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Mathematics
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Summary of the Profile
Objective(s) of a study programme:
Study programme of Mathematics is designed to prepare highly qualified creatively thinking mathematics, who are able to understand and use mathematics in professional activity of an analyst, specialist of modelling and data analysis, to apply wide theoretical mathematical knowledge based on the results of fundamental and applied research; able to gather, analyse and organize data needed for solving problems in professional activity or innovation implementation, to obtain mathematically reliable findings, to convey subject information for specialists and large public, to manage modern information technologies, having skills of independent work and acquired need for lifelong learning, to work constantly on improving their professional qualification, to assume responsibility for the quality of their work and its outcomes.
Learning outcomes:
Graduate of the programme will be capable of:
1. Choosing and applying classical methods and laws of the main fields of mathematics (mathematic analysis, algebra, geometry, differential equations, function theory, probability theory and statistics) in solving theoretical as well as real tasks and problems,
2. working with applied mathematic software, manage contemporary information technologies,
3. Analysing, modelling and foreseeing real phenomena, processes and situations, applying known research algorithms and methods, conveying logically and intelligibly the formulation and results of a certain task,
4. Gathering, analysing various statistical data of economics, ecology, medicine, agriculture, etc. and processing it using proper mathematical methods, provide reasoned interpretation of results and justify the conclusions,
5. Operating in abstract concepts, demonstrating understanding of mathematical statements and their justification as well as ability to justify new ones by constantly improving logical and analytic thinking, will be able to see possibilities for applying new propositions with reference to known statements.
6. Assessing several ways of solving the same mathematical problem and choosing the optimal one,
7. Clearly, intelligibly and reasonably presenting subject material, identifying practical problems which require mathematical solutions and suggesting ways of solution for specialists as well as large public, conveying knowledge to other learners.
Activities of teaching and learning:
Lectures, practical training, laboratory works, individual practical tasks, literature analysis, case analysis, etc. The programme aims at active participation of students in the process of studies: during the lectures the environment favourable for discussions is promoted, group work is encouraged as well as a dialogue between lecturer and student. Student-oriented student’s independent work is based on tasks, analysis of scientific literature and team work in which problem and critical thinking is very important. Students prepare independently for laboratory works and their defence as well as exams, write a final thesis and conduct practical training.
Methods of assessment of learning achievements:
The system of ten-grade criteria scale and cumulative assessment are applied to assess knowledge and abilities. Learning achievements of study programme and subject studies during the semester are evaluated through the interim assignments (writing tests, defending laboratory works, delivering presentations on group and individual works completed using applied mathematical software, delivering report on practical training, applying self and peer evaluation). Task of independent work during the semester are evaluation by a mark, during the exam session the final mark is estimated by multiplying separate marks by lever coefficient and summing those products.
Framework:
Study subjects (modules), practical training:
The volume of the subjects of major study field is 165 credits (including practical training). The students study the following subjects of major study field: Algebra, Mathematical Analysis, Geometry, Differential Equations, Theory of Functions of a Complex Variable, Functional Analysis, Probability Theory, Mathematical Statistics, Computer Statistics, Financial Mathematics, Numerical Methods, Mathematical Modelling, Basics of Programming, Mathematics Software, Database Management Systems, Internet Technologies and other subjects.
The programme includes practical training duration of which is 3 months (18 credits).
Specialisations:
None
Optional courses:
The elective subjects are allowed 60 credits. The students can deepen their knowledge in the study field, by choosing the specialized subjects of study field; they can choose minor studies of informatics or economics field; they can choose the subjects of general university studies of broader volume which are determined by the University, electives or subjects of pedagogical studies to acquire teacher’s qualification.
Distinctive features of a study programme:
There is a possibility to acquire double degree: Bachelor of mathematics and informatics or Bachelor of mathematics and economics.