Affine and Projective Geometry
General data
Course ID:  0600MS13GAR#a  Erasmus code / ISCED:  11.103 / (0541) Mathematics 
Course title:  Affine and Projective Geometry  Name in Polish:  Affine and Projective 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): 
4.00 view allocation of credits 

Language:  English  
Type of course:  obligatory courses 

Prerequisites:  Algebra I 0600MS12ALG1#a 

Short description: 
Course objectives: Understanding elements of projective (and affine) geometry to the extend necessary to listen to specialized lectures. 

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: 3, semester: 5 Prerequisities: Rudiments of Geometry, Algebra I 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 and understands notions of an affine and of a projective space; via the operations of the projective completion and of the affiine reduction he can transform problems of affine geometry to the framework of projective geometry and vice versa. K_W01, K_W02, K_W06, K_U01, K_K01 Knows roles of fundamental configurational axioms: Minor and Major Desargues Axiom, Minor and Major Pappus Axiom.K_W01, K_W02, K_W06, K_U01, K_K01 Knows the structure of subspaces of a projective space: can determine meets of subspaces and subspaces spanned by systems of subspaces.K_W01, K_W02, K_W06, K_U01, K_K01 Knows analytical characterizations of collineations and correlations of (Pappian) projective spaces; knows the role of Chasles Theorem and the role of cross ratio invariance in this context.K_W01, K_W02, K_W06, K_U01, K_K01 Knows how collineations act on the family of subspaces; knows the Chow Theorem.K_W01, K_W02, K_W06, K_U01, K_K01 

Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2018/2019" (future)
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 
Copyright by University of Bialystok.