|
Lecturer(s)
|
-
Krauz Lukáš, doc. Ing. Ph.D.
|
|
Course content
|
1. Solving the equation f (x) = 0 - separation of roots, secant method and tangent method, iteration. 2. Solving systems of linear algebraic equations - finite methods, iteration. 3. Interpolation - Lagrange polynomial, spline functions. 4. Approximation - method of least squares. 5. Numerical integration and solving differential equations - initial task. 6. Difference method and finite elements. 7. Solving partial differential equations - method of networking (nets). 8. Ferguson cubic and spline curves. 9. Bezier curves and surfaces. 10. B-spline and NURBS curves and surfaces. 11. Coons patches. 12. Geometric model in CAD - edge, surface and volume model. Overview of CA in terms of methods of geometric modeling. Basic trends in geometric modeling. 13. Presentation of student projects.
|
|
Learning activities and teaching methods
|
Students' portfolio, Laboratory work, Lecture, Practicum
- Contact hours
- 39 hours per semester
- Presentation preparation (report) (1-10)
- 9 hours per semester
- Preparation for comprehensive test (10-40)
- 10 hours per semester
- Individual project (40)
- 10 hours per semester
- Preparation for an examination (30-60)
- 40 hours per semester
|
| prerequisite |
|---|
| Knowledge |
|---|
| Students should be familiar with a high school algebra, calculus and analytical geometry. |
| learning outcomes |
|---|
| Student is informed on the numerical methods in linear algebra and mathematical analyses. She/he has a overview of principles, which are used in CAD/CAM systems and has good orientation in modelling technics. She/he is able to use mathematic software (Matlab) for basic geometric modeling. |
| teaching methods |
|---|
| Lecture |
| Practicum |
| Laboratory work |
| Students' portfolio |
| assessment methods |
|---|
| Combined exam |
|
Recommended literature
|
-
Černá, Růžena; Machalický, Miroslav; Šánová, Ladislava. Základy numerické matematiky a programování II. dot. 1. vyd. Praha : ČVUT, 1982.
-
Žára, Jiří; Beneš, Bedřich; Felkel, Petr. Moderní počítačová grafika. Praha : Computer Press, 1998. ISBN 80-7226-049-9.
|