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Geometry I

General data

Course ID:	1000-135GM1
Erasmus code / ISCED:	11.173 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Geometry I
Name in Polish:	Geometria I
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	Elective courses for 1st degree studies in mathematics
ECTS credit allocation (and other scores):	6.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	Polish
Type of course:	elective courses
Short description:	The lecture presents selected properties of Euclidean figures and transformations.
Full description:	Congruence of plane figures. Similarity of plane figures. Selected properties of triangles. Homotethy. Isometries of the plane. Similarities of the plane.
Bibliography:	R.A. Johnson ,,Advanced Euclidean Geometry"
Learning outcomes:	Students: - prove and use basic theorems involving congruence and similarity of plane figures; - are familiar with basic theorems involving the properties of angles in circles, inscribed and circumscribed triangles, quadrilaterals and other polygons; - know and use theorems involving properties of parallel lines cutting an angle; - prove and use formulas for areas of common plane figures; - are familiar with relationships and theorems involving special lines in triangles and use them to solve problems; - understand and use the main theorems about homotethies, isometries and similarities of the Euclidean plane and their properties.
Assessment methods and assessment criteria:	(in Polish) Egzamin pisemny, ewentualnie dodatkowo egzamin ustny.

Classes in period "Winter semester 2023/24" (past)

Time span:	2023-10-01 - 2024-01-28	Selected timetable range: weekly course term Navigate to timetable MO TU W WYK CW TH FR
Type of class:	Classes, 30 hours more information Lecture, 30 hours more information
Coordinators:	Joanna Jaszuńska
Group instructors:	Joanna Jaszuńska
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

Classes in period "Winter semester 2024/25" (future)

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Navigate to timetable
Type of class:	Classes, 30 hours more information Lecture, 30 hours more information
Coordinators:	Waldemar Pompe
Group instructors:	Waldemar Pompe
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

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