M5510 Theory of conic sections and quadrics

Faculty of Science
Autumn 2015
Extent and Intensity
2/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Josef Janyška, DSc. (lecturer)
RNDr. Jan Vondra, 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
Thu 10:00–11:50 M5,01013
  • Timetable of Seminar Groups:
M5510/01: Tue 10:00–11:50 M5,01013, J. Vondra
Prerequisites
M4522 Geometry 3
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
Course objectives
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 and quadrics: projective and metric classification.
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
Teaching methods
Lecture with a seminar.
Assessment methods
Teaching: lectures, consultative exercises. 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.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, autumn 2017, Autumn 2019, Autumn 2020.
  • Enrolment Statistics (Autumn 2015, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2015/M5510