Monograph Course Field of study: Mathematics
Programme code: W4-N2MT19.2024

Module name: Monograph Course
Module code: W4-MT-N2-23-WMon
Programme code: W4-N2MT19.2024
Semester:
  • winter semester 2025/2026
  • summer semester 2024/2025
  • winter semester 2024/2025
Language of instruction: Polish
Form of verification: exam
ECTS credits: 6
Purpose and description of the content of education:
Opis zawartości modułu „Wykład monograficzny”: 1. Rola i miejsce wykładanego działu matematyki oraz zarys jego rozwoju na tle historycznym. 2. Podstawowe pojęcia i definicje oraz najważniejsze związki między nimi. 3. Główne twierdzenia omawianej teorii matematycznej i przykłady ich zastosowań oraz związków między nimi. 4. Wskazanie związków wykładanej teorii z innymi działami matematyki. 5. Wskazanie nierozwiązanych problemów i perspektyw dalszego rozwoju teorii.
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]
Posiada pogłębioną wiedzę na temat metod i technik omawianych na danym wykładzie monograficznym [WMon_1]
K_W03 [5/5]
Zna w ramach przedstawianych na wykładzie treści większość definicji i twierdzeń [WMon_2]
K_W03 [5/5]
Potrafi w ramach wykładanej dziedziny wskazać związki z innymi dziedzinami, a także rozumie zagadnienia znajdujące się na etapie badań [WMon_3]
K_U04 [5/5]
Potrafi zastosować zdobytą wiedzę w innych działach matematyki czystej i stosowanej [WMon_4]
K_U04 [5/5] K_U05 [5/5]
Potrafi stawiać i analizować problemy matematyczne w oparciu o wyłożoną teorię oraz jest w stanie nawiązać kontakt ze specjalistami z innych dziedzin matematyki [WMon_5]
K_U04 [4/5] K_U06 [5/5]
Potrafi w przedstawionej w ramach wykładu wiedzy precyzyjnie formułować pytania dla pogłębienia własnej wiedzy, a także analogie z twierdzeniami i pojęciami wyłożonymi w ramach innych wykładów [WMon_6]
K_K02 [4/5] K_K05 [4/5]
Potrafi samodzielnie studiować literaturę naukową w ramach wyłożonego przedmiotu [WMon_7]
K_K01 [4/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [WMon_fns_1] 15 Monographic lecture [a02]  exam WMon_1 WMon_2 WMon_3 WMon_4 WMon_5 WMon_6 WMon_7
discussion classes [WMon_fns_2] 15 Activating method – peer learning [b08]  course work WMon_1 WMon_2 WMon_3 WMon_4 WMon_5 WMon_6 WMon_7
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
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.
Consulting the schedule [b03] Consulting the curriculum and the organization of classes
getting acquainted with the class schedule, possibly in the presence of the year tutor, in order to optimize participation in classes, including those supplementary to the core subjects listed in the pursued study programme
Determining the stages of task implementation contributing to the verification of learning outcomes [c01] Preparation for verification of learning outcomes
devising a task implementation strategy embracing the division of content, the range of activities, implementation time and/or the method(s) of obtaining the necessary materials and tools, 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
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)