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FP-pmzPAcad. year: 2023/2024
The content of this practice corresponds to the subject Mathematics 1 and gives students the opportunity to become more familiar with the practical solution of specific tasks, practice more difficult parts and overcome difficulties in mastering the subject matter.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
Credit requirements: Passing control tests and achieving at least 50% points or passing a comprehensive written work and achieving at least 50% points. Attendance at practice is controlled.
Students with ISP: Passing control tests and achieving at least 50% marks or passing a comprehensive written work and achieving at least 50% marks.
Aims
Study aids
Viz. literature
Prerequisites and corequisites
Basic literature
Recommended reading
Elearning
Classification of course in study plans
Exercise
Teacher / Lecturer
Syllabus
1. Basic mathematical concepts I 2. 2. Basic mathematical concepts II 3. Basic mathematical concepts III 4. Matrices (properties, matrix operations, rank calculation and inverse matrices) 5. Determinants (properties, rules and calculation of determinants) 6. Systems of linear equations (solvability, GEM and Cramer's rule) 7. Functions of one variable (basic characteristics of functions, properties, rational operations with functions, compound, simple, inverse functions, constructions and displacements of graphs) 8. Repetition (linear algebra, basic properties of functions) 9. Polynomials (roots of a polynomial and their determination, Horner's scheme) 10. Sequences (bounded and monotonic sequences of real numbers, sequence limit) 11. Limit and continuity of a function (limit at a proper point, basic properties and rules for calculation, continuity at a point and on an interval) 12. Limit at a non-proprietary point (basic properties and rules for calculation) 13. Derivation of the 1st order (meaning, basic properties and rules, derivation of elementary functions)