Mathematics Programme code: W4-S2MT19.2023

Absolwent specjalności matematyczne metody informatyki posiada szerokie przygotowanie matematyczne i informatyczne pozwalające na pracę na stanowisku informatycznym, szczególnie zaś w tych obszarach, gdzie istotną rolę odgrywają narzędzia i metody matematyczne. Posiada umiejętność tworzenia, optymalizacji i badania złożoności obliczeniowej algorytmów rozwiązujących konkretne zagadnienia praktyczne, umiejętność konstrukcji i implementacji oprogramowania, umiejętność obsługi pakietów wspomagania prac inżynierskich i statystycznego przetwarzania danych, wiedzę potrzebną do projektowania, obsługi i administrowania bazami danych. Dzięki pogłębionemu wykształceniu matematycznemu i szerokim umiejętnościom informatycznym jest zdolny do współpracy interdyscyplinarnej ze wszystkimi, którzy w swej działalności wykorzystują matematykę i informatykę oraz do samokształcenia i samodzielnego uzupełniania wiedzy w szybko zmieniającej się rzeczywistości.

Internships are an integral part of the study program, carried out by students in individual fields, levels, profiles and forms of study. Internships are to help in confronting the knowledge acquired during studies with the requirements of the labour market, acquiring skills useful in the profession, learning about practical issues related to working in positions for which the student is prepared during the course of studies. The internship is to familiarize the student with professional language relevant to a specific industry and work culture. The rules for the organization of internships are set out in the Rector's ordinance. Detailed rules of apprenticeship taking into account the specifics of particular fields of study are set out in the field's of study apprenticeship regulations, in particular: learning outcomes assumed to be achieved by the student during the apprenticeship, framework apprenticeship program including a description of issues, dimension of apprenticeship (number of weeks of practice); form of internship (continuous, mid-year), criteria for choosing the place of internship, obligations of the student staying in the internship, obligations of the academic tutor, conditions for completing the internship by the student and conditions for exemption from the internship obligation in whole or in part. The number of ECTS and the number of hours are specified in the course structure.

Absolwent specjalności modelowanie matematyczne w trakcie studiów otrzymuje szerokie wykształcenie matematyczne i informatyczne uzupełnione o zaawansowaną wiedzę w zakresie nauk przyrodniczych. Dzięki temu dysponuje pełnym aparatem zaawansowanych metod matematycznych i informatycznych używanych we współczesnej nauce, technice i jest przygotowany do nawiązania współpracy interdyscyplinarnej z inżynierami, informatykami i biologami. Absolwent przygotowany jest do konstrukcji i implementacji oprogramowania kierującego procesami przemysłowymi, statystycznego przetwarzania danych, przygotowywania testów wdrożeniowych nowych technologii i ich statystycznego opracowywania, optymalizacji procesów przemysłowych oraz modelowania i symulacji komputerowej zjawisk przyrodniczych i procesów technologicznych.

Internships are an integral part of the study program, carried out by students in individual fields, levels, profiles and forms of study. Internships are to help in confronting the knowledge acquired during studies with the requirements of the labour market, acquiring skills useful in the profession, learning about practical issues related to working in positions for which the student is prepared during the course of studies. The internship is to familiarize the student with professional language relevant to a specific industry and work culture. The rules for the organization of internships are set out in the Rector's ordinance. Detailed rules of apprenticeship taking into account the specifics of particular fields of study are set out in the field's of study apprenticeship regulations, in particular: learning outcomes assumed to be achieved by the student during the apprenticeship, framework apprenticeship program including a description of issues, dimension of apprenticeship (number of weeks of practice); form of internship (continuous, mid-year), criteria for choosing the place of internship, obligations of the student staying in the internship, obligations of the academic tutor, conditions for completing the internship by the student and conditions for exemption from the internship obligation in whole or in part. The number of ECTS and the number of hours are specified in the course structure.

