MA2RC_GEO1 Geometry 1

Faculty of Education
Autumn 2010
Extent and Intensity
0/0/16. 4 credit(s). Type of Completion: k (colloquium).
Teacher(s)
RNDr. Marta Francová, CSc. (lecturer)
Guaranteed by
PhDr. Jiřina Novotná, Ph.D.
Department of Mathematics – Faculty of Education
Prerequisites
Prerequisites:knowledge in algebra, especialy vector spaces, matrixs calculus, determinants, solution of linear equations.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
At the end of this course, students should be able to: understand and be able to give insight intu the following concepts and problems. Affine space and of its subspaces, coordinate system (affine and rectangular Cartesian), anylytical representation subspaces (parametric and literal equations), relative position: parallel, intersecting and skew subspaces, subspaces of Euclidean spaces, its perpendicularity, distances and deviations, scalar product, external product, vector product, Gramm eterminant.Students should be able to solve problems and exercises for reasons areas.
Syllabus
  • Affine space, subspace of affine spaces.
  • Affine coordinate system.
  • Relative position: parallel, intersecting and skew subspaces.
  • Euclidean space, Cartesian coordinate system.
  • Subspaces of Euclidean spaces: perpendicularity, distances and deviations
Literature
  • HORÁK, Pavel and Josef JANYŠKA. Analytická geometrie. Brno: Masarykova univerzita v Brně, 1997, 151 s. ISBN 80-210-1623-X. info
Teaching methods
Lectures, individual study, consultations.
Assessment methods
Colloquium, individual home work, at the examination period written test and discussion.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: in blocks.
The course is also listed under the following terms Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2019, autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (Autumn 2010, recent)
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