Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-10-12A-K-2

Fundamentals of Mathematics II: Analysis (4V+2U, 8.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 8.0 CP 156 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
(4V+2U) 8.0 CP 84 h 156 h

Basedata

SWS 4V+2U
CP, Effort 8.0 CP = 240 h
Position of the semester 1 Sem. in WiSe/SuSe
Level [2] Bachelor (Fundamentals)
Language [DE] German
Lecturers
Lecturers of the department Mathematics
Area of study [MAT-MaNF] Special Offers for Mathematics as a Minor
Livecycle-State [NORM] Active

Notice

The course is part of the course [MAT-10-12-K-2] and covers only the topics of analysis. The respective lecture weeks will be announced in the course. Students who want to take this course should contact the lecturer before or at the beginning of the course.

Possible Study achievement

  • Verification of study performance: proof of successful participation in the exercise classes (incl. written examination)
  • Examination number (Study achievement): 80115 ("Exercise: Fundamentals of Mathematics II: Analysis")
  • Details of the examination (type, duration, criteria) will be announced at the beginning of the course.
    Qualified proof of successful participation in the exercise classes requiring active participation in the exercises, successful completion of homework and passing the final exam for the exercise classes. The latter is part of the final exam for the exercise classes of [MAT-10-12-K-2].

Contents

  • basic topological terms (metric spaces, connection, compactness),
  • differentiation (in the multidimensional case) - in particular:Taylor expansion, curves, implicit functions theorem, inverse function theorem, extremes under constraints,
  • integration (multidimensional) - in particular: Fubini's theorem, variable transformation.

Literature

  • O. Forster: Analysis 2,
  • H. Heuser: Lehrbuch der Analysis, Teil 2,
  • M. Barner, F. Flohr: Analysis II,
  • K. Königsberger: Analysis 2.

Materials

Further literature will be announced in the lecture(s); exercise material is provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance (informal)

Profound knowledge of one-dimensional Analysis and Linear Algebra, e.g. from the courses [MAT-10-11A-K-2] and [MAT-10-11B-K-2] or from the modules [MAT-02-13-M-1] and [MAT-02-11-M-1].

Requirements for attendance (formal)

None

References to Course [MAT-10-12A-K-2]

Module Name Context
[MAT-10-12A-M-2] Fundamentals of Mathematics II: Analysis P: Obligatory 4V+2U, 8.0 LP