PřF:MUC26 Conic sections and quadrics - Course Information
MUC26 Theory of conic sections and quadricsFaculty of Science
- Extent and Intensity
- 2/2/0. 4 credit(s). Type of Completion: zk (examination).
Taught in person.
- prof. RNDr. Josef Janyška, DSc. (lecturer)
RNDr. Jakub Novák (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
- Tue 16:00–17:50 M5,01013
- Timetable of Seminar Groups:
- 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.
- 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.
- - projective classification of quadrics;
- - affine properties of quadrics;
- - affime classification of quadrics;
- - metric properties of quadrics;
- - metric classification of quadrics.
- 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
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/sci/autumn2021/MUC26