(in Polish) Matematyka, stacjonarne, pierwszego stopnia (MATDZLIC)

possess maturity certificate, positive result of the enrolment procedure

educational standards in accordance with the directive of the Minister of Science and Higher Education, dated July 12, 2007 concerning the description of educational standards for particular study courses and education levels as well as procedures for establishment and the condiontions to be met by the university to conduct both interdisciplinary and conbined studies courses (Dz. U. No 164, item. 1166 incl. later amendments). The standards define general course requirements including the number of teaching hours, graduate`s profile, curricula for individual courses including subjects of general, core and specialist education as well as requirements and recommendations concerning internship.

Resolution No. 26/51/2012 of the Senate of Bialystok University of Technology of 24 May 2012 on determining learning outcomes for first cycle courses in the field of Mathematics at Bialystok University of Technology

Meaning of symbols:
K (before underscores) – learning outcomes for the field of study
W – category of knowledge
U – category of skills
K (after underscores) – category of social competence
X1A – learning outcomes in the educational area of exact sciences for first cycle courses
T1A – learning outcomes in the educational area of technical sciences for first cycle courses
01, 02, 03 and subsequent numbers – number of the learning outcome

Symbol - Learning outcome - Learning outcomes for the area (areas) of study
KNOWLEDGE
K_W01 - understand the civilizational significance of mathematics and its applications - X1A_W01
K_W02 - have a good understanding of the role and importance of proofs in mathematics and realise the significance of mathematical assumptions - X1A_W03
K_W03 - understand the structure of mathematical theories; graduates can apply mathematical formalism to create and analyse simple mathematical models in other areas of science - X1A_W02 X1A_W03
K_W04 - know the basic theorems in the areas of mathematics they have studied - X1A_W01 X1A_W03
K_W05 - know the basic examples both illustrating specific mathematical notions and allowing for disproving erroneous hypotheses or false reasoning - X1A_W03
K_W06 - know selected notions and methods of mathematical logics, set theory, and discrete mathematics - X1A_W01
K_W07 - know the foundations of mathematical analysis and topology (in particular, the differential and integral calculus) - X1A_W01
K_W08 - know the foundations of algebra (in particular, linear algebra) - X1A_W01
K_W09 - know the foundations of the probability theory and statistics - X1A_W01
K_W10 - know the foundations of computational methods and programming aiding mathematicians in their work, and understand the limitations of these methods - X1A_W04 X1A_W05
K_W11 - have a basic knowledge of at least one software system for symbolic computations - X1A_W05
K_W12 - know at least one foreign language at the upper-intermediate (B2) level - X1A_U10
K_W13 - know the basic principles of occupational health and safety - X1A_W06
K_W14 - have a basic knowledge of legal and ethical constraints connected with scientific or educational activities - X1A_W07
K_W15 - know and understand basic notions and regulations regarding the protection of industrial property and copyright; graduates can use patent information resources - X1A_W08
K_W16 - know general principles of creating and developing different forms of individual business activity, applying their knowledge of mathematics - X1A_W09
K_W17 - have the knowledge of algorithms and data structures, computer graphics, as well as high-level programming methods and techniques, in particular object programming - T1A_W04, T1A_W07, T1A_ W02
K_W18 - have a systematised and theoretically-based knowledge of databases - T1A_W03, T1A_W04
K_W19 - have a systematised knowledge of computer and teleinformatic networks; graduates have an elementary knowledge of the security of computer networks and systems - T1A_W03, T1A_W04, T1A_ W07

