## Module Handbook

• Dynamischer Default-Fachbereich geändert auf MAT

# Course MAT-20-02-K-3

## 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

## Basedata

SWS 2S 3.0 CP = 90 h 1 Sem. in SuSe [3] Bachelor (Core) [DE] German Kämmerer, Florentine, Dr. (WMA | DEPT: MAT) [MAT-EDU] Mathematics (B.Ed./M.Ed.) [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.

## Contents

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).

## Literature

The literature will be announced together with the proseminar.

## Registration

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

None

None

## 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