Emblem of the Republic of Poland Uniwersytet Komisji Edukacji Narodowej w Krakowie
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matematyka

2025/26, Bachelor, Extramural studies

Podstawowe Informacje:
Nazwa instytutu: Instytut Matematyki
Nazwa kierunku: matematyka
Poziom: I stopień
Profil: ogólnoakademicki
Forma: studia niestacjonarne
Język studiów: polski
Klasyfikacja ISCED: 0541
Dyscyplina: Matematyka 100%

Specjalności (do wyboru po 1 roku studiów):

  • matematyka nauczycielska

Sylwetka absolwenta:
Absolwent studiów I stopnia kierunku matematyka uzyskuje tytuł licencjata matematyki.

Posiada wiedzę z zakresu podstawowych działów matematyki, takich jak: analiza matematyczna, algebra liniowa, geometria, logika i teoria mnogości, statystyka i rachunek prawdopodobieństwa oraz informatyka i matematyka obliczeniowa.

Dysponuje umiejętnościami dokonywania złożonych obliczeń, wydobywania informacji jakościowych z danych ilościowych, przeprowadzania rozumowań matematycznych (dowodów), formułowania problemów w sposób matematyczny w postaci symbolicznej. Potrafi w twórczy sposób rozwiązywać problemy praktyczne i teoretyczne, jest otwarty na najnowsze osiągnięcia nauki i przygotowany do podnoszenia swoich kwalifikacji, pozwalających na dostosowanie się do zmian w gospodarce rynkowej.

Absolwent studiów I stopnia zna język obcy na poziomie B2 Europejskiego Systemu Opisu Kształcenia Językowego.

Uzyskiwane kwalifikacje oraz uprawnienia zawodowe:
Absolwent studiów I stopnia kierunku matematyka uzyskuje tytuł licencjata matematyki.

Absolwent kierunku matematyka może znaleźć zatrudnienie w konsorcjach przemysłowych, firmach komputerowych, a także w sektorze finansowym. Absolwent posiada ugruntowaną wiedzę z podstawowych działów matematyki i umiejętności jej praktycznego wykorzystania. Zdobyte umiejętności w zakresie analitycznego i syntetycznego myślenia pozwalają mu wykorzystywać posiadaną wiedzę matematyczną w warunkach przewidywalnych, a także w sytuacjach wymagających niestandardowych rozwiązań. Absolwent potrafi korzystać z modeli matematycznych do rozwiązywania problemów z różnych dziedzin oraz tworzyć modele matematyczne, które pozwalają na opis i analizę zjawisk i procesów. Umiejętność samodzielnego pogłębiania wiedzy matematycznej umożliwia mu szybkie adaptowanie się do dynamicznie zmieniającej się rzeczywistości. Absolwent jest przygotowany do pracy w instytucjach wykorzystujących matematykę i zaawansowane narzędzia informatyczne, w tym w bankach, instytucjach finansowych i firmach branży gospodarczej.

Absolwent studiów I stopnia zna język obcy na poziomie B2 Europejskiego Systemu Opisu Kształcenia Językowego.

Dostęp do dalszych studiów:
Ukończenie I stopnia studiów uprawnia do ubiegania się o przyjęcie na studia II stopnia oraz na studia podyplomowe zgodnie z warunkami rekrutacji.

Szczegółowy program studiów zatwierdzony Uchwałą nr 8.23.06.2025 Senatu Uniwersytetu Komisji Edukacji Narodowej w Krakowie z dnia 23 czerwca 2026 (korekta korekta Uchwała Senatu 8.27.04.2026 z dnia 27.04.2026) jest dostępny tutaj.