Absolwent specjalności matematyka w finansach i ekonomii, obok poszerzonego i pogłębionego przygotowania matematycznego, posiada wiedzę w zakresie zastosowań matematyki w rozwiązywaniu problemów praktycznych i teoretycznych w finansach i ekonomii takich, jak sterowanie i optymalizacja działalności ekonomicznej, przetwarzanie i statystyczne opracowywanie danych, matematyczne modelowanie zjawisk ekonomicznych i finansowych, przygotowywanie prognoz i analiz działalności ekonomicznej, finansowej oceny projektów inwestycyjnych, wykorzystywanie metod matematycznych na rynku kapitałowym i ubezpieczeniowym. Umiejętności te pozwalają na podjęcie pracy w sektorze finansowym i ubezpieczeniowym, w handlu lub też w przemyśle.

Internships are an integral part of the study program, carried out by students in individual fields, levels, profiles and forms of study. Internships are to help in confronting the knowledge acquired during studies with the requirements of the labour market, acquiring skills useful in the profession, learning about practical issues related to working in positions for which the student is prepared during the course of studies. The internship is to familiarize the student with professional language relevant to a specific industry and work culture. The rules for the organization of internships are set out in the Rector's ordinance. Detailed rules of apprenticeship taking into account the specifics of particular fields of study are set out in the field's of study apprenticeship regulations, in particular: learning outcomes assumed to be achieved by the student during the apprenticeship, framework apprenticeship program including a description of issues, dimension of apprenticeship (number of weeks of practice); form of internship (continuous, mid-year), criteria for choosing the place of internship, obligations of the student staying in the internship, obligations of the academic tutor, conditions for completing the internship by the student and conditions for exemption from the internship obligation in whole or in part. The number of ECTS and the number of hours are specified in the course structure.

Absolwent specjalności nauczycielska - nauczanie matematyki i chemii posiada gruntowną wiedzę matematyczną a także chemiczną niezbędną do nauczania matematyki i chemii we wszystkich typach szkół. Będzie pedagogiem wszechstronnie przygotowanym do kompleksowej realizacji zadań dydaktycznych i wychowawczych, który w procesie nauczania potrafi wykorzystywać wiedzę pedagogiczną i psychologiczną, a także nowoczesne narzędzia multimedialne. Dobre przygotowanie merytoryczne i umiejętność korzystania z literatury i technologii informatycznych pozwoli absolwentowi dostosować swoją wiedzę i umiejętności do stale zmieniających się warunków nauczania Specjalność ta adresowana jest do absolwentów specjalności nauczycielskiej kierunku matematyka studiów pierwszego stopnia, która przygotowywała do nauczania dwóch przedmiotów: matematyki i chemii.

Internships are an integral part of the study program, carried out by students in individual fields, levels, profiles and forms of study. Internships are to help in confronting the knowledge acquired during studies with the requirements of the labour market, acquiring skills useful in the profession, learning about practical issues related to working in positions for which the student is prepared during the course of studies. The internship is to familiarize the student with professional language relevant to a specific industry and work culture. The rules for the organization of internships are set out in the Rector's ordinance. Detailed rules of apprenticeship taking into account the specifics of particular fields of study are set out in the field's of study apprenticeship regulations, in particular: learning outcomes assumed to be achieved by the student during the apprenticeship, framework apprenticeship program including a description of issues, dimension of apprenticeship (number of weeks of practice); form of internship (continuous, mid-year), criteria for choosing the place of internship, obligations of the student staying in the internship, obligations of the academic tutor, conditions for completing the internship by the student and conditions for exemption from the internship obligation in whole or in part. The number of ECTS and the number of hours are specified in the course structure.

Absolwent specjalności nauczycielska - nauczanie matematyki posiada gruntowną wiedzę matematyczną niezbędną do nauczania matematyki we wszystkich typach szkół. Będzie pedagogiem wszechstronnie przygotowanym do kompleksowej realizacji zadań dydaktycznych i wychowawczych, który w procesie nauczania potrafi wykorzystywać wiedzę pedagogiczną i psychologiczną, a także nowoczesne narzędzia multimedialne. Dobre przygotowanie merytoryczne i umiejętność korzystania z literatury i technologii informatycznych pozwoli absolwentowi dostosować swoją wiedzę i umiejętności do stale zmieniających się warunków nauczania Specjalność ta adresowana jest do absolwentów specjalności nauczycielskiej kierunku matematyka studiów pierwszego stopnia, która przygotowywała do nauczania matematyki.

