Course MAT-20-02-K-3

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

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

SWS	2S
CP, Effort	3.0 CP = 90 h
Position of the semester	1 Sem. in SuSe
Level	[3] Bachelor (Core)
Language	[DE] German
Lecturers	Kämmerer, Florentine, Dr. (WMA \| DEPT: MAT) + further Lecturers of the department Mathematics
Area of study	[MAT-EDU] Mathematics (B.Ed./M.Ed.)
Livecycle-State	[NORM] Active

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 (https://urm.mathematik.uni-kl.de)

None

None

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