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Module guide

Module MA2500-KP09

Analysis 2 (Ana2KP09)

Duration:


1 Semester
Turnus of offer:


each summer semester
Credit points:


9
Course of studies, specific field and terms:
  • 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:
Teachers:
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:
22.2.2022