 

 

List of courses - Winter semester, 2025/26 See additional information
Subject Activity / Hours Form of verification ECTS points Course type
Lecture: 17 h , including sub-activities: Simultaneous lecture: 17 h
Form of verification: Non-graded credit
Small group: 33 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 17, including sub-activities:
  • Simultaneous lecture: 17
Small group: 33
Non-graded credit 8 Obligatory
Lecture: 6 h , including sub-activities: Simultaneous lecture: 6 h
Form of verification: Non-graded credit
Lab: 27 h , including sub-activities: Ćwiczenia laboratoryjne synchroniczne: 27 h
Form of verification: Graded credit
E-learning: 12 h , including sub-activities: E-learning z odtworzenia: 12 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 6, including sub-activities:
  • Simultaneous lecture: 6
Lab: 27, including sub-activities:
  • Ćwiczenia laboratoryjne synchroniczne: 27
E-learning: 12, including sub-activities:
  • E-learning z odtworzenia: 12
 Graded credit 6 Obligatory
E-learning: 15 h , including sub-activities: E-learning z odtworzenia: 15 h
Form of verification: Non-graded credit
Course type: Obligatory
 E-learning: 15, including sub-activities:
  • E-learning z odtworzenia: 15
 Non-graded credit 1 Obligatory
Small group: 9 h
Form of verification: Non-graded credit
E-learning: 27 h , including sub-activities: E-learning z odtworzenia: 27 h
Form of verification: Non-graded credit
Course type: Obligatory
 Small group: 9
E-learning: 27, including sub-activities:
  • E-learning z odtworzenia: 27
 Non-graded credit 5 Obligatory
Lecture: 18 h , including sub-activities: Simultaneous lecture: 18 h
Form of verification: Non-graded credit
Small group: 27 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 18, including sub-activities:
  • Simultaneous lecture: 18
Small group: 27
Written exam/Oral exam 7 Obligatory
E-learning: 4 h , including sub-activities: E-learning z odtworzenia: 4 h
Form of verification: Non-graded credit
Course type: Obligatory
 E-learning: 4, including sub-activities:
  • E-learning z odtworzenia: 4
 Non-graded credit - Obligatory
Lecture: 2 h , including sub-activities: Simultaneous lecture: 2 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 2, including sub-activities:
  • Simultaneous lecture: 2
 Non-graded credit - Obligatory
Large group: 18 h
Form of verification: Non-graded credit
Course type: Obligatory
 Large group: 18
Non-graded credit 3 Obligatory
Sum 215 30
List of courses - Summer semester, 2025/26 See additional information
Subject Activity / Hours Form of verification ECTS points Course type
Lecture: 18 h , including sub-activities: Simultaneous lecture: 18 h
Form of verification: Non-graded credit
Small group: 27 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 18, including sub-activities:
  • Simultaneous lecture: 18
Small group: 27
Written exam/Oral exam 7 Obligatory
Lecture: 18 h , including sub-activities: Simultaneous lecture: 18 h
Form of verification: Non-graded credit
Small group: 36 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 18, including sub-activities:
  • Simultaneous lecture: 18
Small group: 36
Written exam/Oral exam 8 Obligatory
Lecture: 18 h , including sub-activities: Simultaneous lecture: 18 h
Form of verification: Non-graded credit
Small group: 27 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 18, including sub-activities:
  • Simultaneous lecture: 18
Small group: 27
Written exam/Oral exam 7 Obligatory
Course type: Obligatory group
 Small group: 30, including sub-activities:
  • Ćwiczenia konwersatoryjne synchroniczne: 30
 Non-graded credit 3 Obligatory group
Large group: 30 h
Form of verification: Non-graded credit
Course type: Obligatory
 Large group: 30
Non-graded credit 5 Obligatory
Sum 204 30
List of courses - Winter semester, 2026/27
Subject Activity / Hours Form of verification ECTS points Course type
Lecture: 20 h , including sub-activities: Simultaneous lecture: 20 h
Form of verification: Non-graded credit
Small group: 45 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 20, including sub-activities:
  • Simultaneous lecture: 20
Small group: 45
Written exam/Oral exam 10 Obligatory
Lecture: 10 h , including sub-activities: Simultaneous lecture: 10 h
Form of verification: Non-graded credit
Small group: 20 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 10, including sub-activities:
  • Simultaneous lecture: 10
Small group: 20
Written exam/Oral exam 4 Obligatory
Course type: Obligatory group
 Small group: 30, including sub-activities:
  • Ćwiczenia konwersatoryjne synchroniczne: 30
 Non-graded credit 3 Obligatory group
Sum 125 17

