Complex Analysis

Course information

Learning outcomes

After passing the course the student will
- be able to make use of complex numbers in solving geometric problems
- be able to solve mapping problems in the plane
- recognize behavior of complex functions
- be able to interprete basic properties of analytic functions
- be able calculate real integrals by making use of complex integrals

Content

The interpretation and use of complex numbers, analytic function, conformality, harmonic function, basic complex functions, line integrals, sequences and series, Cauchy formula and its consequences.

Teacher

Kirsi Peltonen

Study material

-

Workload

24+24 (4+4).

Prerequisites

Recommended prerequisites: MS-A02XX Differential and integral calculus 2.

Evaluation

Lectures, exercises and course exam OR exam only

Teaching time and location

The teaching time and the location of the course can be found at Sisu information system

1. The link leads to Completion methods tab of the course page
2. From the top of the page (Version drop-down menu), check that academic year 2025-2026 is selected  

3. From the blue bar, click Lecture and open the Groups and teaching times tab to see the teaching time and the location of the course. Exam times can be seen by clicking Exam.
    

   Exam instructions at the Open University

The teacher has four (4) weeks to grade the exam submissions starting from the exam date.

Further information

Substitutes the courses Mat-1.1131, Mat-1.1331, Mat-1.1531, Mat-1.1631.

Together with the course MS-C1340/MS-C1342 substitutes the course Mat-1.1030.

Together with the course MS-C1340/MS-C1342 or the course MS-C1420 substitutes the course Mat-1.1230.

Online learning environment for the course  

MyCourses online learning environment is a tool for both students and teachers for communication and managing everyday course work. You need an Aalto User ID to log in to the course's MyCourses workspace and participate in teaching.

Digital workspace of the course:
MyCourses

More details on completing the course will be available at MyCourses closer to the start of the course.

Registration and course fee

Registration for Open University courses is done via the link below: 
Course registration

Registration for this course starts on 22.9.2025 at 9.00  
Registration for this course ends on 27.10.2025 at 23.59

It is not possible to register before the registration period has started or after it has ended.

The number of participants is limited to 10.

This course is organized by the Aalto University School of Science.

The course fee is paid upon registration for each course at a time and it is binding. Familiarize yourself with registration and payment rules as well as other guidelines for students:
Registration, payments and rules

Activating Aalto ID and Multifactor Authentication

You can activate your Aalto User ID the day after the registration and you should activate it no later than the day before the start of the course.
Instructions for activating your Aalto user ID

Once you have activated your Aalto user ID, also enable multifactor authentication. Some of Aalto University's services require multifactor authentication.

Instructions for using Multifactor Authentication