# Module for [Scientific Computing]

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## [Complex Analysis I] - [2015 Sommer]

Module | Code MG09 | Name Complex Analysis I | ||

| Credit Points 8 CP | Workload 240 | Duration 1 semester | Cycle 0 |

Methods | Lecture 4 h + Exercise course 2 h | |||

Objectives | Basic knowledge about complex spaces | |||

Content | â¢ Local theory of complex spaces: differential forms, Hodge decomposition, Dolbeault theory â¢ Basic facts about complex functions of several variables: analytic functions, Cousin problem, local rings of analytic functions, Oka\'s lemma, WeierstraÃ preparation theorem â¢ Abelian functions | |||

Learning outcomes | Ability to solve problems about complex spaces and several complex variables and to present these solutions in problem sessions | |||

Prerequisites | ||||

Suggested previous knowledge | Complex Functions I+II (MB3+MB4) | |||

Assessments | Homework, assignments, written or oral exam. Modalities for make-up exams to be determined by the lecturer | |||

Literature | E. Freitag: Funktionentheorie 2 R. Gunning, H. Rossi: Analytic Functions on Several Complex Variables |