SKILLS
K_U01 - can present correct mathematical reasoning as well as formulate theorems and definitions in an understandable way, both orally and in writing - X1A_U01, X1A_U06
K_U02 - can use propositional and predicate calculus; graduates can correctly construct mathematical proofs at the easy or medium difficulty level, also with the use of the complete induction method - X1A_U01
K_U03 - can apply the classical logics system to the formalisation of mathematical theories - X1A_U01
K_U04 - use the language of the set theory while interpreting issues concerning various areas of mathematics; graduates understand issues connected with different types of infinity and order in sets - X1A_U01
K_U05 - can use the terms of ‘function’ and ‘relation’, define functions and relations recursively, and apply these terms to practical issues - X1A_U01, X1A_U02, X1A_U03
K_U06 - use the terms of ‘convergence’ and ‘limits of series and functions’ in various contexts; graduates can determine the convergence of numerical and functional series - X1A_U01, X1A_U02
K_U07 - can use theorems and methods of the differential and integral calculus of functions of a single variable and of several variables in various areas of mathematics and its applications; graduates can integrate functions of a single variable and of several variables - X1A_U01, X1A_U02, X1A_U03
K_U08 - can apply numerical tools and methods to solving selected problems of the differential and integral calculus, including also problems based on its applications - X1A_U02, X1A_U04
K_U09 - use the basic notions of linear algebra and analytic geometry, find linear transformation matrices in various bases, as well as calculate determinants and know their properties; graduates also determine eigenvalues and eigenvectors of matrices, solve systems of linear equations, and can interpret the solutions in a geometrical way - X1A_U01
K_U10 - use the terms of ‘group’, ‘ring’, ‘field’, and ‘linear space’, and recognise the presence of these algebraic structures in various mathematical issues not necessarily directly connected with algebra; graduates can create new objects by means of constructing quotient structures or Cartesian products - X1A_U01
K_U11 - can solve selected types of ordinary differential equations and systems of ordinary linear differential equations of constant coefficients - X1A_U01
K_U12 - identify and determine the most important topological properties of Euclidean space and metric space subsets - X1A_U01
K_U13 - recognise problems (including practical issues) which may be solved algorithmically; graduates can specify such problems as well as create and analyse algorithms according to these specifications - X1A_U04, T1A_U09, T1A_U15, T1A_ U16
K_U14 - can implement specific algorithms in a selected programming language; graduates can also compile, run, and test computer programs written independently by themselves - X1A_U04, T1A_U09, T1A_U15, T1A_U16
K_U15 - can apply computer programs to data analysis - X1A_U04
K_U16 - use the term ‘probabilistic space’; graduates can construct and analyse mathematical models of random experiments; graduates can also evaluate probability, applying limit theorems and the law of large numbers - X1A_U01, X1A_U05
K_U17 - can use discrete and continuous probability distributions, know their practical applications, and can determine the distribution parameters - X1A_U01
K_U18 - can use statistical characteristics of population and their sample counterparts; graduates can perform simple statistical inferences, also using computer tools - X1A_U01, X1A_U02, X1A_U04
K_U19 - can present mathematical issues in an understandable and informal way - X1A_U06, X1A_U09
K_U20 - have the ability to prepare oral presentations and standard written texts (in the Polish language and in a foreign language) on detailed issues, applying the basic theoretical approaches and using various sources - X1A_U05, X1A_U08, X1A_U09, X1A_U10
K_U21 - have foreign language skills pertaining to mathematics and computer science, pursuant to the requirements determined in the Common European Framework of Reference for Languages for the B2 level - X1A_U10
K_U22 - can learn independently - X1A_U07
K_U23 - can install, configure, and maintain utility applications and computer networks; graduates can, to a basic extent, secure computer networks, information technology (IT) systems, and data against unauthorised access and possible results of typical failures - T1A_U13, T1A_U14, T1A_U16
K_U24 - graduates can design, implement, and launch applications and simple IT systems according to the predefined functional and economic criteria - T1A_U12, T1A_U15, T1A_ U16

SOCIAL COMPETENCE
K_K01 - are aware of the limitations of their knowledge and understand the need for further education - X1A_K01, X1A_U07
K_K02 - can precisely formulate questions to deepen their understanding of the particular issue or to find the missing elements of reasoning as well as make adequate decisions and take appropriate actions - X1A_K01, X1A_K02, X1A_U09
K_K03 - can work in teams; graduates understand the need for systematic work on any long-term project - X1A_K02
K_K04 - understand and value the importance of intellectual honesty in their own and other people’s activities; graduates behave in an ethical way - X1A_K03, X1A_K04
K_K05 - understand the need to present selected achievements of higher mathematics and computer science to non-specialists in an understandable way - X1A_K05, X1A_U08
K_K06 - can independently find information in literature, also in foreign languages - X1A_K01
K_K07 - can formulate opinions on the basic mathematical and computer science issues - X1A_K06