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Course, academic year 2023/2024
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Descriptive geometry III - NMUG201
Title: Deskriptivní geometrie III
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: winter
E-Credits: 8
Hours per week, examination: winter s.:4/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Additional information: http://www.karlin.mff.cuni.cz/~jole/deskriptiva/DG3.html
Guarantor: RNDr. Jana Hromadová, Ph.D.
RNDr. Petra Surynková, Ph.D.
Class: M Bc. DGZV
M Bc. DGZV > Povinné
M Bc. DGZV > 2. ročník
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility : NMTD201
Interchangeability : NDGE005, NMTD201
Is incompatible with: NMTD201
Is interchangeable with: NMTD201, NDGE005
Annotation -
Last update: RNDr. Petra Surynková, Ph.D. (13.09.2013)
Central projections, linear perspective and its application (constructive photogrammetry, perspective and affine relief). Surfaces of revolution.
Course completion requirements -
Last update: RNDr. Petra Surynková, Ph.D. (28.10.2019)

Credit

1. Regular attendance at seminars. 3 absences are allowed as the maximum.

2. Active participation at seminars; the student does not hesitate to use drawing tools when practicing the subject matter.

3. Submission of three homework (2x drawings, one physical model) which will be assigned during the semester.

Exam

The examination requirements correspond to the syllabus of the subject given in the SIS.

The exam consists of written and oral theoretical part. Written part - three examples (two examples are necessary to proceed to the oral examination).

For admission to the exam, it is necessary to submit at least two of the three homework, the third one can be submitted after the exam.

Literature -
Last update: T_KDM (29.04.2013)
  • Urban, A. Deskriptivní geometrie I., SNTL, Praha, 1965.
  • Urban, A. Deskriptivní geometrie II., SNTL, Praha, 1965.
  • Kadeřávek, F., Klíma, J., Kounovský, J. Deskriptivní geometrie I., JČMF, Praha, 1929.
  • Drábek, K., Harant, F., Setzer, O. Deskriptivní geometrie I., SNTL, Praha, 1978.
  • Kadeřávek, F., Klíma, J., Kounovský, J. Deskriptivní geometrie II., JČMF, Praha, 1929.
  • Filip, J., Veselý, F. Sbírka úloh z deskriptivní geometrie, Přírodovědecké nakladatelství, Praha, 1952.
  • Havlíček, K. Úvod do projektivní geometrie kuželoseček, SNTL, Praha, 1956.

Requirements to the exam -
Last update: RNDr. Petra Surynková, Ph.D. (28.10.2019)

The exam consists of written and oral theoretical part. Written part - three examples (two examples are necessary to proceed to the oral examination).

The student is entitled to have one regular and two retake exams.

Syllabus -
Last update: RNDr. Petra Surynková, Ph.D. (13.09.2013)
  • Constructions of conic sections using central collineation.
  • Central projection.
  • Linear perspective.
  • Constructive photogrammetry.
  • Perspective and affine relief.
  • Surfaces of revolution of degree 2.
 
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