Internships are an integral part of the study program, carried out by students in individual fields, levels, profiles and forms of study. Internships are to help in confronting the knowledge acquired during studies with the requirements of the labour market, acquiring skills useful in the profession, learning about practical issues related to working in positions for which the student is prepared during the course of studies. The internship is to familiarize the student with professional language relevant to a specific industry and work culture. The rules for the organization of internships are set out in the Rector's ordinance. Detailed rules of apprenticeship taking into account the specifics of particular fields of study are set out in the field's of study apprenticeship regulations, in particular: learning outcomes assumed to be achieved by the student during the apprenticeship, framework apprenticeship program including a description of issues, dimension of apprenticeship (number of weeks of practice); form of internship (continuous, mid-year), criteria for choosing the place of internship, obligations of the student staying in the internship, obligations of the academic tutor, conditions for completing the internship by the student and conditions for exemption from the internship obligation in whole or in part. The number of ECTS and the number of hours are specified in the course structure.

Absolwent specjalności nauczycielska - nauczanie matematyki i informatyki posiada gruntowną wiedzę matematyczną a także informatyczną niezbędną do nauczania matematyki i informatyki we wszystkich typach szkół. Będzie pedagogiem wszechstronnie przygotowanym do kompleksowej realizacji zadań dydaktycznych i wychowawczych, który w procesie nauczania potrafi wykorzystywać wiedzę pedagogiczną i psychologiczną, a także nowoczesne narzędzia multimedialne. Dobre przygotowanie merytoryczne i umiejętność korzystania z literatury i technologii informatycznych pozwoli absolwentowi dostosować swoją wiedzę i umiejętności do stale zmieniających się warunków nauczania Specjalność ta adresowana jest do absolwentów specjalności nauczycielskiej kierunku matematyka studiów pierwszego stopnia, która przygotowywała do nauczania dwóch przedmiotów: matematyki i informatyki.

Internships are an integral part of the study program, carried out by students in individual fields, levels, profiles and forms of study. Internships are to help in confronting the knowledge acquired during studies with the requirements of the labour market, acquiring skills useful in the profession, learning about practical issues related to working in positions for which the student is prepared during the course of studies. The internship is to familiarize the student with professional language relevant to a specific industry and work culture. The rules for the organization of internships are set out in the Rector's ordinance. Detailed rules of apprenticeship taking into account the specifics of particular fields of study are set out in the field's of study apprenticeship regulations, in particular: learning outcomes assumed to be achieved by the student during the apprenticeship, framework apprenticeship program including a description of issues, dimension of apprenticeship (number of weeks of practice); form of internship (continuous, mid-year), criteria for choosing the place of internship, obligations of the student staying in the internship, obligations of the academic tutor, conditions for completing the internship by the student and conditions for exemption from the internship obligation in whole or in part. The number of ECTS and the number of hours are specified in the course structure.

Absolwenci tej specjalności posiadają szeroką wiedzę matematyczną dzięki indywidualnemu planowi i programowi studiów odbywanych pod kierunkiem opiekuna naukowego. Są przygotowani, przede wszystkim, do podjęcia nauki na studiach doktoranckich i prowadzenia badań naukowych.

Internships are an integral part of the study program, carried out by students in individual fields, levels, profiles and forms of study. Internships are to help in confronting the knowledge acquired during studies with the requirements of the labour market, acquiring skills useful in the profession, learning about practical issues related to working in positions for which the student is prepared during the course of studies. The internship is to familiarize the student with professional language relevant to a specific industry and work culture. The rules for the organization of internships are set out in the Rector's ordinance. Detailed rules of apprenticeship taking into account the specifics of particular fields of study are set out in the field's of study apprenticeship regulations, in particular: learning outcomes assumed to be achieved by the student during the apprenticeship, framework apprenticeship program including a description of issues, dimension of apprenticeship (number of weeks of practice); form of internship (continuous, mid-year), criteria for choosing the place of internship, obligations of the student staying in the internship, obligations of the academic tutor, conditions for completing the internship by the student and conditions for exemption from the internship obligation in whole or in part. The number of ECTS and the number of hours are specified in the course structure.

knows and understands classical knowledge of basic branches of mathematics [K_W01]

knows and understands the role and importance of the constructions of mathematical reasoning [K_W02]

knows and understands the most important theorems and hypotheses from the main branches of mathematics [K_W03]

knows and understands specialized issues from the selected field of mathematics [K_W04]

knows and understands the latest discoveries and directions of development of selected mathematical theories [K_W05]

knows and understands the concepts and principles of industrial property protection and copyright protection [K_W06]

