Geometry and computation WM-I-S2-E1-CG

This course covers the geometry of curves and surfaces and employs Python symbolic and graphical packages to solve related problems and visualize various examples. If time permits, some more advanced topics, such as mesh processing and surface fairing will be discussed.

(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się

information and communication technology

(in Polish) Grupa przedmiotów ogólnouczenianych

(in Polish) nie dotyczy

(in Polish) Opis nakładu pracy studenta w ECTS

For the lecture: class attendance 30 hours, participation in tests/exams outside of class 3 hours, consultations 6 hours, preparation for classes 12 hours, preparation for tests/exams 24 hours, All together 75 h, equivalent to 3 ECTS credits For the laboratory: class attendance 30 hours, consultations 5 hours, preparation for classes 20 hours, preparation for tests/exams 20 hours, All together 75 h, equivalent to 3 ECTS credits

Subject level

intermediate

Learning outcome code/codes

For the laboratory: I2_U09 For the lecture: I2_W10

Type of subject

optional with unlimited choices

Preliminary Requirements

Linear Algebra, Basic calculus

Course coordinators

Omid Makhmali

Learning outcomes

U1: Students get familiar with the notion of an abstract space and its intrinsic and extrinsic properties. Using Python's open-source symbolic library they can compute differential invariants and determine (in)equivalence of curves and surfaces and perform various visualizations. (I2_U09)

W1: As a gateway into differential geometry of manifolds, this course helps students to develop an understanding of an abstract space and carry out computations in Python to describe its differential geometry and find its differential invariants. (I2_W10)

Assessment criteria

For all learning outcomes, the following assessment criteria are adopted for all forms of verification:

grade 5: fully achieved (no obvious shortcomings),

grade 4.5: achieved almost fully and criteria for awarding a higher grade are not met,

grade 4: largely achieved and the criteria for a higher grade are not met,

grade 3.5: largely achieved - with a clear majority of positives - and the criteria for granting a higher grade are not met,

grade 3: achieved for most of the cases covered by the verification and criteria for a higher grade are not met,

grade 2: not achieved for most of the cases covered by the verification.

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of WM-I-S2-E1-CG in USOSweb