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 |
Basedata
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 |
+ 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.
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)
Requirements for attendance (informal)
None
Requirements for attendance (formal)
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 |