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Course detail
FP-pzmPAcad. year: 2023/2024
The content of this practical is basic mathematical structures. The course gives students the opportunity to supplement their knowledge of mathematics to the level required in the subjects Mathematics I and Mathematics II.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Curriculum of high school mathematics
Rules for evaluation and completion of the course
Requirements for credit: Passing control tests and achieving at least 55% points or passing a comprehensive written work and achieving at least 55% points.
Participation is controlled.
Completion of the course for students with individual study: Passing the comprehensive control test and achieving at least 55% points
Aims
The aim of the course is to enable students to supplement their knowledge of secondary school mathematics to the level required for studying the compulsory subjects Mathematics I and Mathematics II. The graduate of the subject will be able to use the basic tools necessary for quantitative analysis in professional subjects. Furthermore, the student will reliably handle routine operations and calculations, understand basic mathematical concepts and be competent to apply the necessary procedures to solve practical problems in real situations.
Study aids
BUŠEK, Ivan, 2022. Řešené maturitní úlohy z matematiky. 2. vydání. Praha: Prometheus. ISBN 978-80-7196-140-6
HOY, Michael, 2011. Mathematics for economics. 3. vydání. Cambridge, Mass.: MIT Press. ISBN 978-02-6251-622-8
POLÁK, Josef, 2016. Přehled středoškolské matematiky. 10. vydání. Praha: Prometheus. ISBN 978-80-7196-458-2
Prerequisites and corequisites
Basic literature
Recommended literature
Elearning
Classification of course in study plans
Exercise
Teacher / Lecturer
Syllabus
1. Number fields, rearrangement of algebraic expressions
2. Quadratic equations
3. Systems of equations
4. Equations and inequalities (with absolute value)
5. Equations and inequalities (with square root, with parameters)
6. Functions, basic terms, overview of elementary functions
7. Properties of functions
8. Power function
9. Exponential function
10. Logarithmic functions
11. Trigonometric functions
12. Graphs of functions
13. Repetition