Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-10-12L-K-2

Fundamentals of Mathematics II (for Students of Teacher Training Programmes) (4V+2U, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 9.0 CP 186 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
(4V+2U) 9.0 CP 84 h 186 h

Basedata

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. in WiSe
Level [2] Bachelor (Fundamentals)
Language [DE] German
Lecturers
Lecturers of the department Mathematics
Area of study [MAT-EDU] Mathematics (B.Ed./M.Ed.)
Livecycle-State [NORM] Active

Possible Study achievement

  • Verification of study performance: proof of successful participation in the exercise classes (ungraded)
  • Examination number (Study achievement): 81109 ("Fundamentals of mathematics II for Bachelor of education")
  • Details of the examination (type, duration, criteria) will be announced at the beginning of the course.

Contents

  • basic topological concepts
  • differentiation (multi-dimensional),
  • integration (multi-dimensional),
  • geometry of the Euclidian space,
  • eigenvalues, diagonalisability, principal axis theorem.

Literature

  • G. Fischer: Lineare Algebra,
  • K. Jänich: Lineare Algebra,
  • H.-J. Kowalsky, G.O. Michler: Lineare Algebra,
  • S. Bosch: Lineare Algebra,
  • 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)

Modules:

Requirements for attendance (formal)

None

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

Module Name Context
[MAT-10-12L_ERW-M-2] Fundamentals of Mathematics B: Linear Algebra II and Analysis II P: Obligatory in Obligatory-Modulteil #B (Fundamentals of Mathematics II for Students of Teacher Training Programmes) 4V+2U, 9.0 LP
[MAT-10-12L-M-2] Fundamentals of Mathematics B: Linear Algebra II and Analysis II P: Obligatory 4V+2U, 9.0 LP