Specialized Module Field of study: Mathematics
Programme code: W4-N2MT19.2023

Module name: Specialized Module
Module code: W4-MT-N2-23-MSpe
Programme code: W4-N2MT19.2023
Semester:
  • summer semester 2024/2025
  • winter semester 2024/2025
  • summer semester 2023/2024
  • winter semester 2023/2024
Language of instruction: Polish
Form of verification: exam
ECTS credits: 6
Purpose and description of the content of education:
Opis zawartości modułu ‘Wykład specjalistyczny’. 1. Zapoznanie studenta z rolą i miejscem problematyki wykładu w historycznym rozwoju matematyki i nauk pokrewnych. 2. Wprowadzenie podstawowych pojęć i definicji teorii omawianej na wykładzie. 3. Sformułowanie i udowodnienie twierdzeń danego wykładu specjalistycznego. 4. Pokazanie możliwości stosowania zdobytej wiedzy teoretycznej do rozwiązywania problemów wywodzących się z zastosowań. 5. Wskazanie powiązań omawianych zagadnień z pokrewnymi dziedzinami nauk przyrodniczych. 6. Omówienie metod numerycznych stosowanych do rozwiązywania wybranych zagadnień matematycznych w naukach przyrodniczych. 7. Omówienie możliwych kierunków rozwoju problematyki wykładu i ich znaczenia dla nauki i postępu cywilizacyjnego.
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]
Ma ogólną wiedzę w zakresie zaawansowanych kompetencji, zasad i teorii omawianych na danym wykładzie specjalistycznym [MSpe_1]
 K_W04 [5/5]
Ma rozszerzoną wiedzę w zakresie zagadnień omawianych na danym wykładzie specjalistycznym [MSpe_2]
 K_W04 [5/5] K_U06 [4/5]
Potrafi opisać historyczny rozwój i określić znaczenie omawianych na wykładzie zagadnień dla postępu nauk przyrodniczych [MSpe_3]
 K_W05 [3/5] K_U08 [5/5]
Potrafi analizować problemy oraz znajdować ich rozwiązania w oparciu o poznane na wykładzie twierdzenia I metody badawcze. [MSpe_4]
 K_U05 [4/5] K_K02 [5/5]
Potrafi stosować metody numeryczne do rozwiązywania problemów omawianych na wykładzie [MSpe_5]
 K_U05 [3/5]
Potrafi zastosować zdobytą wiedzę do zagadnień pokrewnych z omawianymi na wykładzie [MSpe_6]
 K_U07 [4/5] K_K06 [3/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [MSpe_fns_1] 15 Formal lecture/ course-related lecture [a01]  exam MSpe_1 MSpe_2 MSpe_3 MSpe_4 MSpe_5 MSpe_6
laboratory classes [MSpe_fns_2] 15 Activating method – peer learning [b08]  course work MSpe_1 MSpe_2 MSpe_3 MSpe_4 MSpe_5 MSpe_6
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Search for materials and review activities necessary for class participation [a01] Preparation for classes
reviewing literature, documentation, tools and materials as well as the specifics of the syllabus and the range of activities indicated in it as required for full participation in classes
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)