Please note! Course description is confirmed for two academic years (1.8.2018-31.7.2020), which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


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

Credits: 5

Schedule: 26.10.2020 - 07.12.2020

Teacher in charge (valid 01.08.2020-31.07.2022): Kirsi Peltonen

Teacher in charge (applies in this implementation):

Contact information for the course (applies in this implementation):

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English


  • Valid 01.08.2020-31.07.2022:

    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.

Assessment Methods and Criteria
  • Valid 01.08.2020-31.07.2022:

    lectures, exercises, midterm exams/final exam.

  • Valid 01.08.2020-31.07.2022:

    24+24 (4+4).


Substitutes for Courses
  • Valid 01.08.2020-31.07.2022:

    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.

  • Valid 01.08.2020-31.07.2022:

    MS-A02XX Differential and integral calculus 2.


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