LFU:online

Students who completed this module understand the contents of the lecture and are able to reproduce and apply them. They have the ability to acquire similar contents by themselves. In addition, they are capable of applying the considered methods to specific problems. Furthermore, they have acquired an understanding of the theoretical and practical aspects of Ordinary Differential Equations and the Complex Analysis.

Ordinary Differential Equations: systems of linear ODEs, existence and uniqueness, qualitative theory. Introduction to the topic of complex analysis: holomorphic functions, integration in C, meromorphic functions.

Lecture, assessment is based on a single examination at the end of the course.

Course examination according to § 6, statute section on "study-law regulations"

Behnke H., Sommer F., Theorie der analytischen Funktionen einer komplexen Veränderlichen, Springer Verlag

 Ahlfors L.V., Complex analysis, McGraw-Hill Book Company

 Krzyż J.G., Problems in complex variable theory, Elsevier

 Spiegel M.R., Theory and problems of complex variables, Schaum’s outline series, McGraw-Hill Book Company

 Titchmarsh E.C., The theory of functions, Oxford university press

Dieudonné J., Foundations of modern analysis, Academic press

 Wendland W.L., Steinbach O., Analysis, Teubner

Amann H., Gewöhnliche Differentialgleichungen, Walter de Gruyter

 Bronson R., Differential equations, Schaum’s outline series, McGraw-Hill Book Company

 Kamke E., Differentialgleichungen: Lösungsmethoden und Lösungen I, B.G.Teubner

 Ver Eecke P., applications du calcul différentiel, presses universitaires de France

Förg-Rob W., Skriptum Analysis 3

Hell T., Skriptum Analysis 3

Analysis 1, Analysis 2, and Linear Algebra