PřF:MUC26 Conic sections and quadrics - Course Information
MUC26 Theory of conic sections and quadrics
Faculty of ScienceAutumn 2024
- Extent and Intensity
- 2/2/0. 4 credit(s). Type of Completion: zk (examination).
In-person direct teaching - Teacher(s)
- prof. RNDr. Josef Janyška, DSc. (lecturer)
Mgr. Pavel Francírek, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Tue 12:00–13:50 M1,01017
- Timetable of Seminar Groups:
MUC26/02: Wed 14:00–15:50 M2,01021, P. Francírek - Prerequisites
- MUC23 Analytical Geometry 2
Knowledge of Geometry II and M4522 Geometry III. - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- there are 11 fields of study the course is directly associated with, display
- Course objectives
- The goals of the course are:
- application of analytical methods to study of conic sections in the projective, affine and euclidean plane;
- application of analytical methods to study of quadrics in the projective, affine and euclidean space;
- support spatial imagination of students. - Learning outcomes
- At the end of the course students should be able to:
- understand and explain complex extension of vector and affine spaces;
- work with bilinear and quadratic forms;
- understand the theory of conic sections and quadrics, especially projective and metric classification;
- interpret algebraic results in the geometrical sense. - Syllabus
- Complex extension of vector and affine spaces.
- Projective extension of affine and Euclidean spaces.
- Bilinear and quadratic forms.
- Conic sections:
- - projective classification of conic sections;
- - affine properties of conic sections;
- - affine classification of conic sections;
- - metric properties of conic sections;
- - metric classification of conic sections.
- Quadrics:
- - projective classification of quadrics;
- - affine properties of quadrics;
- - affime classification of quadrics;
- - metric properties of quadrics;
- - metric classification of quadrics.
- Literature
- recommended literature
- SEKANINA, Milan. Geometrie. D. 2, Sv. 2. Praha: SPN, 1988, 307 s. info
- JANYŠKA, Josef and Anna SEKANINOVÁ. Analytická teorie kuželoseček a kvadrik. Vyd. 1. Brno: Masarykova univerzita, 1996, iii, 178. ISBN 8021014350. info
- not specified
- KENDIG, Keith. Conics. [Washington, D.C.]: Mathematical Association of America, 2005, xvi, 403. ISBN 0883853353. info
- Teaching methods
- Lecture with a seminar.
- Assessment methods
- Exam: written and oral. Current requirements: Written tests in exercises. Student's presence in exercises is obligatory.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/sci/autumn2024/MUC26