Major matematyka

2024/25, Bachelor, Extramural studies

Podstawowe Informacje:
Nazwa instytutu: Instytut Matematyki
Nazwa kierunku: matematyka
Poziom: I stopień
Profil: ogólnoakademicki
Forma: studia niestacjonarne
Język studiów: polski
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 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

Szczegółowy program studiów, zatwierdzony Uchwałą nr 13.25.06.2024 Senatu Uniwersytetu Komisji Edukacji Narodowej w Krakowie z dnia 25 czerwca 2024 jest dostępny tutaj.

List of courses - Winter semester, 2024/25 See additional information
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details 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	9	Obligatory
Course details 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	7	Obligatory
Course details 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
Course details 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
Course details 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	8	Obligatory
Szkolenie BHK Course details 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
Szkolenie biblioteczne Course details 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
Sum	197		30

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Kursy zamieszczone w planie w całym cyklu 2024/25 mogą być realizowane częściowo zdalnie.

List of courses - Summer semester, 2024/25 See additional information
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details 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	9	Obligatory
Course details 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	9	Obligatory
Course details 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	9	Obligatory
Course details Course type: Obligatory group	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Obligatory group
wybór języka student dokonuje przy wpisie na studia
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Facultative
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Facultative
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Facultative
Sum	174		30

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Egzamin z „Algebry liniowej 2” obejmuje również kurs „Algebra liniowa 1”.

List of courses - Winter semester, 2025/26
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details 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
Course details 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 details Course type: Obligatory group	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Obligatory group
wybór języka student dokonuje przy wpisie na studia
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Facultative
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Facultative
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Non-graded credit	3	Facultative
Sum	125		17

List of speciality courses - matematyka nauczycielska - Winter semester, 2025/26
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details Lecture: 3 h , including sub-activities: Simultaneous lecture: 3 h Form of verification: Non-graded credit Large group: 12 h Form of verification: Non-graded credit Course type: Obligatory	Lecture: 3, including sub-activities: Simultaneous lecture: 3 Large group: 12	Non-graded credit	3	Obligatory
Course details Large group: 12 h Form of verification: Non-graded credit Course type: Obligatory	Large group: 12	Non-graded credit	2	Obligatory
Course details Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 15	Non-graded credit	1	Obligatory
Course details Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 15	Non-graded credit	1	Obligatory
Course details Lecture: 15 h , including sub-activities: Simultaneous lecture: 15 h Form of verification: Non-graded credit Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Lecture: 15, including sub-activities: Simultaneous lecture: 15 Small group: 15	Non-graded credit	2	Obligatory
Course details 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
Course details Lecture: 15 h , including sub-activities: Simultaneous lecture: 15 h Form of verification: Non-graded credit Small group: 30 h Form of verification: Non-graded credit Course type: Obligatory	Lecture: 15, including sub-activities: Simultaneous lecture: 15 Small group: 30	Written exam/Oral exam	3	Obligatory
Sum	147		13

List of courses - Summer semester, 2025/26
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details 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
Course details 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
Course details 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 details Course type: Obligatory group	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Written exam/Oral exam	4	Obligatory group
wybór języka student dokonuje przy wpisie na studia
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Written exam/Oral exam	4	Facultative
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Written exam/Oral exam	4	Facultative
Course details Small group: 30 h , including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30 h Form of verification: Non-graded credit Course type: Facultative	Small group: 30, including sub-activities: Ćwiczenia konwersatoryjne synchroniczne: 30	Written exam/Oral exam	4	Facultative
Sum	155		21

List of speciality courses - matematyka nauczycielska - Summer semester, 2025/26
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details Lecture: 10 h , including sub-activities: Simultaneous lecture: 10 h Form of verification: Non-graded credit Small group: 30 h Form of verification: Non-graded credit Course type: Obligatory	Lecture: 10, including sub-activities: Simultaneous lecture: 10 Small group: 30	Non-graded credit	3	Obligatory
Course details Large group: 12 h Form of verification: Non-graded credit Course type: Obligatory	Large group: 12	Non-graded credit	2	Obligatory
Course details Small group: 30 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 30	Written exam/Oral exam	2	Obligatory
Course details Lecture: 15 h , including sub-activities: Simultaneous lecture: 15 h Form of verification: Non-graded credit Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Lecture: 15, including sub-activities: Simultaneous lecture: 15 Small group: 15	Written exam/Oral exam	2	Obligatory
Sum	112		9

List of courses - Winter semester, 2026/27 See additional information
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details 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
Course details Large group: 9 h Form of verification: Non-graded credit Course type: Obligatory	Large group: 9	Non-graded credit	1	Obligatory
Course details 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
Course details Small group: 9 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 9	Non-graded credit	1	Obligatory
Course details 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

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Egzamin z „Algebry abstrakcyjnej 2” obejmuje również kurs „Algebry abstrakcyjnej 1”

List of speciality courses - matematyka nauczycielska - Winter semester, 2026/27 See additional information
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details Lecture: 5 h , including sub-activities: Simultaneous lecture: 5 h Form of verification: Non-graded credit Small group: 30 h Form of verification: Non-graded credit Course type: Obligatory	Lecture: 5, including sub-activities: Simultaneous lecture: 5 Small group: 30	Written exam/Oral exam	3	Obligatory
Course details Ćwiczenia praktyczne: 15 h Form of verification: Graded credit Course type: Obligatory	Ćwiczenia praktyczne: 15	Graded credit	3	Obligatory
Course details Small group: 10 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 10	Non-graded credit	2	Obligatory
Course details Small group: 9 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 9	Non-graded credit	1	Obligatory
Course details Large group: 12 h Form of verification: Non-graded credit Course type: Obligatory	Large group: 12	Non-graded credit	2	Obligatory
Course details Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 15	Non-graded credit	1	Obligatory
Course details Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 15	Written exam/Oral exam	1	Obligatory
Course details Lecture: 15 h , including sub-activities: Simultaneous lecture: 15 h Form of verification: Non-graded credit Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Lecture: 15, including sub-activities: Simultaneous lecture: 15 Small group: 15	Written exam/Oral exam	2	Obligatory
Course details Psychological and pedagogical practice: 30 h Form of verification: Non-graded credit Course type: Obligatory	Psychological and pedagogical practice: 30	Non-graded credit	2	Obligatory
Sum	171		17

List of courses - Summer semester, 2026/27 See additional information
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details Large group: 12 h Form of verification: Non-graded credit Course type: Obligatory	Large group: 12	Non-graded credit	2	Obligatory
Course details 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
Course details 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
Course details 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
Course details 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 Course details 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

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Egzamin dyplomowy: Student przystępuje do egzaminu dyplomowego licencjackiego. Tematyka egzaminu dla każdej uruchomionej specjalności będzie zatwierdzana przez Radę Instytutu Matematyki i podawana studentom przed zakończeniem drugiego roku studiów.

List of speciality courses - matematyka nauczycielska - Summer semester, 2026/27
Subject	Activity / Hours	Form of verification	ECTS points	Course type
Course details 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
Course details Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 15	Non-graded credit	2	Obligatory
Course details Student internship: 60 h Form of verification: Graded credit Course type: Obligatory	Student internship: 60	Graded credit	5	Obligatory
Course details Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 15	Non-graded credit	1	Obligatory
Course details Small group: 15 h Form of verification: Non-graded credit Course type: Obligatory	Small group: 15	Non-graded credit	1	Obligatory
Sum	117		11