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Descriptive geometry

General data

Course ID: 1300-OGPR1ZW
Erasmus code / ISCED: 11.101 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Descriptive geometry
Name in Polish: Geometria przestrzenna
Organizational unit: Faculty of Geology
Course groups: Requisite subjects for the first semester first year of first degree studies in prospecting geology
ECTS credit allocation (and other scores): 2.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.
Language: Polish
Type of course:

obligatory courses

Prerequisites (description):

(in Polish) Student powinien posiadać podstawową wiedzę z:

- geometrii rzutowej,

- geometrii euklidesowej.

Short description:

The projection with elevations: projection of points, lines, planes, analysis of mutual relations of geometric figures in space and flat projection – conditions of parallelism and perpendicularity and measurement issues –true length and angles.

Presentation of the parameters of geological structural surface on a map: selection of scale in geological works, apparent and true dips of structural surfaces.

Geometrical analysis of basic geological structures: monoclines, synclines, anticlines and faults. Monge‘s projections.

Full description:

The lecture covers:

Introduction to the descriptive geometry, sort of projections, history of developent of projection methods and mapping of elements in space – 1 hour.

The projection with elevations: the representation of lines, planes, curved surfaces, analysis of mutual relations of geometric figures in space and flat projection – 3 hours.

Presentation of the parameters of geological structural surface on a map. Selected measurement issues: selection of scale in geological works, distortion of distances and angles in superelevations of stratigraphic section, apparent and true dips of structural surfaces – 4 hours.

Geometrical representation of the results of drilling and mining – 3 hours.

Computer visualization of measurement structures in 3D – 1 hour.

The use of computer graphic software in the analysis of geological studies – 1 hour.

Monge‘s projections: image of geometrical elements and measurement issues in relation to the analysis of large-scale photographs of geological outcrops – 2 hours.

Bibliography: (in Polish)

BOGDAŃSKA, J. 2000. Ćwiczenia z geometrii przestrzennej. Wydawnictwa UW; Warszawa.

GLAZER, Z., WYSOKIŃSKI, L. 1991. Geometria wykreślna dla geologów. Wydawnictwa Geologiczne; Warszawa.

Learning outcomes:

After the course a student:

draws basic elements of space on a plane in the projection with elevations,

analyses mutual relations of geometrical elements in space and in flat projection – perpendicularity and parallelism,

determines measurement structures: angles and true length,

presents parameters of geological structural surface on a map,

determines true strike and dip on the basis of the results of drilling,

determines true strike and dip on the basis of measurements conducted on walls of geological outcrops,

determines true thickness of a layer on the basis of the results of drilling,

uses the principles of geological intersection,

analyses the geological structure on the basis of an intersection map as well as morphological and geological cross-section.

Assessment methods and assessment criteria:

Requirements of the exam:

- knowledge of the meterial presented during the lectures,

- knowledge gained during exercises.

Practical placement: (in Polish)

brak

Classes in period "Winter semester 2023/24" (past)

Time span: 2023-10-01 - 2024-01-28
Selected timetable range:
Navigate to timetable
Type of class:
Lecture, 30 hours, 105 places more information
Coordinators: Dominik Łukasiak
Group instructors: Dominik Łukasiak
Students list: (inaccessible to you)
Examination: Course - Examination
Lecture - Examination
Course descriptions are protected by copyright.
Copyright by University of Warsaw.
Krakowskie Przedmieście 26/28
00-927 Warszawa
tel: +48 22 55 20 000 https://uw.edu.pl/
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