The student has in-depth knowledge of selected scientific methods and knows problems characteristic of a particular field of science unrelated to the leading discipline of the study programme. [OOD.2024_W01]

can construct mathematical reasoning such as theorem proving or refuting hypotheses by constructing and selecting counter-examples [K_U01]

can express mathematical content in speech and writing, in mathematical texts of different nature [K_U02]

can verify the correctness of the inference in building formal evidence [K_U03]

can carry out evidence in the selected field in which uses the tools from other branches of mathematics if necessary [K_U04]

can - at an advanced level and including modern mathematics - apply and present in speech and writing the methods of at least one selected branch of mathematics [K_U05]

can identify and develop their interests; in particular, is able to establish contact with specialists in their field, e.g. understand their lectures for young mathematicians [K_U06]

can construct mathematical models used in specific applications of mathematics [K_U07]

communicates in a foreign language using advanced language communication competences and has the ability to comprehensively read complex scientific texts and an in-depth ability to prepare various written works (including research) and oral presentations on specific issues in a given programme in a foreign language [K_U08]

can prepare presentations on advanced mathematical issues and present them to non-specialists in these issues [K_U09]

is aware of the importance of team effort for the success of various projects, effectively works on the team, can organize the work of the team [K_U10]

The student has advanced skills to set scientific questions and analyse problems or to solve problems practically on the basis of the course content, experience and skills gained in a particular field of science unrelated to the leading discipline of the study programme. [OOD.2024_U01]

is ready for further self-education [K_K01]

is ready to formulate precise questions to deepen one's understanding of the subject or to find the missing elements of reasoning [K_K02]

is willing to appreciate the importance of intellectual honesty in one's own and others' actions and acts ethically [K_K03]

is ready to popularise selected achievements of higher mathematics [K_K04]

is prepared to show a critical attitude towards theorems, remarks and conclusions, especially those which are not supported by a logical justification [K_K05]

is ready to form objective opinions on issues where mathematics is the language of description [K_K06]

is ready to entrepreneurial pursuit of the tasks undertaken [K_K07]

The student has in-depth knowledge of selected scientific methods and knows problems characteristic of a particular field of science unrelated to the leading discipline of the study programme. [OOD.2024_KS01]

ma zaawansowaną wiedzę w zakresie chemii analitycznej, fizycznej, strukturalnej, biologicznej i chemii związków koordynacyjnych [KN_Ch_W01]

posiada pogłębioną wiedzę z zakresu chemii i nauk pokrewnych i wiąże tą wiedzę z budową, właściwościami, reaktywnością pierwiastków i związków chemicznych, a także z jakościową i ilościową interpretacją zjawisk zachodzących w przyrodzie [KN_Ch_W02]

zna chemiczne i instrumentalne metody stosowane w analizie określonych produktów chemicznych i materiałów złożonych, w tym budowę i zasadę działania aparatury pomiarowej i sprzętu chemicznego [KN_Ch_W03]

zna właściwości, sposoby przemysłowego otrzymywania i analizy wybranych produktów chemicznych oraz zasady racjonalnego zarządzania chemikaliami zgodnie z przepisami BHP [KN_Ch_W04]

zna metody obliczeniowe, statystyczne i narzędzia informatyczne stosowane do rozwiązywania typowych problemów z zakresu chemii i opracowywania wyników eksperymentalnych [KN_Ch_W05]

zna zasady BHP pozwalające na samodzielną pracę na stanowisku badawczym [KN_Ch_W06]

knows and understands the organization and architecture of computers [KN_NI_W01]

has knowledge of different operating systems [KN_NI_W02]

understands the construction and understands the functioning principles of computer networks and network devices [KN_NI_W03]

knows and understands the concept of algorithm and the principles of designing and analysis of algorithm and data structures [KN_NI_W04]

has knowledge in the field of robot programming [KN_NI_W05]

knows high-level languages and programming techniques [KN_NI_W06]

knows and understands the principles for using e-learning platforms [KN_NI_W07]

knows the database systems and understands their role and their functioning [KN_NI_W08]

is familiar with the principles of designing of responsive websites and placing them in the net [KN_NI_W09]

