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Rudiments of Geometry

General data

Course ID: 0600-MS1-2GEL Erasmus code / ISCED: 11.102 / (unknown)
Course title: Rudiments of Geometry Name in Polish: Geometria elementarna
Department: (in Polish) Zakład Podstaw Geometrii
Course groups: (in Polish) 2 rok 1 stopnia sem. letni Matematyka spec. Finansowa
(in Polish) 2 rok 1 stopnia sem. letni Matematyka spec. Teoretyczna
(in Polish) 3L stac. I st. studia matematyki - przedmioty obowiązkowe
ECTS credit allocation (and other scores): 5.00
view allocation of credits
Language: Polish
Type of course:

obligatory courses


(in Polish) w sali

Short description:

Course objectives: A student becomes familiar with basic notions of affine and metric affine geometry and with properties of transformations which preserve basic relations of these geometries.

Full description:

Course profile: academic

Form of study: stationary

Course type: obligatory

Academic discipline: Mathematics, field of study in the arts and science: mathematics

Year: 2, semester: 4

Prerequisities: Linear Algebra II, Elements of Logic and Set Theory

lecture 30 h. exercise class 30 h.

Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.

ECTS credits: 4

Balance of student workload:

attending lectures15x2h = 30h

attending exercise classes 7x4h + 2h(preliminary teaching) = 30h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x2h = 10h

the final examination: preparation.and take 15h + 4h = 19h

Quantitative description

Direct interaction with the teacher: 74 h., 2 ECTS

Practical exercises: 75 h., 3 ECTS

Learning outcomes:

Learning outcomes:

Knows basic techniques of the analytical affine geometry; in particular: he can determine equations of a line, a plane, and of an arbitrary subspace characterized in terms of their geometrical position, can solve problems where the affine cross ratio is involved, can apply the Ceva and the Menelaos Theorem.K_W04, K_U17, K_U18

Knows fundamental types of affine transformations and their analytical characterization, can characterize affine transformations determined by means of simple invariants.K_W04, K_W05, K_U20

Knows fundamental systems of notions used to characterize Euclidean Geometry (orthogonality, equidistance); can characterize mutual position of spheres and subspaces. Can use inversion to translate problems of inversive ((Moebius) geoemetry into the language of Euclidean Geometry and vice versa.K_W04, K_U17, K_U18

Knows and can use (in simple cases) principles of classification of isometries of Euclidean Spaces.K_W04, K_U17, K_U18

After completing the course student gets backgrounds enabling him to learn and develop classical geometry.K_W06, K_K01, K_K02

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

Classes in period "Academic year 2017/2018" (in progress)

Time span: 2017-10-01 - 2018-06-30
Choosen plan division:

see course schedule
Type of class: Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Krzysztof Belina-Prażmowski-Kryński
Group instructors: Krzysztof Belina-Prażmowski-Kryński, Krzysztof Petelczyc
Students list: (inaccessible to you)
Examination: Examination
Course descriptions are protected by copyright.
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