Affine and Projective Geometry
General data
| Course ID: | 0600-MS1-3GAR#a | Erasmus code / ISCED: |
11.103
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(0541) Mathematics
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| 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 |
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| ECTS credit allocation (and other scores): |
4.00  view allocation of credits |
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| Language: | English | ||
| Type of course: | obligatory courses |
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| Prerequisites: | Algebra I 0600-MS1-2ALG1#a |
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| Short description: |
Course objectives: Understanding elements of projective (and affine) geometry to the extend necessary to listen to specialized lectures. |
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| 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 |
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| 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 |
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| Assessment methods and assessment criteria: |
The overall form of credit for the course: final exam |
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Classes in period "Academic year 2018/2019" (in progress)
| Time span: | 2018-10-01 - 2019-06-30 |
 
 see course schedule |
| Type of class: |
Class, 30 hours more information Lecture, 30 hours more information |
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| Coordinators: | Jarosław Kotowicz | |
| Group instructors: | (unknown) | |
| Students list: | (inaccessible to you) | |
| Examination: | Examination |
Copyright by University of Bialystok.