|
Lecturer(s)
|
-
Vavrejnová Petra, Ing. Ph.D.
-
Krauz Lukáš, doc. Ing. Ph.D.
-
Káňa Michal, doc. RNDr. Ph.D.
-
Pařez Klaus, doc. RNDr. Ph.D.
-
Zedníková Jana, Mgr.
-
Kovaříková Freya, RNDr. Ph.D.
-
Breitfelder Ondřej, Mgr.
|
|
Course content
|
1. Polynomials. 2. Matriices. Detereminants. 3. Systems of linear equations and their solvability. 4. Inverse matrix. Eigenvalues and eigenvectors. 5. Ideal elements. Introduction to methods of projection. 6. Axonometry. 7. Orthogonal axonometry. Afinity and collineation. 8. Elementary surfaces 9. Vector algebra 1 10. Vector algebra 2 - scalar, vector and triple product/multiplication. 11. Analytic geometry 1 - mutual positions 12. Analytic geometry 1 - metric problems 13. Summary
|
|
Learning activities and teaching methods
|
Lecture, Practicum
- Individual project (40)
- 10 hours per semester
- Contact hours
- 52 hours per semester
- Preparation for formative assessments (2-20)
- 20 hours per semester
- Preparation for an examination (30-60)
- 45 hours per semester
|
| prerequisite |
|---|
| Knowledge |
|---|
| have an understanding of basic concepts of elementary geometry and trigonometry in the extent of high school curriculum |
| have an understanding of basic principles of projection methods and know fundamentals of at least one projection method, preferably Monge's projection |
| have an understanding of basic principles of elementary calculus |
| Skills |
|---|
| apply acquired skills of basic geometric problems at high school level |
| apply techniques of suitable projection method (preferably Monge's projection) on basic problems |
| apply methods of calculus on basic problems |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| learning outcomes |
|---|
| Knowledge |
|---|
| have an understanding of concepts and methods in linear algebra (matrices, determinants, vector spaces, solving of systems of linear equations) |
| have an understanding of concepts and methods in analytic geometry, especially in 3D (position and metric problems) |
| have an understanding of concepts and methods in descriptive geometry, especially Monge's projection and axonometry) |
| be knowledgeable in description of basic geometric objects, especially selected special classes of surfaces |
| Skills |
|---|
| decompose complex geometric problems to a sequence of elementary constructions |
| apply methods of linear algebra (matrices, determinants, vector spaces, solving of systems of linear equations) on solving of suitable problems |
| actively use analytic method in solving fundamental and applied problems |
| use techniques and methods of Monge's projection and axonometry |
| analyse selected geometric properties, especially with respect to their use in student's subject of study and future professional expertise |
| find and use application potential not only in geometry, but also in technical and natural sciences, industrial design, CAD, etc. |
| Competences |
|---|
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Practicum |
| Task-based study method |
| Individual study |
| Skills |
|---|
| Lecture |
| Practicum |
| Task-based study method |
| Individual study |
| Competences |
|---|
| Lecture |
| Practicum |
| Task-based study method |
| Individual study |
| assessment methods |
|---|
| Knowledge |
|---|
| Combined exam |
| Test |
| Skills |
|---|
| Combined exam |
| Test |
| Competences |
|---|
| Combined exam |
| Test |
|
Recommended literature
|
-
Ježek, František; Míková, Marta. Maticová algebra a analytická geometrie. 2., přeprac. vyd. Plzeň : Západočeská univerzita, 2003. ISBN 80-7082-996-6.
-
Štauberová, Zuzana. Mongeovo promítání. 1. vyd. V Plzni : Západočeská univerzita, 2004. ISBN 80-7043-323-X.
|