Geometry and Computation WM-I-S2-GC

This course covers the differential 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

LECTURE Class attendance: 30 hours Exam attendance: 3 hours Consultation attendance: 4 hours Class preparation: 3 hours Exam preparation: 35 hours Total: 75 hours 1.5 ECTS - direct contact with the teacher 1.5 ECTS - individual work EXERCISES Class attendance: 30 hours Consultation attendance: 4 hours Class preparation: 11 hours Assessment preparation: 30 hours Total: 75 hours 1.4 ECTS - direct contact with the teacher 1.6 ECTS - individual work

Subject level

advanced

Learning outcome code/codes

Lecture/Tutorial: I2_W10 Laboratory/Exercises: I2_U09 SYMBOLS DESCRIPTION Lecture/Tutorial - Graduate: I2_W10 - Demonstrates in-depth knowledge and understanding of the theoretical and practical aspects of a selected IT field. Laboratory/Exercises - Graduate: I2_U09 - Is able to apply advanced IT tools and methods in a selected field.

Type of subject

optional with unlimited choices

Preliminary Requirements

(in Polish) Linear Algebra, Basic calculus

Course coordinators

Dorota Dąbrowska
Omid Makhmali

Learning outcomes

LECTURE
Student:
W1 - explains the fundamental concepts, structures, and differential invariants of differential geometry on manifolds, and their role in the description of abstract geometric spaces (I2_W10).

LABORATORY
Student:
U1 - applies concepts of differential geometry to analyze and solve problems involving abstract spaces and their intrinsic and extrinsic properties (I2_U09),
U2 - uses appropriate Python symbolic libraries to perform computations in differential geometry and visualizations, interprets the resulting geometric invariants (I2_U09).

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-GC in USOSweb