714-0378/01 – Basic of Geometry (ZG)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantorRNDr. Milan Doležal, CSc.Subject version guarantorRNDr. Milan Doležal, CSc.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2006/2007Year of cancellation2011/2012
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BEL10 Mgr. Jana Bělohlávková
DOL10 RNDr. Milan Doležal, CSc.
DOS14 Mgr. Marie Dostálová
DUD88 Mgr. Krista Dudková
HOM44 PaedDr. Zdenka Homolová
SKA74 Mgr. Sylvie Skalníková
TUM20 RNDr. Milan Tůma
VRB30 RNDr. Helena Vrbenská
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+1

Subject aims expressed by acquired skills and competences

• to train development of space abilities • to handle by different types of projection methods, to understand to their principles, to be familiar with their properties, advantages and disadvantages • to acquaint with geometric characteristics of curves and surfaces that are used in technical practice of a given specialization

Teaching methods

Individual consultations
Tutorials
Other activities

Summary

To studies there are accepted students from different types of secondary school, on which there is dissimilar content and extent of teaching geometry. Also students’ knowledge is on greatly different level. Thereby in the first term of studies it was established the subject Base of constructive geometry and its destination is to repeat basic concepts of secondary school plane and solid geometry, to develop three-dimensional imagination and try to get students’ level on certain basic standard, which is indispensable to other successful study. Within framework of project Study support with weight of prevail distant elements for subjects of theoretical study base there were created interactive study materials for this subject, whose performance is object of this contribution

Compulsory literature:

Odvárko, O.: Matematika pro gymnázia, konstruktivní geometrie. Prometheus, Praha 1994, ISBN 80-7196-000-4 Pomykalová, E.: Matematika pro gymnázia, stereometrie. Prometheus, Praha 1995, ISBN 80-7196-004-7 Boček, L.-Kadleček, J.: Základy stereometrie. SPN, Praha 1986. http://www.studopory.vsb.cz

Recommended literature:

Molnár, J.-Kobza, J.: Extremální a kombinatorické úlohy z geometrie. SPN, Praha 1990, ISBN 80-04-24011-9

Way of continuous check of knowledge in the course of semester

zápočet Účast ve cvičení je povinná, 20 % neúčasti lze omluvit. Absolvování závěrečného testu, za který je nutno získat minimálně 25 b. (ze 100 b. možných).

E-learning

http://www.studopory.vsb.cz http://mdg.vsb.cz

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Exercise: 1. Introduction to plane geometry- basic geometric elements 2. Geometrical mappings –reflections , rotations, translations, dilations. A locus problems. 3. Circle – problems on circles, tangent 4. Stereometry 5. Axial affinity 6. Affinity between two planes – solid section 7. Final test

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation Credit 100 (100) 25
        Written exam Written test 100  25
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2010/2011 (B2341) Engineering P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2341) Engineering P Czech Šumperk 1 Compulsory study plan
2010/2011 (B3712) Air Transport Technology (3708R036) Air Operation Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2341) Engineering P Czech Šumperk 1 Compulsory study plan
2009/2010 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering P Czech Šumperk 1 Compulsory study plan
2009/2010 (B2341) Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3712) Air Transport Technology (3708R036) Air Operation Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2341) Engineering P Czech Šumperk 1 Compulsory study plan
2008/2009 (B2341) Engineering P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3712) Air Transport Technology (3708R036) Air Operation Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering P Czech Šumperk 1 Compulsory study plan
2007/2008 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner