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Applied Mathematics
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Summary of the Profile
General Description:
Objective(s) of a study programme:
To provide the knowledge of mathematics, informatics, engineering and economics and to develop skills required for solving technical, business systems analysis, synthesis, forecasting and optimal management tasks, creating mathematical models of these systems and applying them in various conditions, integrating skills with business fundamentals and knowledge of the social sciences.
Learning outcomes:
Specific Skills:
A1 Have ability to think logically and analytically, to understand mathematical statements and proofs, to construct new claims related to the well-known arguments, proofs, to work at a various abstraction levels and to communicate in mathematical language.
A2 Have ability to formulate real-world problems in mathematical language and to choose appropriate mathematical methods for their solution.
A3 Have ability to manage mathematical symbols and the formalities: understand the mathematical language, mathematical symbols roles, read a mathematical text.
A4 Have ability to evaluate capabilities of optimization methods, put them into practice, interpret optimization results, estimate errors, and make optimal decisions and well-founded conclusions.
A5 Have abilities to use databases, to develop algorithms and computer programmes for real-world problems’ mathematical models implementation and analysis.
A6 Have ability to retrieve, to analyse and to process digital images and signals, to interpret analysis results and to comprehend social consequences of taken decisions.
A7 Have ability to analyze financial systems, assess their risk, use software to study mathematical models.
Knowledge and its Application:
B1 Consistently explain the basic concepts, definitions and proofs from major areas of mathematics (algebra, mathematical analysis, geometry, differential equations, probability theory and statistics and ability to apply them to the solution of theoretical and real problems.
B2 Consistently explain the mathematical methods used to create mathematical models of systems, the principles of mathematical modeling and the possibilities of their application and has the ability to apply them in interdisciplinary fields of study and professional activities.
B3 Consistently explain numerical methods, theoretical foundations of algorithms and programming paradigms and their application to mathematical systems models developement and analysis.
B4 Consistently explain the possibilities of mathematics software and has the ability to apply it in professional activities.
B5 Consistently explain the main digital image and signal analysis methods and processing techniques.
B6 Consistently explain the modern cryptographic methods and techniques needed for the security of data and areas of their practical applicability.
B7 Consistently explain the methods of insurance, finance and investment mathematics and their applications in business.
B8 Consistently explain the main principles governing development and analysis of mathematical models for business systems, their application to the solution of real problems.
Research Skills:
C1 Have ability to find and analyse literature, to collect data from the named sources, process and analyse the information received using various information technologies.
C2 Have ability to apply mathematical methods to the analysis of relationships between various parameters of objects under investigation.
C3 Have ability to choose appropriate data analysis methods, use mathematical software, interpret analysis results, summarise and substantiate conclusions.
C4 Have ability to analyse real world objects (phenomena, situations, processes) at a mathematical modelling context, characterize them quantifiably and qualitatively.
C5 Have ability to plan and carry out research from the identification, formulation of the problem and ending with evaluating of result and publicity.
C6 Have ability to choose and apply relevant mathematical models and algorithms to the solution of practical problems.
C7 Have ability to construct and substantiate mathematical models for real world objects, analyse critically, compare and estimate modelling results.
Developed social and personal skills:
D1 Have ability to convey orally and in written ideas, knowledge at choice and their own experience to other learners and specialists.
D2 Have ability to study individually, make progress in the selected fields of applied mathematics and plan the study process and to perceive of the importance of lifelong learning.
D3 Have ability to work in an interdisciplinary team, generate new ideas and accumulate information.
D4 Have ability to estimate information critically, their own activity results, professional innovation, take active part in discussions, improve practice.
D5 Have ability to take responsibility for the quality and evaluation of their activity in accordance with principles of professional ethics and citizenship.
D6 Have ability to plan their career, time and resources.
D7 Have ability to assess the impact of their activities and results on social, economic, cultural development and environment.
Activities of teaching and learning:
The knowledge of all learning courses is gained during classroom and individual work. Classroom work consists of lectures, practice, lab works and seminars. Student’s individual work is the assimilation of theoretical material, preparation for lectures, practice and lab works, interim and final exams, accomplishment of homework and projects as well as other activities. The study program concludes with final practice and bachelor final project.
Methods of assessment of learning achievements:
During the semester student’s knowledge, skills and abilities obtained while studying the module are graded in ten-point scale for performed semester activities. Final grade consists of cumulative scores of semester activities and exam during the session.
It can be applied to a variety of student achievements assessment methods: Written Examination, Written and Oral Examination, Test, Laboratory Notes and Report and Laboratory Examination, Modeling works, Assignments, Individual or group Project Report, Oral and Poster Session, Work Placement Report and examination, Control Work, Essay, Literature Analysis, Final paper, Examination.
Framework:
Study subjects (modules), practical training:
General Subjects of University Studies (12 ECTS): Electives of Philosophy and Sustainable Development; Foreign Language Electives (Level C1).
Core and Compulsory Subjects (162 ECTS): Discrete Mathematics, Mathematical Analysis 1, Geometry, Introduction to Mathematics Studies, Information Technologies 1, Mathematical Analysis 2, Linear Algebra, Fundamentals of Object Programming, Engineering Economics, Mathematical Analysis 3, Algebraic Structures, Differential Equations, Theory of Probability, Mathematical Statistics, Optimization Methods, Mathematics Software, Databases, Classical Physics, Data Analysis, Machine Learning Methods, Numerical Methods, Physics 2, Product Development Project, Graph Theory and Network Science, Mathematical Models of Systems, Stochastic Processes.
Professional Internship (15 ECTS), Bachelor‘s Degree Final Project (15 ECTS).
Specialisations:
Specialisation’s “Data Analysis and Security” modules: Mathematical Methods for Processing of Digital Images, Cryptology, Risk and Uncertainty Analysis, Data Security, Electives 1 (Business Intelligence and Data Mining or Discrete Transforms).
Specialisation’s “Mathematical Methods for Financial Technologies” modules: Investment Mathematics, Methodology of Risk Analysis in Business, Blockchains and Cryptography, Financial Risk Management, Insurance Mathematics.
Optional courses:
Students can choose courses for 30 credits of major study field specialization or Competence of BA+ in 5–7 semesters. Optional subjects (6 ECTS).
Distinctive features of a study programme:
A graduate has knowledge and skills of mathematics, computer science, engineering and economics, required for optimisation, synthesis, forecasting, and optimal control of technical and business systems, and competence and abilities to develop and apply mathematical models for these systems. The graduate is able to choose proper mathematical methods and apply optimal algorithms when solving real problems, and can interpret the achieved results of the research of mathematical models.
Access to professional activity or further study:
Access to professional activity:
The graduate can work as a system analyst, simulation/data analyst, market researcher, computer programmer-analyst, actuary in banks, universities, insurance, industrial, logistics, trade and other enterprises.
Access to further study:
Postgraduate (Master) studies in mathematics, physical sciences, economics, etc.
