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) 


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

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 

Study plans that include the course 
Faculty  Study plan (Version)  Category of Branch/Specialization  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 