List of courses - Summer semester, 2026/27
Subject Activity / Hours Form of verification ECTS points Course type
Lecture: 15 h , including sub-activities: Simultaneous lecture: 15 h
Form of verification: Non-graded credit
Small group: 25 h
Form of verification: Graded credit
Course type: Obligatory
 Lecture: 15, including sub-activities:
  • Simultaneous lecture: 15
Small group: 25
Graded credit 5 Obligatory
Lecture: 20 h , including sub-activities: Simultaneous lecture: 20 h
Form of verification: Non-graded credit
Small group: 35 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 20, including sub-activities:
  • Simultaneous lecture: 20
Small group: 35
Written exam/Oral exam 8 Obligatory
Lecture: 12 h , including sub-activities: Simultaneous lecture: 12 h
Form of verification: Non-graded credit
Small group: 18 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 12, including sub-activities:
  • Simultaneous lecture: 12
Small group: 18
Written exam/Oral exam 4 Obligatory
Course type: Obligatory group
 Small group: 30, including sub-activities:
  • Ćwiczenia konwersatoryjne synchroniczne: 30
 Written exam/Oral exam 4 Obligatory group
Sum 155 21

List of courses - Winter semester, 2027/28 See additional information
Subject Activity / Hours Form of verification ECTS points Course type
Lecture: 10 h , including sub-activities: Simultaneous lecture: 10 h
Form of verification: Non-graded credit
Small group: 15 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 10, including sub-activities:
  • Simultaneous lecture: 10
Small group: 15
Written exam/Oral exam 4 Obligatory
Large group: 9 h
Form of verification: Non-graded credit
Course type: Obligatory
 Large group: 9
Non-graded credit 1 Obligatory
Lecture: 10 h , including sub-activities: Simultaneous lecture: 10 h
Form of verification: Non-graded credit
Lab: 15 h , including sub-activities: Ćwiczenia laboratoryjne synchroniczne: 15 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 10, including sub-activities:
  • Simultaneous lecture: 10
Lab: 15, including sub-activities:
  • Ćwiczenia laboratoryjne synchroniczne: 15
 Non-graded credit 4 Obligatory
Small group: 9 h
Form of verification: Non-graded credit
Course type: Obligatory
 Small group: 9
Non-graded credit 1 Obligatory
Lecture: 8 h , including sub-activities: Simultaneous lecture: 8 h
Form of verification: Non-graded credit
Small group: 12 h
Form of verification: Graded credit
Course type: Obligatory
 Lecture: 8, including sub-activities:
  • Simultaneous lecture: 8
Small group: 12
Graded credit 3 Obligatory
Sum 88 13

List of courses - Summer semester, 2027/28 See additional information
Subject Activity / Hours Form of verification ECTS points Course type
Large group: 12 h
Form of verification: Non-graded credit
Course type: Obligatory
 Large group: 12
Non-graded credit 2 Obligatory
Lab: 12 h , including sub-activities: Ćwiczenia laboratoryjne synchroniczne: 12 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lab: 12, including sub-activities:
  • Ćwiczenia laboratoryjne synchroniczne: 12
 Non-graded credit 2 Obligatory
Lecture: 12 h , including sub-activities: Simultaneous lecture: 12 h
Form of verification: Non-graded credit
Small group: 15 h
Form of verification: Graded credit
Course type: Obligatory
 Lecture: 12, including sub-activities:
  • Simultaneous lecture: 12
Small group: 15
Graded credit 4 Obligatory
Lecture: 6 h , including sub-activities: Simultaneous lecture: 6 h
Form of verification: Non-graded credit
Small group: 18 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 6, including sub-activities:
  • Simultaneous lecture: 6
Small group: 18
Non-graded credit 4 Obligatory
Lecture: 15 h , including sub-activities: Simultaneous lecture: 15 h
Form of verification: Non-graded credit
Course type: Obligatory
 Lecture: 15, including sub-activities:
  • Simultaneous lecture: 15
 Non-graded credit 1 Obligatory
Egzamin dyplomowy: 0 h
Form of verification: Written exam/Oral exam
Course type: Obligatory
 Egzamin dyplomowy: 0
Written exam/Oral exam 6 Obligatory
Sum 90 19