230-0442/01 – Geometry with Computer (GP)

Gurantor departmentDepartment of MathematicsCredits5
Subject guarantorMgr. Dagmar Dlouhá, Ph.D.Subject version guarantorMgr. František Červenka
Study levelundergraduate or graduateRequirementChoice-compulsory
Year2Semestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER0007 Mgr. František Červenka
DLO44 Mgr. Dagmar Dlouhá, Ph.D.
DOL75 Mgr. Jiří Doležal
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

• to solve planimetric and stereometric tasks with the help of computer • to know how to characterize geometric curves and surfaces by synthetic and also analytic way • to acquaint with geometric and physical principles of 3D modeling

Teaching methods

Lectures
Individual consultations
Tutorials
Project work
Other activities

Summary

The course combines geometric and computer disciplines - planimetry, stereometry, analytic geometry, 3D modeling, computer graphics and programming. In the exercise there is used free software GeoGebra and POV-Ray.

Compulsory literature:

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005. Foley, J., van Dam, A., Feiner, S., Hughes, J.: Computer Graphics-Principles and Practise. 2nd ed., Addison-Wesley, Reading, Massachusetts, 1990. http://mdg.vsb.cz/portal/gp/Dlouha_cervenka-geometrie_na_pocitaci.pdf

Recommended literature:

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005. Foley, J., van Dam, A., Feiner, S., Hughes, J.: Computer Graphics-Principles and Practise. 2nd ed., Addison-Wesley, Reading, Massachusetts, 1990.

Way of continuous check of knowledge in the course of semester

Credit and test requirements Conditions for granting credit - 70% absence attendance can be excused - elaboration of assigned homework 0-15 points Term project creating a 3D model according to the assignment - Up to 2 members can work on one model - Creation means modeling in appropriate modeling software division into individual printable parts, optimization in terms of quality and quantity of material, 3D printing itself creating a realistic scene  - rated: appropriate choice of geometric objects, level of their execution external appearance, use of set operations CSG, realization of more the same or similar objects using the programmer directives (using cycles, conditions, etc.) source code clarity (use of notes), parameterization objects in the scene (appropriate parameter names), resulting animation - Overall, the idea is: the idea of ​​using as many as possible objects and options, use of unobstructed objects and options (own initiative) Exam - The exam will be divided into two parts and can be completed in one regular and two correction terms practical part - plane geometry - elaboration of given examples 0-30 points - spatial modeling - elaboration of given examples or defense of semester project 0-30 points theoretical test 0-20 points Scoring - Practical part of the exam is evaluated by max. 60 points, minimum 25 points are required - at the theoretical part it is possible to reach max. 20 points, at least it is necessary to have at least 5 points - The overall rating is based on a standard table points mark 86-100 1 excellent 66-85 2 very good 51-65 3 well 0-50 4 failed

E-learning

Další požadavky na studenta

They are no other requests fo students.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Program of lectures ================= Week Lecture content -------------------------------------------------- ----------------------------- 1 Basic geometric objects (point, line, plane), concepts and constructions 2 Planimetry - properties of triangles, construction of basic triangles (height, center of gravity, angles) 3 Planimetry - construction of triangles advanced, uniformity (tangent of two circles, triangle inscribed in squares) 4 Conic sections - derivation from a rotational conical surface, definition and construction of an ellipse 5 Conics - definition and construction of a hyperbola 6 Conic sections - definition and construction of a dish 7 Kinematic geometry - elliptic and cardioid motion, conchoidal and cyclic movements 8 Stereometry - cube sections, slices of other bodies 9 Modeling and 3D Printing - Introduction to 3D Modeling and 3D Printing (Technology, Materials) 10 Modeling and 3D Printing - Basic Bodies (Spheres, Cylinders, Cones, Blocks) 11 Modeling and 3D Printing - Transform (Shift, Rotate, Scale) 12 Modeling and 3D Printing - Set Operations (Unification, Intersection, Difference) 13 Modeling and 3D Printing - Visual Programming (Mathematical Functions, Cycles) 14 Reserve Exercise and seminar program + individual student work ================================================== ====== Week Content of seminars and seminars -------------------------------------------------- ----------------------------- 1 Basic geometric objects (point, line, plane), concepts and constructions 2 Planimetry - properties of triangles, construction of basic triangles (height, center of gravity, angles) 3 Planimetry - construction of triangles advanced, uniformity (tangent of two circles, triangle inscribed in squares) 4 Conic sections - derivation from a rotational conical surface, definition and construction of an ellipse 5 Conics - definition and construction of a hyperbola 6 Conic sections - definition and construction of a dish 7 Kinematic geometry - elliptic and cardioid motion, conchoidal and cyclic movements 8 Stereometry - cube sections, slices of other bodies 9 Modeling and 3D Printing - Introduction to 3D Modeling and 3D Printing (Technology, Materials) 10 Modeling and 3D Printing - Basic Bodies (Spheres, Cylinders, Cones, Blocks) 11 Modeling and 3D Printing - Transform (Shift, Rotate, Scale) 12 Modeling and 3D Printing - Set Operations (Unification, Intersection, Difference) 13 Modeling and 3D Printing - Visual Programming (Mathematical Functions, Cycles) 14 Reserve

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
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30
                Písemná zkouška Written examination 60  25
                Ústní zkouška Oral examination 20  5
Mandatory attendence parzicipation: At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

Show history

Occurrence in study plans

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2019/2020 (B2102) Mineral Raw Materials (3904R028) Environmental Biotechnology P Czech Ostrava 2 Optional study plan

Occurrence in special blocks

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