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Course, academic year 2024/2025
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Conic Sections - O02310014
Title: Kuželosečky
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2013
Semester: both
E-Credits: 3
Hours per week, examination: 2/1, MC [HT]
Capacity: winter:unknown / unknown (999)
summer:unknown / unknown (999)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Explanation: Rok2
Old code: KUŽE
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
you can enroll for the course in winter and in summer semester
Guarantor: doc. RNDr. Antonín Jančařík, Ph.D.
Classification: Mathematics > Geometry
Pre-requisite : O02310009
Is pre-requisite for: OSOZ1M, O0231SOUB
Annotation -
Definitions and classification of conic sections. Affine and metric properties of conic sections. Synthetic geometry of conic sections, constructions. Quadrics.
Last update: ZHOUF/PEDF.CUNI.CZ (22.02.2009)
Aim of the course -

The goal is to introduce basic properties of conic sections and their relation to linear figures in a plane.

Last update: ZHOUF/PEDF.CUNI.CZ (22.02.2009)
Literature -

Boček, L.: Analytická geometrie kuželoseček. Praha : SPN 1976.

Hlaváček, A.,: Sbírka řešených příkladů z vyšší matematiky. Praha : SPN 1971.

Charvát, J., Janeček, F.: Analytická geometrie. Praha : Prometheus 1998.

Kočandrle, M., Boček, L.: Analytická geometrie. Praha : Prometheus 1994.

Maňásková, E.: Sbírka úloh z deskriptivní geometrie. Praha : Prometheus 2004.

Menšík, M., Setzer, O., Špaček, K.: Deskriptivní geometrie. Praha : SPN 1987.

Mída, J.: Kuželosečky. Praha : PedF UK 1996.

Petáková, J.: Matematika - příprava k maturitě a přijímacím zkouškám na vysoké školy. Praha : Prometheus 1997.

Last update: ZHOUF/PEDF.CUNI.CZ (22.02.2009)
Teaching methods -

Lecture and seminar.

Last update: ZHOUF/PEDF.CUNI.CZ (22.02.2009)
Requirements to the exam - Czech

Docházka, aktivní účast, závěrečný test.

Last update: ZHOUF/PEDF.CUNI.CZ (23.01.2012)
Syllabus -

Revision of secondary school knowledge.

Definitions of conic sections.

Affine properties of conic sections.

Classification of conic sections.

Metric properties of conic sections.

Synthetic geometry and construction of conic sections.

Quadrics.

Last update: ZHOUF/PEDF.CUNI.CZ (22.02.2009)
 
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