applied mathematics (MSDZ1_19)

possess maturity certificate, positive result of the enrolment procedure

Resolution No. 464/XXVI/XV/2019 of the Senate of Bialystok University of Technology of 27 June 2019 on determining the learning outcomes for the studies commencing in the academic year 2019/2020 at Bialystok University of Technology

Learning outcomes for the first cycle programme in the field of study Applied Mathematics, practical profile

Reference to the National Qualifications Framework (NQF) and the second stage level descriptors of the Polish Qualifications Framework (PQF) and the reference to the engineering competences

Symbol of the learning outcome - Description of learning outcomes; The graduate - Reference to the National Qualifications Framework - Reference to the second stage level descriptors of the PQF - Reference to the engineering competences

Knowledge:
K_W01 - has general knowledge on construction of mathematical theories and understands the role of mathematical formalism in describing and solving problems of science and technology - T1P_W01, X1P_W01 - P6S_WG
K_W02 - knows mathematical methods to the extent necessary for formal and quantitative description, understanding and modelling of problems from different fields of science and technology, especially automatics and robotics - T1P_W01, X1P_W02 - P6S_WG
K_W03 - knows basic calculation methods and theorems from the known branches of mathematics and examples of practical implementation of higher mathematics techniques with the use of computer tools - T1P_W01, X1P_W01, X1P_W03 - P6S_WG
K_W04 - knows selected notions and methods of mathematical logic, the theory of multiplicity and discrete mathematics; knows and understands examples of their practical use, especially in computer applications - T1P_W01, X1P_W01 - P6S_WG
K_W05 - knows the basics of mathematical analysis and its applications with special consideration of differential and integral calculus - T1P_W01, X1P_W01, X1P_W04 - P6S_WG
K_W06 - knows theoretical foundations, methods and techniques of algebra, number theory and analytic geometry and their applications, with special emphasis on linear algebra - T1P_W01,
X1P_W01 - P6S_WG
K_W07 - knows the basics of calculus of probability and statistics and their applications - T1P_W01, X1P_W01, X1P_W02, X1P_W03 - P6S_WG
K_W08 - knows the basics of differential and difference equations and their applications, in particular in automation and robotics - T1P_W01, X1P_W01, X1P_W02 - P6S_WG
K_W09 - knows the principles of programming, in particular structural programming, and basics of software engineering - T1P_W02, T1P_W04, T1P_W05, T1P_W06, X1P_W04 - P6S_WG - P6S_WG
K_W10 - knows basic algorithms and data structures used to solve engineering and scientific problems - T1P_W02, T1P_W04, T1P_W06, X1P_W04 - P6S_WG
K_W11 - knows the principles of designing and using databases, in particular relational ones, and extracting information from them - T1P_W02, T1P_W03, T1P_W06, X1P_W05 - P6S_WG - P6S_WG
K_W12 - knows basic methods of data acquisition, representation, processing, exploration, analysis and visualisation - T1P_W03, T1P_W05, T1P_W06, X1P_W04 - P6S_WG
K_W13 - has basic knowledge of selected software packages for symbolic, numerical and statistical calculations - T1P_W04, T1P_W06, X1P_W04, X1P_W05 - P6S_WG
K_W14 - has basic knowledge of norms and technical standards, mainly related to information technology - T1P_W07 - P6S_WG
K_W15 - knows the basic principles of occupational safety and hygiene, with particular emphasis on the nature of work of a mathematician and an engineer - X1P_W06, T1P_U11 - P6U_WK
K_W16 - knows the basic principles of creating, running and developing a business, including individual business - T1P_W09, T1P_W11, X1P_W09 - P6U_WK - P6U_WK
K_W17 - understands social, economic, legal and other non-technical conditions of engineering activities - T1P_W08, X1P_W07 - P6S_WG
K_W18 - knows basic terms and principles concerning protection of industrial property and copyright, and is able to use patent information resources - T1P_W10, X1P_W07, X1P_W08 - P6S_WK

