Module MA2500-KP08

Duration

1 Semester

Turnus of offer

each summer semester

Credit points

8

Course of studies, specific fields and terms:

• Bachelor IT-Security 2016, optional subject, specific
• Bachelor MES 2014, compulsory, mathematics
• Bachelor MES 2020, compulsory, mathematics
• Bachelor Biophysics 2016, compulsory, mathematics

Classes and lectures:

• Analysis 2 (exercise, 2 SWS)
• Analysis 2 (lecture, 4 SWS)

Workload:

• 25 hours exam preparation
• 90 hours in-classroom work
• 125 hours private studies

Contents of teaching:

• Advanced multivariate differential calculus
• Integral calculus for functions of one real variable (indefinite integrals, antiderivatives, substitution, partial fractions, definite integrals, fundamental theorem of calculus)
• Curvilinear integrals, bounded variation
• Function series, power series
• Fourier series (trigonometric polynomials, convergence)
• Linear operators in Hilbert spaces

Qualification-goals/Competencies:

• Students understand the advanced terms of analysis, such as even convergence.
• Students understand the advanced thoughts and proof techniques.
• Students can apply the advanced concepts and proof techniques.
• Students can explain advanced relationships in analysis.
• 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:

• Analysis 1 (MA2000-KP09)
• Analysis 1 (MA2000-KP08, MA2000)

Responsible for this module:

• Prof. Dr. rer. nat. Jürgen Prestin

Teacher:

• Institute for Mathematics
• Prof. Dr. rer. nat. Jürgen Prestin

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:

Last Updated:

08.02.2023