026

Period 1Day-time, 25%On campusFor international students

Beginning/EndPlease view course schedule for exact dates

week commencing

12/01/2026 - 31/05/2026

Closed for application

Information about late application[Applies only to certain courses](https://www.su.se/english/education/how-to-apply/important-dates/late-application-1.506150)

Course code: MM7026

Application code: SU-48036

Level

Master's level

Language

English

Eligibility

Admission to the course requires knowledge equivalent to the courses
- Mathematics III Foundations of Analysis 7.5 credits (MM5021); - Mathematics III - Complex analysis 7.5 credits (MM5022);
- English B/English 6 or equivalent.

Selection

No selection.

[Syllabus - legal document](#)

Tuition fee

Applies to citizens from outside EU, EEA or Switzerland. First instalment: 17500 SEK. The complete course: 17500 SEK.

[More information on tuition fees](https://www.su.se/english/education/how-to-apply/costs-fees-and-scholarships)

Subject

[Mathematics](https://www.su.se/english/education/course-catalogue/education-subjects/science-and-mathematics/mathematics)

Area of interest

[Science and Mathematics](https://www.su.se/english/education/course-catalogue/education-subjects/science-and-mathematics)

Department responsible for education

[Department of Mathematics](http://www.math.su.se)

Find more courses and programmes

Know what you want to study?

[Find your study programme](https://www.su.se/english/education/course-catalogue)

What can I study?

[Explore our subjects](https://www.su.se/english/education/course-catalogue/education-subjects)