Rudiments of Geometry 360-MS1-2GELa
Course profile: academic
Form of study: stationary
Course type: obligatory
Academic discipline: science and natural science, field of study in the arts and science: mathematics
Year: 2, semester: 4
Prerequisities: none
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
Rodzaj przedmiotu
Koordynatorzy przedmiotu
Efekty kształcenia
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.
Knows fundamental types of affine transformations and their analytical characterization, can characterize affine transformations determined by means of simple invariants.
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.
Knows and can use (in simple cases) principles of classification of isometries of Euclidean Spaces.
After completing the course student gets backgrounds enabling him to learn and develop classical geometry.
KA6_WG03, KA6_UW10, KA6_WG04, KA6_WG02, KA6_KK01, KA6_UU01
Kryteria oceniania
The overall form of credit for the course: final exam
Więcej informacji
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