Course code

MLM6312.DT

old course code

MLM6312

Course title in Estonian

Kompleksmuutuja funktsioonid

Course title in English

Functions of a Complex Variable

ECTS credits

6.0

Assessment form

Examination

lecturer of 2024/2025 Autumn semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

lecturer of 2024/2025 Spring semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

Course aims

To generalize basic notions and results known for functions of real variables for functions of a complex variable. To develop basic skills for solving problems, and to demonstrate different types of applications. Special attention is paid? to relations between the present course and previous courses in mathematical analysis.

Brief description of the course

Concept of function of complex variable, limit and continuity, analytical functions. Conformal mapping. Integral of complex variable functions. Cauchy Theorem. Cauchy Formula. Taylor and Laurent series. Singularity points and residues. Applications of residues.

Learning outcomes in the course

Upon completing the course the student:
- knows mathematical facts;
- is able to use methods in volume of the subject.

Teacher

prof Anne Tali

Prerequisite course 1

Mathematical Analysis II (MLM6003.DT)

Study programmes containing that course

Mathematics, Mathematical Economics and Data Analysis (MLMB/17.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/16.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/15.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/14.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/13.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/12.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/00.DT)