Module in detail

Detailed information about the module

Module title:

Complex Analysis I

Module title (english):

Complex Analysis I

Module number:

82-105-L-MAT10-H-0512

Level:

Bachelor (UNI)

Course of study:

BA Mathematik

Type:

Modul

Organising faculty/Language Center:

Mathematisch-Geographische Fakultät

Instructors responsible:

Kreisbeck, Carolin

Examiners:

Engl, Dominik

Credit points (ECTS):

competencies/skills:

understanding of the fundamental concepts and principles of complex analysis, with a particular focus on classical theorems and proof techniques;
ability to independently solve a wide range of theoretical and computational problems related to the properties of holomorphic functions and complex integration

course content/topics:

introduction to complex analysis, with a focus on the following topics: complex differentiability, power series expansion, path integrals, Cauchy’s integral theorems and their consequences (e.g., identity theorem, Liouville’s theorem, maximum principle), functions with isolated singularities, Laurent series, residue theorem and its applications in integral calculus

formal requirements of admission:

none

recommended qualifications:

Analysis I, II, Linear Algebra I, II

Lehr- und Lernformen/Lehrveranstaltungstypen:

lecture (VL) (3 SWS), exercise session (UE) (1 SWS)

requirements for the attainment of ECTS points:

performance record assessed with at least "sufficient": written exam (60 to 90 minutes) or oral examination (20 to 30 minutes); option of grade improvement through exercises during the semester

workload/distribution of ECTS points within the module:

attendance in lectures and exercise sessions or equivalent independent study: 1.5 ECTS credits (45 hours)

preparation, follow-up, and exercises: 2.5 ECTS credits (75 hours)

preparation for assessment: 1.0 ECTS credit (30 hours)

calculation of module marks:

assessment

teaching/learning method:

compatibility with other courses of study:

polyvalence with

Mathematics Teacher Training Program (Lehramt Mathematik)

Interdisciplinary Master's Program in Mathematics

BSc Data Science

Turnus des Angebots:

Beteiligte Fachgebiete:

Bemerkung:

KU.Campus