310-2116/02 – Analytic geometry with 3D print (AG3DT)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorMgr. František ČervenkaSubject version guarantorMgr. František Červenka
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER0007 Mgr. František Červenka
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2

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:

ČERNÝ, Jaroslav. Geometry. Praha: Vydavatelství ČVUT, 1996. ISBN 80-01-01535-1. Signatura: 256952

Recommended literature:

STILLWELL, John. Geometry of surfaces. New York: Springer, c1992. ISBN 0-387-97743-0. Signatura: 247063

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 - oblique passage, 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

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100 (100) 51
        Written test Written test 50  25
        Project Semestral project 50  25
Mandatory attendence parzicipation: 70%

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B0588A170002) Applied Sciences and Technologies MAT P English Ostrava 1 Compulsory study plan
2020/2021 (B0588A170002) Applied Sciences and Technologies MAT P English Ostrava 1 Compulsory study plan
2019/2020 (B0588A170002) Applied Sciences and Technologies MAT P English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner