Functions of Complex Variable
Course code
old course code
Course title in Estonian
Kompleksmuutuja funktsioonid
Course title in English
Functions of Complex Variable
ECTS credits
approximate amount of contact lessons
Teaching semester
autumn - spring
Assessment form
lecturer of 2019/2020  Spring semester
õppejõud on määramata
lecturer of 2020/2021  Autumn semester
lecturer not assigned
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.
Independent work
Homeworks on lecture materials, literature and problem solving. Preparations for classroom tests and final examination.
Learning outcomes in the course
Teatakse ja osatakse rakendada kursuses esitatud fakte ja meetodeid.
Assessment methods
One test in class gives 40% and examination (written and oral part) gives 60% of the total number of points.
prof. Anne Tali
Study literature
Jürimäe, E. 1983 Kompleksmuutuja funktsioonide teooria lühikursus. Tallinn: Valgus;
Conway, J. B. 1984 Functions of one complex variable. New York, Berlin, Heidelberg: Springer-Verlag;
Saff, E. B.; Snider, A. D. 2003 Fundamentals of Complex Analysis. Prentice Hall.
Replacement literature
Conway, J. B. 1984 Functions of one complex variable.