Website
Curriculum

Modul MA2000-KP08, MA2000

Analysis 1 (Ana1KP08)

Duration:


1 Semester
Turnus of offer:


each winter semester
Credit points:


8
Course of studies, specific field and terms:
  • Bachelor CLS 2023 (compulsory), mathematics, 1st semester
  • Minor in Teaching Mathematics, Bachelor of Arts 2023 (compulsory), mathematics, 5th semester
  • Bachelor MES 2020 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Media Informatics 2020 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Computer Science 2019 (compulsory), mathematics, 1st semester
  • Bachelor Robotics and Autonomous Systems 2020 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Medical Informatics 2019 (compulsory), mathematics, 1st semester
  • Minor in Teaching Mathematics, Bachelor of Arts 2017 (compulsory), mathematics, 5th semester
  • Bachelor Computer Science 2016 (compulsory), mathematics, 1st semester
  • Bachelor CLS 2016 (compulsory), mathematics, 1st semester
  • Bachelor Robotics and Autonomous Systems 2016 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor IT-Security 2016 (compulsory), mathematics, 1st semester
  • Bachelor Biophysics 2016 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Medical Informatics 2014 (compulsory), mathematics, 1st semester
  • Bachelor Media Informatics 2014 (compulsory), mathematics, 1st semester
  • Bachelor MES 2014 (compulsory: aptitude test), mathematics, 1st semester
  • Bachelor Computer Science 2014 (compulsory), mathematics, 1st semester
  • Bachelor Medical Informatics 2011 (compulsory), mathematics, 3rd semester
  • Bachelor MES 2011 (compulsory), mathematics, 1st semester
  • Bachelor Computer Science 2012 (compulsory), mathematics, 3rd semester
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
Is requisite for:
Responsible for this module:
Teachers:
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

Letzte Änderung:
27.1.2022