Linear Algebra A Field of study: Mathematics
Programme code: W4-S1MT19.2023

Module name: Linear Algebra A
Module code: W4-MT-S1-23-ALinA
Programme code: W4-S1MT19.2023
Semester: summer semester 2023/2024
Language of instruction: Polish
Form of verification: exam
ECTS credits: 6
Purpose and description of the content of education:
Celem przedmiotu Algebra liniowa A jest wykształcenie u słuchaczy umiejętności swobodnego posługiwania się podstawowymi pojęciami i narzędziami algebry liniowej nad ciałami oraz przygotowanie bazy pojęciowej dla przedmiotu Geometria A. Przewiduje się realizację następujących treści programowych: 1. Przestrzenie liniowe 2. Baza i wymiar przestrzeni liniowej 3. Struktura zbioru rozwiązań układu równań liniowych 4. Przekształcenia liniowe 5. Wektory i wartości własne 6. Formy dwuliniowe
List of modules that must be completed before starting this module (if necessary): not applicable
Learning outcome of the module Codes of the learning outcomes of the programme to which the learning outcome of the module is related [level of competence: scale 1-5]
zna pojęcia i fakty z algebry liniowej, potrafi posługiwać się nimi w mowie i piśmie [ALinA_1]
 K_W02 [4/5] K_W04 [3/5] K_U01 [4/5]
potrafi wykonywać działania na wektorach w dowolnej przestrzeni liniowej, badać liniową niezależność wektorów, wyznaczać bazy podprzestrzeni i obliczać ich wymiary [ALinA_2]
 K_U16 [3/5]
potrafi rozwiązywać układy równań liniowych i interpretować ich rozwiązania w języku algebry liniowej [ALinA_3]
 K_U18 [5/5] K_U19 [5/5]
potrafi posługiwać się pojęciem przekształcenia liniowego i jego macierzy, zna pojęcie i zastosowanie wektorów i wartości własnych [ALinA_4]
 K_U16 [4/5] K_U20 [5/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [ALinA_fs_1] 30 Formal lecture/ course-related lecture [a01]  exam ALinA_1 ALinA_2 ALinA_3 ALinA_4
discussion classes [ALinA_fs_2] 30 Laboratory exercise / experiment [e01]  course work ALinA_1 ALinA_2 ALinA_3 ALinA_4
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Literature reading / analysis of source materials [a02] Preparation for classes
reading the literature indicated in the syllabus; reviewing, organizing, analyzing and selecting source materials to be used in class
Developing practical skills [a03] Preparation for classes
activities involving the repetition, refinement and consolidation of practical skills, including those developed during previous classes or new skills necessary for the implementation of subsequent elements of the curriculum (as preparation for class participation)
Consulting materials complementary to those indicated in the syllabus [a04] Preparation for classes
agreeing on materials complementary to those indicated in the syllabus, supporting the implementation of tasks resulting from or necessary for class participation
Getting acquainted with the syllabus content [b01] Consulting the curriculum and the organization of classes
reading through the syllabus and getting acquainted with its content
Verification / adjustment / discussion of syllabus provisions [b02] Consulting the curriculum and the organization of classes
consulting the content of the syllabus, possibly in the presence of the year tutor or members of the class group, and, if necessary, reassessing the provisions concerning special conditions for class participation, e.g., space and time requirements, technical and other requirements, including conditions for participation in classes outside the walls of the university, classes organized in blocks, organized online, etc.
Studying the literature used in and the materials produced in class [c02] Preparation for verification of learning outcomes
exploring the studied content, inquiring, considering, assimilating, interpreting it, or organizing knowledge obtained from the literature, documentation, instructions, scenarios, etc., used in class as well as from the notes or other materials/artifacts made in class
Analysis of the corrective feedback provided by the academic teacher on the results of the verification of learning outcomes [d01] Consulting the results of the verification of learning outcomes
reading through the academic teacher’s comments, assessments and opinions on the implementation of the task aimed at checking the level of the achieved learning outcomes
Development of a corrective action plan as well as supplementary/corrective tasks [d02] Consulting the results of the verification of learning outcomes
reviewing and selecting tasks and activities enabling the elimination of errors indicated by the academic teacher, their verification or correction resulting in completing the task with at least the minimum passing grade
Undertaking, on one’s own initiative and individually, activities aimed at expanding the scope or depth of the teaching content, also beyond the walls of the University [e01] Activities complementary to the classes
a set of activities undertaken independently and on the student's own initiative, aimed at expanding the depth and scope of knowledge and skills, their revision and repetition, retention or verification, also activities carried outside the university, e.g., in a culture promoting or educational institution, a laboratory, in the open air, etc.; also self-education
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)