Geometry and Computation WM-I-S2-GC

The course introduces students to the differential geometry of curves and surfaces, combining theoretical foundations with computational methods and visualization techniques. The course employs Python symbolic and graphical packages to solve related problems and visualize various examples.

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

information and communication technology

(in Polish) E-Learning

(in Polish) E-Learning (pełny kurs)

(in Polish) Grupa przedmiotów ogólnouczenianych

(in Polish) nie dotyczy

Course coordinators

Dorota Dąbrowska
Omid Makhmali

(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

intermediate

Learning outcome code/codes

(in Polish) wykład: I2_W10 laboratorium: I2_U09 OPIS SYMBOLI wykład/konwersatorium - Absolwent: I2_W10 - w pogłębionym stopniu zna i rozumie teoretyczne i praktyczne aspekty wybranej dziedziny informatycznej. laboratorium - Absolwent: I2_U09 - potrafi stosować w wybranej dziedzinie zaawansowane narzędzia i metody informatyczne.

Type of subject

optional with unlimited choices

Preliminary Requirements

Linear Algebra, Basic calculus

Learning outcomes

LECTURE

Student:

W1 - knows and understands the fundamental concepts, structures, and differential invariants occurring in the geometry of curves and surfaces, and their role in describing the properties of geometric objects (I2_W03).

W2 - knows and understands the theoretical and practical aspects of applying differential geometry to the analysis and computational description of curves, surfaces, and their geometric properties (I2_W10).

TUTORIALS

Student:

U1 - is able to apply mathematical knowledge to formulate, analyse, and solve problems concerning the geometry of curves and surfaces (I2_U02).

U2 - is able to implement simple algorithms and computational procedures related to differential geometry in Python (I2_U03).

U3 - is able to use appropriate Python libraries for computations and visualization of geometric objects, and to interpret the resulting geometric quantities and 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