knows and understands the mathematical basics of information theory and cryptography and their selected practical applications [KN_NI_W10]

has an in-depth knowledge of legal and ethical issues related to IT [KN_NI_W11]

knows the principles of health and safety when using computer equipment [KN_NI_W12]

knows and understands the rudiments of the philosophy of education and pedagogical axiology, the peculiarities of the main educational environments and the processes taking place in them [KN.2023_W01]

knows and understands classical and contemporary theories of human development, upbringing, learning and teaching or education as well as their application values [KN.2023_W02]

knows and understands the role of the teacher or tutor in modeling the students’ attitudes and behavior [KN.2023_W03]

knows and understands standards, procedures and good practices used in pedagogical activities (pre-school education, teaching in primary and secondary schools, in technical and vocational schools, in special needs schools and in special needs and inclusive facilities, in various types of educational centres and lifelong learning centres [KN.2023_W04]

knows and understands the issue of inclusive education as well as ways of implementing the principle of inclusion [KN.2023_W05]

knows and understands the diversity of students' educational needs and the resulting school's obligations to adapt the way the education and upbringing process is organized [KN.2023_W06]

knows and understands methods of designing and conducting diagnostic activities in pedagogical practice [KN.2023_W07]

knows and understands the structure and functions of the education system – objectives, legal basis, organization and functioning of different kinds of educational and child care institutions, as well as alternative forms of education [KN.2023_W08]

knows and understands the legal basis of the education system necessary for the proper implementation of educational activities [KN.2023_W09]

knows and understands the rights of the child and the person with disabilities [KN.2023_W10]

knows and understands the principles of occupational health and safety in educational, upbringing and care institutions and the legal responsibility of the teacher in this/her respect, as well as the principles of first aid [KN.2023_W11]

knows and understands interpersonal and social communication processes, the normal course they can take as well as the ways they can be disrupted [KN.2023_W12]

knows and understands the speech apparatus, its functions and pathologies, the principles of voice emission, the visual and the vestibular systems [KN.2023_W13]

knows and understands learning content and typical learning difficulties it poses for students [KN.2023_W14]

knows and understands teaching methods and the selection of effective teaching aids, including Internet resources which support teaching a subject or conducting classes, taking into account the diverse educational needs of the students [KN.2023_W15]

potrafi interpretować i rozwiązywać problemy z zakresu chemii i nauk pokrewnych oraz potrafi wytłumaczyć określone problemy z dziedziny biologii, ochrony środowiska i farmacji [KN_Ch_U01]

potrafi zastosować metody matematyczne, statystyczne, oraz typowe oprogramowanie użytkowe do rozwiązywania problemów z zakresu chemii a także oceny wiarygodności danych eksperymentalnych i wizualizacji wyników [KN_Ch_U02]

potrafi określić strukturę, reaktywność, typ oddziaływań molekularnych i właściwości związków chemicznych oraz interpretować uzyskane technikami instrumentalnymi dane eksperymentalne [KN_Ch_U03]

potrafi zsyntetyzować różnego rodzaju związki nieorganiczne i koordynacyjne, przeprowadzić pomiary fizykochemiczne, określić skład jakościowy i ilościowy prostych związków chemicznych stosując klasyczne i instrumentalne techniki pomiarowe [KN_Ch_U04]

potrafi przygotować prace pisemne (sprawozdania, raporty, opracowania) i prezentacje ustne dotyczące zagadnień z dziedziny chemii [KN_Ch_U05]

jest odpowiedzialny za pracę indywidualną i zespołową planując ją w sposób racjonalny i zgodny z zasadami zrównoważonego rozwoju z przepisami BHP i zasadami dobrej praktyki laboratoryjnej [KN_Ch_U06]

realizuje ideę samokształcenia służącego pogłębianiu zdobytej wiedzy, niezbędnej do rozwiązywania problemów praktycznych i poznawczych [KN_Ch_U07]

can administer computers with different operating systems, counter threats that could destroy the results of computer work and perform the basic system diagnostics [KN_NI_U01]

can administer a simple, local computer network providing security [KN_NI_U02]

can use virtual environments (cloud, hardware emulators) [KN_NI_U03]

can write a program in the selected programming language [KN_NI_U04]

can write a program in a selected high-level programming language [KN_NI_U05]

