Course: Geometry I

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Course title Geometry I
Course code KMA/GE1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 2
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Pech Pavel, prof. RNDr. CSc.
Course content
Conic sections. Focal properties. Canonical form of a conic equation. Tangent, pole, polar, conjugate diameters. Principal directions. Characteristic equation. Quadrics. Canonical form of an equation. Tangent and polar plane. Classification of quadrics by characteristic equations. Algebraic curves and surfaces of a higher order.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Demonstration, Graphic and art activities
  • Preparation for exam - 56 hours per semester
Learning outcomes
Conic sections. Focal properties. Canonical form of a conic equation. Tangent, pole, polar, conjugate diameters. Principal directions. Characteristic equation. Quadrics. Canonical form of an equation. Tangent and polar plane. Classification of quadrics by characteristic equations. Algebraic curves and surfaces of a higher order.
knowledge of basic properties of conics, geometric and algebraic approach, basic properties of quadrics
Prerequisites
none

Assessment methods and criteria
Oral examination, Written examination

basic properties of conics, geometric and algebraic approach, basic properties of quadrics
Recommended literature
  • PECH, P.:. Kuželosečky, České Budějovice, PF JU, 2004..
  • SEKANINA, M. A KOL.:. Geometrie II..


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 2 Recommended year of study:2, Recommended semester: Winter