Information sheet ECTS Syllabus
Course syllabus I1-DG - Differential geometry (FCE - WS 2019/2020)
|University:||Slovak University of Technology in Bratislava|
|Faculty:||Faculty of Civil Engineering|
|Course unit code:||I1-DG|
|Course unit title:||Differential geometry|
|Mode of delivery, planned learning activities and teaching methods:|
|Recommended semester/trimester:||Mathematical and Computational Modeling - master (compulsory), 1. semester|
|Level of study:||2.|
|Prerequisites for registration:||none|
|During the semester - presence in lectures and seminars, earning at least 56% of points from both theoretical and practical assignments|
During the examination period - written and oral exam, earning at least 56% of both.
|Learning outcomes of the course unit:|
|After completing this course, the student should be familiar with important concepts of classical differential geometry. He should be able to understand important results concerning curves in Eucledian spaces including the proofs. He should be able to apply the knowledge - the exercise is focused on application and illustration of the concepts by means of simple Mathematica programs.|
|- Parametric curve.
- Plane and space curves - length, curvature and torsion.
- Jordan's curve theorem.
- Isoperimetric inequality.
- Evolution of plane curves.
- Parametric surface.
- First fundamental form.
|Recommended or required reading:|
|Language of instruction:||slovak|
|Assessed students in total: 32|
|Name of lecturer(s):||prof. RNDr. Karol Mikula, DrSc. (person responsible for course)|
Ing. Peter Sarkoci, PhD. (examiner, instructor, lecturer) - slovak, english
doc. Mgr. Mariana Sarkociová Remešíková, PhD. (examiner, instructor, lecturer) - slovak, english
Ing. Mgr. Lukáš Tomek, PhD. (examiner, instructor, lecturer)
|Last modification:||28. 2. 2019|
|Supervisor:||prof. RNDr. Karol Mikula, DrSc. and programme supervisor|
Last modification made by Ing. Peter Korčák on 02/28/2019.