Rudiments of Geometry
General data
Course ID:  0600MS12GEL#a  Erasmus code / ISCED:  11.102 / (0541) Mathematics 
Course title:  Rudiments of Geometry  Name in Polish:  Rudiments of Geometry 
Department:  Faculty of Mathematics and Informatics  
Course groups: 
(in Polish) 3L stac. I st. studia matematyki  przedmioty obowiązkowe 

ECTS credit allocation (and other scores): 
5.00 view allocation of credits 

Language:  English  
Type of course:  obligatory courses 

Prerequisites:  Elements of Logic and Set Theory 0600MS11WDM#a 

Mode:  (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 2018/2019" (in progress)
Time span:  20181001  20190630 
see course schedule 
Type of class: 
Class, 30 hours more information Lecture, 30 hours more information 

Coordinators:  Jarosław Kotowicz  
Group instructors:  (unknown)  
Students list:  (inaccessible to you)  
Examination:  Examination 
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