714-0277/02 – Descriptive Geometry (BcDg)
Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |
Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | Mgr. Dagmar Dlouhá, Ph.D. |
Study level | undergraduate or graduate | | |
| | Study language | Czech |
Year of introduction | 2007/2008 | Year of cancellation | 2019/2020 |
Intended for the faculties | FAST | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
• to train development of space abilities
• to handle by different types of projection methods, to understand to their principles, to be familiar with their properties, advantages and disadvantages
• to acquaint with geometric characteristics of curves and surfaces that are used in technical practice of a given specialization
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
Descriptive geometry is a practical discipline which tries to improve development of space and creative abalities and logical thinking.
First it shows commonly used types of projection methods.
At the socond part the geometric characteristics of relevant curves and surfaces folows.
Compulsory literature:
Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005
Recommended literature:
Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005
Way of continuous check of knowledge in the course of semester
Requirements for the credit and examination
Conditions for granting credit:
attendance at seminars,
delivery of compensatory work in the required quality,
The submission of compensatory work, a student obtains 5 p.
Other points (0-15) is available by drawing up additional assignments.
This provides a total workout can receive a maximum of 20 points.
Exam:
Combined
The practical part - maximum of 60 points.
The theoretical part - maximum of 20 points.
Total maximum of 80 points.
Students must succeed in every part of the combined test:
in the practical part must get at least 25 points and in the theoretical part of at least 5 points.
The score is the sum of points obtained from exercise (20) and test (maximum 80) and is classified as follows:
Points Grade
86-100 excellent
66-85 very good
51-65 well
0-50 fail
Theoretical questions follow the outline of lectures
1st range of issues - some of the principle of memorized screening methods
2nd range of issues - some geometric properties of memorized curves and surfaces
E-learning
Other requirements
There are no additional requirements for the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
The program of lectures
1. Parallel projection, coordinate system. Projection with dimensions – basic units view, slope, intersection of two planes, rotation of a plane.
2. Monge projection - basic units view, positional and metric problems.
3. Orthogonal axonometry - basic units view, the notch method.
4. Oblique projection - basic units view, military and cavalier perspective. Improper objects. Basic concepts of central projection.
5. Linear perspective - basic concepts, bound methods.
6. Curves - a general introduction. Circle, ellipse.
7. Another conics. Helix.
8. Surfaces. Surface of revolution, rotational quadrics.
9. Screw surfaces - ruled, cyclical.
10. Ruled surfaces. Developable ruled surfaces. Skew surfaces, skew quadrics.
11. Conoids, conusoids and other skew surfaces.
12. Transition, wedge surfaces and other surfaces of building practices.
13. Cuts, surface intersections, the vault - samples of specific examples.
14. Reserve
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction