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Applied Mathematics
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Summary of the Profile
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.
Description of the study programme: https://admissions.ktu.edu/programme/b-applied-mathematics/
Learning outcomes:
Knowledge and its application:
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.
Have ability to formulate real-world problems in mathematical language and to choose appropriate mathematical methods for their solution.
Have ability to manage mathematical symbols and the formalities: understand the mathematical language, mathematical symbols roles, read a mathematical text.
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.
Have abilities to use databases, to develop algorithms and computer programmes for real-world problems’ mathematical models implementation and analysis.
Have ability to retrieve, to analyse and to process digital images and signals, apply qualitative and quantitative risk analysis methods, to interpret analysis results and to comprehend social consequences of taken decisions.
Have ability to analyze financial systems, assess their risk, use software to study mathematical models.
Research skills:
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.
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.
Consistently explain numerical methods, theoretical foundations of algorithms and programming paradigms and their application to mathematical systems models developement and analysis.
Consistently explain the possibilities of mathematics software and has the ability to apply it in professional activities.
Consistently explain the main digital image and signal analysis methods and processing techniques, risk and information uncertainty.
Consistently explain the modern cryptographic methods and techniques needed for the security of data and areas of their practical applicability.
Consistently explain the methods of insurance, finance and investment mathematics and their applications in business.
Consistently explain the main principles governing development and analysis of mathematical models for business systems, their application to the solution of real problems.
Special abilities:
Have ability to find and analyse literature, to collect data from the named sources, process and analyse the information received using various information technologies.
Have ability to apply mathematical methods to the analysis of relationships between various parameters of objects under investigation.
Have ability to choose appropriate data analysis methods, use mathematical software, interpret analysis results, summarise and substantiate conclusions.
Have ability to analyse real world objects (phenomena, situations, processes) at a mathematical modelling context, characterize them quantifiably and qualitatively.
Have ability to plan and carry out research from the identification, formulation of the problem and ending with evaluating of result and publicity.
Have ability to choose and apply relevant mathematical models and algorithms to the solution of practical problems.
Have ability to construct and substantiate mathematical models for real world objects, analyse critically, compare and estimate modelling results.
Developed social and personal abilities:
Have ability to convey orally and in written ideas, knowledge at choice and their own experience to other learners and specialists.
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.
Have ability to work in an interdisciplinary team, generate new ideas and accumulate information.
Have ability to estimate information critically, their own activity results, professional innovation, take active part in discussions, improve practice.
Have ability to take responsibility for the quality and evaluation of their activity in accordance with principles of professional ethics and citizenship.
Have ability to plan their career, time and resources.
Have ability to assess the impact of their activities and results on social, economic, cultural development and environment.
Activities of teaching and learning:
The studies include classroom work (lectures, practical work, laboratory work, seminars, outgoing visits to enterprises, etc.) and individual work for mastering theoretical material, preparation for classroom work, intermediate and final assessments and performing other activities. The studies of each study module are completed by the assessment of the student’s knowledge and skills – an examination or another final assessment; the study programme is completed by the final degree project and its defence.
Methods of assessment of learning achievements:
The applied cumulative assessment system of the learning outcomes ensures constant and involving work of students during the entire semester of studies; the final evaluation of the study module consists of the sum of the grades of intermediate assessments and the final assessment multiplied by the weighting coefficients (percentages of components).
Study subjects (modules):
Discrete Mathematics, Geometry, Introduction to Mathematics Studies, Mathematical Analysis 1, Linear Algebra, Mathematical Analysis 2, Algebraic Structures, Differential Equations, Mathematical Analysis 3, Theory of Probability, Classical Physics, Databases, Mathematical Statistics, Mathematics Software, Optimization Methods, Data Analysis, Machine Learning Methods, Numerical Methods, Physics 2, Graph Theory and Network Science, Product Development Project, Mathematical Models of Systems, Stochastic Processes, Bachelor’s Degree Final Project, Professional Internship.
Specialisations: Investment Mathematics, Mathematical Methods for Processing of Digital Images, Blockchains and Cryptography, Cryptology, Discrete Transforms, Methodology of Risk Analysis in Business, Risk and Uncertainty Analysis, Business Intelligence and Data Mining, Data Security, Financial Risk Management, Insurance Mathematics, Neural Network Methods.
Electives of Philosophy and Sustainable Development: Media Philosophy, Sustainable Development;
Electives: Business Intelligence and Data Mining, Risk and Uncertainty Analysis, Neural Network Methods, Introduction to Object-Oriented Programming, Information Technologies 1, Fundamentals of Object-Oriented Programming 2, Fundamentals of Object Programming, Fundamentals of Finance, Engineering Economics, Discrete Transforms, Data Security;
Foreign Language Electives (Level C1): Academic and Technical Communication in English (Level C1), Academic and Technical Communication in German (Level C1), Academic and Technical Communication in French (Level C1).
Study programme abstract:
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:
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:
S/he has access to the second cycle studies.
