Course: Differential Geometry on Computer

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Course title Differential Geometry on Computer
Course code KAG/GDGP8
Organizational form of instruction Lecture + Exercise
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Mikeš Josef, prof. RNDr. DrSc.
Course content
1. Maple - software for analytic computing. 2. Graphs of functions of a single variable - visualization of curves. 3. Graphs of functions two variables - visualization of surfaces. 4. Curves given by natural equations. 5. Computing the characteristics of curves in Maple - curvatures. 6. Computing the characteristic of surfaces in Maple - curvatures. 7. Special curves on surfaces (geodetic, etc.)

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
Learning outcomes
Manage with computer application MAPLE for differential geometry of curves and surfaces.
3. Aplication Students apply their knowledge of the differential geometry by MAPLE.
Prerequisites
Principles of work with PC.
KAG/KDG
----- or -----
KAG/MDIG7

Assessment methods and criteria
Student performance

The student has to participate actively in seminars and pass the colloquium.
Recommended literature
  • Gray, A. (1994). Differential geometry. CRC Press Icn.
  • Oprea, J. (2007). Differential geometry and its aplications. MAA Pearson Educ.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Teaching Training in Descriptive Geometry for Secondary Schools (2015) Pedagogy, teacher training and social care 1 Summer