#
MU:MU20007 Geometry - Course Information

## MU20007 Geometry

**Mathematical Institute in Opava**

Summer 2021

**Extent and Intensity**- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
**Teacher(s)**- RNDr. Petr Vojčák, Ph.D. (lecturer)
**Guaranteed by**- doc. RNDr. Michal Marvan, CSc.

Mathematical Institute in Opava **Timetable**- Mon 10:35–12:10 R1
- Timetable of Seminar Groups:

*P. Vojčák* **Prerequisites**(in Czech)-
**MU20001**Mathematical Analysis I &&**MU20005**Algebra I && TYP_STUDIA ( B ) **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**- Mathematical Methods and Modelling (programme MU, Bc-M)
- General Mathematics (programme MU, Bc-M)

**Course objectives**- The course introduces basic concepts, methods, and applications of affine and Euclidean geometry.
**Syllabus**- Affine and Euclidean spaces and subspaces, affine maps and isometries, affine and Cartesian coordinates.

Distance and inclination of subspaces in Euclidean space, the volume of a parallelepiped.

Applications in planimetry, stereometry, and coding theory.

Quaternions and their geometric applications.

Polygons and polyhedra, applications in geometric modelling.

- Affine and Euclidean spaces and subspaces, affine maps and isometries, affine and Cartesian coordinates.
**Literature**- M. Marvan.
*Geometrie lineárních útvarů*. 2010. URL info - I. Kaplansky.
*Linear algebra and geometry : a second course*. Boston, 1969. info

*required literature*- W.F. Osgood, W.C. Graustein.
*Plane and solid analytic geometry*. New York. info - R.G. Stanton, K.D. Fryer.
*Algebra and vector geometry*. 1972. info - C.W. Dodge.
*Euclidean geometry and transformations*. Reading, 1972. info - C.H. Lehmann.
*Analytic geometry*. London, 1956. info - P.K. Rees.
*Analytic geometry*. 1956. info - J.H. Kindle.
*Theory and Problems of Plane and Solid Analytic Geometry*. New York, 1950. info - J.M.H. Olmsted.
*Solid analytic geometry*. New York, 1947. info

*recommended literature*- M. Marvan.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- Study Materials

The course can also be completed outside the examination period. **Teacher's information**- The course comprises lectures and tutorials. To pass the course, the first step is to earn credit for tutorials (by earning 70% on a written test). The final exam, which consists of a written and on oral part, tests theoretical knowledge and understanding of the subject, including proofs.

- Enrolment Statistics (recent)

- Permalink: https://is.slu.cz/course/sumu/summer2021/MU20007