Module MA2000-KP09

Duration

1 Semester

Turnus of offer

each winter semester

Credit points

9

Course of studies, specific fields and terms:

• Bachelor Molecular Life Science 2024, compulsory, mathematics / computer science
• Bachelor MLS 2018, compulsory, life sciences
• Bachelor MLS 2016, compulsory, life sciences

Classes and lectures:

• Analysis 1 (exercise, 3 SWS)
• Analysis 1 (lecture, 4 SWS)

Workload:

• 25 hours exam preparation
• 140 hours private studies
• 105 hours in-classroom work

Contents of teaching:

• Sequences and series
• Functions and continuity
• Differentiability, Taylor series
• Metric and normalized spaces, basic topological concepts
• Multivariate differential calculus
• Basic knowledge of linear algebra

Qualification-goals/Competencies:

• Students understand the basic terms of analysis, especially the concept of convergence.
• Students understand the basic thoughts and proof techniques.
• Students can explain basic relationships in analysis.
• Students can apply the basic concepts and proof techniques.
• Students have an understanding for abstract structures.
• Interdisciplinary qualifications:
• Students have a basic competence in modeling.
• Students can transfer theoretical concepts to similar applications.
• Students can work as a group on elementary mathematical problems.

Grading through:

• written exam

Responsible for this module:

• Prof. Dr. rer. nat. Jürgen Prestin

Teacher:

• Institute for Mathematics
• Prof. Dr. rer. nat. Jürgen Prestin
• PD Dr. rer. nat. Jörn Schnieder
• PD Dr. rer. nat. Christian Bey

Literature:

• K. Fritzsche : Grundkurs Analysis 1 + 2
• H. Heuser : Lehrbuch der Analysis 1 + 2
• K. Burg, H. Haf, F. Wille, A. Meister : Höhere Mathematik für Ingenieure
• R. Lasser, F. Hofmaier : Analysis 1 + 2

Language:

• offered only in German

Notes:

Last Updated:

28.01.2022