Module MA2500-KP09

Analysis 2 (Ana2KP09)

Duration:

1 Semester

Turnus of offer:

each summer semester

Credit points:

Course of studies, specific field and terms:

Bachelor IT-Security 2016 (optional subject), specific, Arbitrary semester
Minor in Teaching Mathematics, Bachelor of Arts 2023 (compulsory), mathematics, 6th semester
Bachelor CLS 2023 (compulsory), mathematics, 2nd semester
Minor in Teaching Mathematics, Bachelor of Arts 2017 (compulsory), mathematics, 6th semester
Bachelor CLS 2016 (compulsory), mathematics, 2nd semester

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

Requires:

Responsible for this module:

Prof. Dr. rer. nat. Jürgen Prestin

Teachers:

Institute for Mathematics

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.

Letzte Änderung:

20.4.2023