Course Unit Code | 310-2116/01 |
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Number of ECTS Credits Allocated | 4 ECTS credits |
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Type of Course Unit * | Compulsory |
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Level of Course Unit * | First Cycle |
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Year of Study * | First Year |
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Semester when the Course Unit is delivered | Summer Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | Czech |
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Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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Name of Lecturer(s) | Personal ID | Name |
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| OTI73 | Mgr. Petr Otipka, Ph.D. |
Summary |
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The course focuses on the cultivation of logical thinking, develop spatial imagination, learn the basics of parametric modeling in space. |
Learning Outcomes of the Course Unit |
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Students will become familiar with the use of vector calculus in geometry, linear transformation capabilities for geometric objects and foundations parameterization technical areas. Practical use of this knowledge will be used to create objects for 3D printing. |
Course Contents |
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Lectures
1) Euclidean space, geometric vector, vector operations, own numbers and own vectors.
2) Plane, straight line, mutual position of linear units in E3.
3) Metric properties of linear formations, volume of parallelepiped.
4) Conics.
5) Quadrics in basic position.
6) Cylindrical surfaces.
7) Screws.
8) Screw lines.
9) Screw circular surfaces.
10) One-part hyperboloid, hyperbolic paraboloid.
11) Konoids - circular, parabolic.
12) Conusoids - sloping passage, Marseille and Monpelliers arch.
13) Transition areas.
14) Reserve
Exercises
- relevant topics from lectures using computer technology will be practiced
- Students will be familiar with FDM 3D printing issues
1a) Euclidean space, geometric vector, vector operations, own numbers and own vectors.
1b) Parametric software for creating STL models and slicers.
2a) Plane, straight line, mutual position of linear units in E3.
2b) Basic objects for modeling (cube, sphere, cylinder).
3a) Metric properties of linear formations, volume of parallelepiped.
3b) Transformation (displacement, rotation, resizing).
4a) Conic.
4b) Variables, cycle for, condition if.
5a) Quadrics in basic position.
5b) Design and basic components of the 3D printer, its assembly and calibration.
6a) Cylindrical surfaces.
6b) Introduction to basic 3D printing technologies, available printers, 3D printing materials.
7a) Screws.
7b) Preparing the print area.
8a) Screw lines.
8b) Optimize wall thickness and fill of printed objects.
9a) Screw circular surfaces.
9b) Support mechanisms for printing complex objects.
10a) One-part hyperboloid, hyperbolic paraboloid.
10b) Cleaning the 3D printer.
11a) Conoids - circular, parabolic.
11b) Preparation of multi-material printing.
12a) Conusoids - Marseille and Monpelliers arch.
12b) Special print materials.
13a) Transition areas.
13b) Tools for modifying STL networks.
14) Preparation of a semester project. |
Recommended or Required Reading |
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Required Reading: |
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ČERNÝ, Jaroslav. Geometry. Praha: Vydavatelství ČVUT, 1996. ISBN 80-01-01535-1.
Signatura: 256952 |
BURDA, Pavel, Radim HAVELEK a Radoslava HRADECKÁ. Algebra a analytická geometrie: matematika I. Ostrava: VŠB - Technická univerzita Ostrava, 1997. ISBN 80-7078-479-2.
Signatura: 250054
BUDINSKÝ, Bruno. Analytická a diferenciální geometrie. Praha: SNTL - Nakladatelství technické literatury, 1983.
Signatura: 179478
ŽÁRA, Jiří. Moderní počítačová grafika. 2. přeprac. a rozš. vyd. Brno: Computer Press, 2004. ISBN 80-251-0454-0.
Signatura: 250164
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Recommended Reading: |
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STILLWELL, John. Geometry of surfaces. New York: Springer, c1992. ISBN 0-387-97743-0.
Signatura: 247063
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http://mi21.vsb.cz/modul/linearni-algebra
http://www.studopory.vsb.cz/studijnimaterialy/MatematikaI/MI.html |
Planned learning activities and teaching methods |
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Lectures, Tutorials, Project work |
Assesment methods and criteria |
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Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
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Graded credit | Graded credit | 100 (100) | 51 |
Written test | Written test | 50 | 25 |
Project | Semestral project | 50 | 25 |