Module MA2500-KP09
Analysis 2 (Ana2KP09)
Duration
1 Semester
Turnus of offer
each summer semester
Credit points
9
Course of studies, specific fields and terms:
- Bachelor IT-Security 2016, optional subject, specific
- Minor in Teaching Mathematics, Bachelor of Arts 2023, compulsory, mathematics
- Bachelor CLS 2023, compulsory, mathematics
- Minor in Teaching Mathematics, Bachelor of Arts 2017, compulsory, mathematics
- Bachelor CLS 2016, compulsory, mathematics
Classes and lectures:
- Analysis 2 (exercise, 3 SWS)
- Analysis 2 (lecture, 4 SWS)
Workload:
- 130 hours private studies
- 110 hours in-classroom work
- 30 hours exam preparation
Contents of teaching:
- Advanced multivariate differential calculus
- Integral calculus for functions of one real variable (indefinite integrals, antiderivatives, substitution, partial integration, definite integrals, fundamental theorem of calculus)
- Curvilinear integrals, bounded variation
- Function series, power series
- Fourier series (trigonometric polynomials, convergence)
- Linear operators in Hilbert spaces
- Working with the programming language Mathematica
Qualification-goals/Competencies:
- Students understand the advanced terms of analysis, such as even convergence.
- Students understand the advanced thoughts and proof techniques of real analysis.
- Students can apply the advanced concepts and proof techniques.
- Students can explain advanced relationships in analysis. Interdisciplinary qualifications:
- Interdisciplinary qualifications:
- Students can transfer advanced theoretical concepts to similar applications.
- Students have an advanced competence in modeling.
- Students can work as a group on complex mathematical problems.
Grading through:
- written exam
Responsible for this module:
Literature:
- H. Heuser : Lehrbuch der Analysis 1+2
- K. Fritzsche : Grundkurs 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 (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments during the semester
- Successful completion of e-tests and Mathematica notebooks
Module exam(s):
- MA2500-L1: Analysis 2, written exam, 90 min, 100 % of module grade
Module MA2500-KP09 is identical to module MA2500-MML.
Last Updated:
20.04.2023