Knowledge
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Knowledge and understanding the construction of selected mathematical theories, ability to apply mathematical formalism to construct and analyse simple mathematical models to be applied in other sciences.
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Knowledge and understanding of selected concepts and methods in mathematical logic and the theory of muliplicity that are applied in the foundations of other disciplines of mathematics.
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Knowledge and understanding of the differential and integral calculus of functions with one or more variables, and of the other branches of mathematics applied in it, with Special consideration of linear algebra and topology.
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Knowledge and understanding of the foundations of computational and programming techniques. Basic knowledge and understanding of af least one utilily software package.
Skills
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Ability to design and analyse a simple algorithm.
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Ability to present mathematical reasoning and formulate theorems and definitions correctly and clearly, both in speech and writing.
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Ability to apply classical logic and set theory to formalise mathematical theories.
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Ability to use the concepts of convergence and limits m various contexts; ability to calculate the Iimits f sequences and functions.
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Ability to interpret and explain functional dependencies in the form of formulas, tables, graphs and to apply them in practical issues.
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Ability to recognize (sub) group, (sub) ring, (sub) field, homomorphism; knowledge and understanding of their basic properties and operations on them and ability to apply them.
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Ability o apply selected tools and numerical methods fo solve selected problems in differential and integral calculus.
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Ability to apply the Tools and methods of linear algebra (vector space, basis, linear mapping. matrix, determinant).
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Ability to use computer software for data analysis.
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Ability to apply the basic properties of probability.
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Ability to apply basic probabiliy distributions in practical issues.
Social Competencies
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Readiness for precise formulation of statements and questions aimed at deepening her own understanding of a given topic or retrieving missing components of reasoning.
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Readiness for teamwork, appreciation of the need for systematic work on projects.
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Readiness for appreciation of intellectual integrity in her own and other people's work.
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Readiness for presenting selected achievements in higher mathematics to the non-specialist general public.
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Readiness for conducting an independent search for information in the literature, including foreign- language publications.
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Readiness for a critical attitude with respect to theorems, observations, and conclusions, particularly those not based on logical grounds.
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Readiness for critical analysis of information, including statistical and financial data, and for decision- making on the basis of an appropriate analysis of the data available.
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Readiness for formulating oebjective opinions on issues that are described in the language of mathematics.