Module MA2000-KP08, MA2000
Analysis 1 (Ana1KP08)
Duration
1 Semester
Turnus of offer
each winter semester
Credit points
8
Course of studies, specific fields and terms:
- Bachelor CLS 2023, compulsory, mathematics
- Minor in Teaching Mathematics, Bachelor of Arts 2023, compulsory, mathematics
- Bachelor MES 2020, compulsory: aptitude test, mathematics
- Bachelor Media Informatics 2020, compulsory: aptitude test, mathematics
- Bachelor Computer Science 2019, compulsory, mathematics
- Bachelor Robotics and Autonomous Systems 2020 , compulsory: aptitude test, mathematics
- Bachelor Medical Informatics 2019, compulsory, mathematics
- Minor in Teaching Mathematics, Bachelor of Arts 2017, compulsory, mathematics
- Bachelor Computer Science 2016, compulsory, mathematics
- Bachelor CLS 2016, compulsory, mathematics
- Bachelor Robotics and Autonomous Systems 2016, compulsory: aptitude test, mathematics
- Bachelor IT-Security 2016, compulsory, mathematics
- Bachelor Biophysics 2016, compulsory: aptitude test, mathematics
- Bachelor Medical Informatics 2014, compulsory, mathematics
- Bachelor Media Informatics 2014, compulsory, mathematics
- Bachelor MES 2014, compulsory: aptitude test, mathematics
- Bachelor Computer Science 2014, compulsory, mathematics
- Bachelor Medical Informatics 2011, compulsory, mathematics
- Bachelor CLS 2010, compulsory, mathematics
- Bachelor MES 2011, compulsory, mathematics
- Bachelor Computer Science 2012, compulsory, mathematics
Classes and lectures:
- Analysis 1 (exercise, 2 SWS)
- Analysis 1 (lecture, 4 SWS)
Workload:
- 125 hours private studies
- 90 hours in-classroom work
- 25 hours exam preparation
Contents of teaching:
- Sequences and series
- Functions and continuity
- Differentiability, Taylor series
- Metric and normalized spaces, basic topological concepts
- Multivariate differential calculus
Qualification-goals/Competencies:
- Students understand the basic terms of analysis, especially the concept of convergence.
- Students understand the basic thoughts and proof techniques and are able to use them for the analytical treatment of scientifially or technically motivated problems.
- Students can explain basic relationships in real analysis.
- Students can apply the basic concepts and proof techniques of differential calculus.
- 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:
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:
Admission requirements for taking the module:- None
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments during the semester
- Successful completion of e-tests
Modul exam:
- MA2000-L1: Analysis 1, written exam, 90 min, 100 % of module grade
Last Updated:
27.01.2022