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Geometry I

General data

Course ID:	1000-135GM1
Erasmus code / ISCED:	11.173 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (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 2024/25" (past)

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Go to timetable MO WYK CW TU W TH CW FR
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)
Credit:	Course - Examination Lecture - Examination

Classes in period "Winter semester 2025/26" (future)

Time span:	2025-10-01 - 2026-01-25	Selected timetable range: weekly course term Go to timetable MO WYK CW TU W TH FR
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)
Credit:	Course - Examination Lecture - Examination

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