Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-20-02-K-3

Proseminar Elementary Mathematics from a Higher Perspective (2S, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 S Proseminar 3.0 CP 28 h 62 h
(2S) 3.0 CP 28 h 62 h


CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. in SuSe
Level [3] Bachelor (Core)
Language [DE] German
+ further 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 proseminar
  • Details of the examination (type, duration, criteria) will be announced at the beginning of the course.


Selected topics on elementary mathematics from a higher perspective, in particular:
  • geometry (symmetries, areas and volumes, geometric introduction to infinitesimal calculus, analytic geometry);
  • numbers (prime numbers, elementary number theory, complete induction, Pascal's triangle, number structure from N via ℤ to Q, order relations, the real numbers ℝ, countability and uncountability, complex numbers C);
  • probability theory and statistics (probability theory of finite event spaces: throwing dices, drawing balls with and without putting them back, drawing coloured balls, etc. ; elementary combinatorics, binomial distribution);
  • graph theory (nodes and edges, paths, circles, Hamiltonian circles, spanning trees, shortest paths, networks and flows);
  • set theory (sets, families of sets, equivalence relations, functions).


The literature will be announced together with the proseminar.


Registration via the online administration system URM (

Requirements for attendance (informal)


Requirements for attendance (formal)


References to Course [MAT-20-02-K-3]

Module Name Context
[MAT-20-00-M-2] Specialised Scientific and Didactic Requirements WP: Obligation to choose in Obligatory-Modulteil #B (Elementary mathematics) 2S, 3.0 LP