can write a program for a built robot [KN_NI_U06]

can manage an e-learning course [KN_NI_U07]

can design websites using modern technologies [KN_NI_U08]

can design and manage databases [KN_NI_U09]

can administer a computer network, configure network devices and solve network-related problems [KN_NI_U10]

can cooperate in a group and organize the group's work during the implementation of joint IT projects [KN_NI_U11]

applies the principles of health and safety at work in a computer laboratory [KN_NI_U12]

is able to observe pedagogical situations and events, to analyze them using pedagogical and psychological knowledge and to propose solutions to problems [KN.2023_U01]

is able to adequately select, create and adapt materials and means to the diverse needs of the students, including in the field of information and communication technology, as well as methods for independent design and effective implementation of pedagogical, didactic, educational and child care activities [KN.2023_U02]

is able to recognize the needs, abilities and talents of students and to design and conduct activities promoting the integral development of students, their activity and participation in the process of education and upbringing, and in social life [KN.2023_U03]

is able to design and implement curricula taking into account the diverse educational needs of the students [KN.2023_U04]

is able to design and implement educational-preventive programs concerning the content and educational as well as preventive activities directed at students, their parents or guardians and teachers [KN.2023_U05]

is able to create training situations motivating students to study and to work on themselves, to analyze their effectiveness and modify activities so as to achieve the desired educational effects [KN.2023_U06]

is able to undertake work with students that stimulates their interests and develops their talents, to properly select teaching content, tasks and forms of work as part of self-education, also to promote students' achievements [KN.2023_U07]

is able to develop in students creativity and the ability of independent, critical thinking [KN.2023_U08]

is able to effectively stimulate and monitor students’ teamwork involving educational projects [KN.2023_U09]

is able to use the process of assessment and feedback in order to stimulate students in their work on their own development [KN.2023_U10]

is able to monitor students’ progress, their activity and participation in the social life of the school [KN.2023_U11]

is able to work with children with special educational needs, including children with adaptation difficulties related to their migration experience, who come from culturally diverse backgrounds or with limited knowledge of the Polish language [KN.2023_U12]

is able to responsibly organize the students' school and extracurricular work, respecting his/her right to rest [KN.2023_U13]

is able to effectively implement activities supporting students in making informed and responsible educational and professional decisions [KN.2023_U14]

is able to use the Polish language correctly; to use subject-related terminology correctly and adequately to the age of the students [KN.2023_U15]

is able to use the speech apparatus in accordance with the principles of voice emission [KN.2023_U16]

is able to provide first aid [KN.2023_U17]

is able to develop knowledge and pedagogical skills on one’s own, using various sources, including sources in foreign languages, as well as technology [KN.2023_U18]

krytycznie ocenia zasób posiadanej wiedzy, rozumie potrzebę interdyscyplinarnego podejścia do rozwiązywanych problemów z uwzględnieniem opinii ekspertów w przypadku trudności w samodzielnym ich rozwiązaniu [KN_Ch_K01]

rozumie i przestrzega zasad etyki zawodowej i własności intelektualnej [KN_Ch_K02]

understands the need to comply with ethical and legal principles related to activity in the IT environment (e.g. the use of copyrights and licenses) [KN_NI_K01]

uses e-learning opportunities to work in a group [KN_NI_K02]

is ready to use universal principles and ethical standards in professional activity, guided by respect for every human being [KN.2023_KS01]

is ready to build a relation based on mutual trust between all participants of the upbringing and education process, including the student's parents or guardians, and involving them in activities conducive to educational effectiveness [KN.2023_KS02]

is ready to communicate with people from different backgrounds, exhibiting diverse emotional states, resolving conflicts through dialogue, creating an atmosphere conducive to communication in and outside the classroom [KN.2023_KS03]

is ready to make decisions related to the way the educational process is organized in inclusive education [KN.2023_KS04]

is ready to recognize the peculiarity of the local community and to engage in cooperation for the benefit of the students and the community [KN.2023_KS05]

is ready to design activities supporting the developing of the school or the educational institution and stimulating the improvement of the quality of work of these institutions [KN.2023_KS06]

is ready to work in a team, performing various roles in it and cooperating with teachers, tutors, specialists, students’ parents or guardians as well as other members of the school and local community [KN.2023_KS07]