IT Security

Free Electives

Modul MA2000-KP08, MA2000

Analysis 1 (Ana1KP08)

Duration:

1 Semester

Turnus of offer:

each winter semester

Credit points:

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 CLS 2010 (compulsory), mathematics, 1st 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:

Prof. Dr. rer. nat. Jürgen Prestin

Teachers:

Institute for Mathematics

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