Skills:
K_U01 - is able to formulate definitions and theorems, and to perform correct mathematical reasoning, in particular the proofs of theorems - X1P_U01 - P6S_UW - P6S_UW
K_U02 - uses the language of logic and theory of multiplicity, in particular while interpreting problems from different areas of mathematics; is able to indicate theoretical aspects that have practical implications, especially in computer science - T1P_U10, X1P_U01 - P6S_UW - P6S_UW
K_U03 - can operate with the concepts of discrete mathematics; can apply these concepts to practical problems - T1P_U09, X1P_U01, X1P_U02 - P6S_UW - P6S_UW
K_U04 - uses in different contexts the notions of convergence, limit and continuity - T1P_U09, X1P_U01, X1P_U02 - P6S_UW - P6S_UW
K_U05 - is able to use theorems and methods of differential and integral calculus of functions of one and many variables in different areas of mathematics and its applications, in particular in automatic control and robotics - T1P_U09, X1P_U01, X1P_U02 - P6S_UW - P6S_UW
K_U06 - is able to apply theorems and algebraic methods, with special emphasis on linear algebra, in different areas of mathematics and its applications, especially in automatics and robotics - T1P_U09, X1P_U01 - P6S_UW - P6S_UW
K_U07 - uses the notions of group, ring, body, linear space; recognises the presence of these algebraic structures in different areas of mathematics and its applications - T1P_U09, X1P_U02 - P6S_UW - P6S_UW
K_U08 - can build and analyse a mathematical model of a random experiment and use discrete and continuous probability distributions - T1P_U08, T1P_U09, T1P_U14, X1P_U01, X1P_U03 - P6S_UW - P6S_UW
K_U09 - has the ability to model phenomena and processes on the basis of data from various sources, using mathematics, statistics and computer tools - T1P_U01, T1P_U08, T1P_U09, T1P_U14, X1P_U01, X1P_U02, X1P_U03, X1P_U04 - P6S_UW - P6S_UW
K_U10 - recognizes problems, including practical problems that can be solved algorithmically; is able to make specification of such a problem; is able to create and analyse an algorithm compliant with the specification - T1P_U08, T1P_U09, T1P_U14, T1P_U15, T1P_U16, X1P_U03, X1P_U04 - P6S_UW - P6S_UW
K_U11 - is able to compile, run and test independently written computer programme - T1P_U09, T1P_U13, T1P_U15, T1P_U16, T1P_U17 - P6S_UW - P6S_UW
K_U12 - can select and use an appropriate software package to solve a specific problem; to a basic extent can extend the functionality of selected packages - T1P_U09, T1P_U15, T1P_U17, X1P_U04 - P6S_UW - P6S_UW
K_U13 - can design a programme solving a given problem, implement and test it; can select appropriate algorithms and data structures for the given programming problem; can estimate the time and memory cost of the presented solution - T1P_U08, T1P_U09, T1P_U13, T1P_U15, X1P_U03 - P6S_UW - P6S_UW
K_U14 - is able to design and implement a database, including a relational one, and use its resources in information systems; is able to administer a database at a basic level - T1P_U09, T1P_U13, T1P_U15, T1P_U16, T1P_U17 - P6S_UW - P6S_UW
K_U15 - is able, using adequate methods, to obtain, process and visualise data - T1P_U09, T1P_U15, X1P_U03 - P6S_UW - P6S_UW
K_U16 - can apply basic methods and algorithms in data analysis and exploration - T1P_U09, T1P_U15 - P6S_UW - P6S_UW
K_U17 - can use norms and technical standards, especially related to computer science - T1P_U19 - P6S_UW - P6S_UW
K_U18 - can work in a team, taking up various roles; plans the work, identifying and defining tasks and verifies its execution - T1P_U02, T1P_U07, T1P_U10, T1P_U12, T1P_U14 - P6S_UO - P6S_UW
K_U19 - is able to learn independently; recognises the benefits of further education and expanding ones skills - T1P_U05, X1P_U07 - P6S_UU
K_U20 - has experience in solving practical tasks and applying technologies specific to applied mathematics, gained in an environment of professional engineering activity - T1P_U18 - P6S_UW - P6S_UW
K_U21 - applies the principles of occupational safety and hygiene and ergonomics - T1P_U11 - P6S_UO
K_U22 - communicates in Polish and foreign languages, both with mathematicians, engineers and persons without technical knowledge, using the latest ICT techniques, to the extent necessary to solve problems, including engineering ones, requiring the application of mathematical methods - T1P_U01, T1P_U02, T1P_U06, T1P_U07, T1P_U10, X1P_U05, X1P_U06, X1P_U09, X1P_U10 - P6S_UK
K_U23 - presents, on the basis of materials prepared individually and acquired from sources, orally and in writing, in Polish and a foreign language, using the latest ICT techniques and in a way comprehensible also to non-engineers, technical issues in the field of mathematics and its applications, and the results of his/her work, T1P_U01, T1P_U02, T1P_U03, T1P_U04, T1P_U06, T1P_U07, X1P_U05, X1P_U08, X1P_U10 - P6S_UK

Social competence:
K_K01 - understands the need for lifelong learning, especially in order to improve their professional and personal competences - T1P_K01, X1P_K01, X1P_K05 - P6S_UU
K_K02 - can think and act in an entrepreneurial way - T1P_K06, X1P_K07 - P6S_KO
K_K03 - can work in a group, taking various roles in it - T1P_K03, X1P_K02 - P6S_UO
K_K04 - is able to determine the priority and identify and solve dilemmas related to realisation of a task defined by oneself or others - T1P_K04, T1P_K05, X1P_K03, X1P_K04 - P6S_KK
K_K05 - is aware of the importance and understanding of the non-technical aspects and effects of engineering activities, including their impact on the environment, and accordingly takes responsibility for the decisions taken - T1P_K02 - P6S_KKK, P6S_KR
K_K06 - is aware of the social role of a technical university graduate, especially understands the need to formulate and convey to the society, including through mass media, information and opinions on the achievements of applied mathematics and other aspects of mathematician's and engineer's activity; makes efforts to convey such information and opinions in a commonly understood way - T1P_K07, X1P_K06 - P6S_KO, P6S_UK
K_K07 - acts ethically and professionally; understands and appreciates the importance of honesty in the profession of a mathematician and an engineer - T1P_K02, T1P_K05, X1P_K04, X1P_K06 - P6S_KR

Meaning of symbols:
K - learning outcomes for the field of study Applied Mathematics
W – category of knowledge
U – category of skills
K – category of social competence
01, 02, 03... - number of learning outcome
Description of symbols according to the Polish Qualifications Framework (pursuant to the Act of 22 December 2015 on the Integrated Qualifications System):
P6S - learning outcomes for first cycle studies according to the Polish Qualifications Framework (qualifications obtained typical for higher education (second stage descriptors) - LEVEL 6, general academic profile);
P = PQF level (1...8)
S - level descriptor typical for higher education
W - knowledge (the graduate knows and understands):
G = depth and scope, K = context;
U - skills (the graduate can):
W = applying knowledge; K = communicating; O = organising work; U = learning;
K - social competence (the graduate is ready to):
K = critical evaluation; O = responsibility; R = professional role.