310-2116/01 – Analytic geometry with 3D print (AG3DT)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |
| Subject guarantor | Mgr. Petr Otipka, Ph.D. | Subject version guarantor | Mgr. Petr Otipka, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | 2023/2024 |
| Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
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.
Teaching methods
Lectures
Tutorials
Project work
Summary
The course focuses on the cultivation of logical thinking, develop spatial imagination, learn the basics of parametric modeling in space.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
There are no further requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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