Course detail
Mathematical Seminar
FEKT-BPC-MASAcad. year: 2025/2026
Foundations of mathematics, equations, inequalities, vectors, elementary functions, complex numbers, sequences.
Language of instruction
Czech
Number of ECTS credits
2
Mode of study
Not applicable.
Guarantor
Department
Entry knowledge
Students should have at least superficial knowledge of work with expressions and elementary functions within the scope of standard secondary school requirements.
Rules for evaluation and completion of the course
Aims
The goal of the course is to supplement secondary school knowledge of mathematics necessary for further studies.
Study aids
Not applicable.
Prerequisites and corequisites
- recommended co-requisite
Mathematics 1 - recommended co-requisite
Mathematics 1 - recommended co-requisite
Mathematics 1
Basic literature
Kolářová E.: Matematický seminář, VUT, 2014. (CS)
Recommended reading
Lhotský, K.: Sbírka úloh z matematiky, Karolinum, ISBN 978-80-246-5192-7, 2022. (CS)
Classification of course in study plans
- Programme BPC-NCP Bachelor's 1 year of study, winter semester, compulsory-optional
- Programme BPC-EMU Bachelor's 1 year of study, winter semester, compulsory-optional
- Programme BPC-AMT Bachelor's 1 year of study, winter semester, compulsory-optional
- Programme BPC-AUD Bachelor's
specialization AUDB-ZVUK , 1 year of study, winter semester, elective
specialization AUDB-TECH , 1 year of study, winter semester, elective - Programme BPC-BTB Bachelor's 0 year of study, winter semester, elective
- Programme BPC-ECT Bachelor's 1 year of study, winter semester, elective
- Programme BPC-IBE Bachelor's 1 year of study, winter semester, elective
- Programme BPC-MET Bachelor's 1 year of study, winter semester, compulsory-optional
- Programme BPC-SEE Bachelor's 1 year of study, winter semester, compulsory-optional
- Programme BPC-TLI Bachelor's 1 year of study, winter semester, elective
- Programme SPC-STC Bachelor's 1 year of study, winter semester, elective
Type of course unit
Fundamentals seminar
14 hod., compulsory
Teacher / Lecturer
Syllabus
1. Základní matematické pojmy,
2. Úpravy algebraických výrazů I.
3. Úpravy algebraických výrazů II.
4. Lineární a kvadratické rovnice, nerovnice.
5. Rovnice, nerovnice s absolutní hodnotou.
6. Funkce - základní pojmy.
7. Racionálně lomené funkce.
8. Exponenciální a logaritmické funkce.
9. Goniometrické funkce.
10. Analytická geometrie.
11. Komplexní čísla.
12. Aritmetické a geometrické posloupnosti.
2. Úpravy algebraických výrazů I.
3. Úpravy algebraických výrazů II.
4. Lineární a kvadratické rovnice, nerovnice.
5. Rovnice, nerovnice s absolutní hodnotou.
6. Funkce - základní pojmy.
7. Racionálně lomené funkce.
8. Exponenciální a logaritmické funkce.
9. Goniometrické funkce.
10. Analytická geometrie.
11. Komplexní čísla.
12. Aritmetické a geometrické posloupnosti.
Computer-assisted exercise
12 hod., compulsory
Teacher / Lecturer
Syllabus
1. Foundations of mathematics.
2. Vectors, lines, planes (analytical geometry).
3. Manipulation with algebraic expressions.
4. Linear equations, inequalities, systems.
5. Partial fraction decomposition.
6. Elementary functions 1.
7. Elementary functions 2.
8. Limits, asymptotes.
9. Derivatives, limits, tangent lines.
10. Complex numbers 1.
11. Complex numbers 2.
12. Arithmetic and geometric sequence, geometric series.
13. Recapitulation.
2. Vectors, lines, planes (analytical geometry).
3. Manipulation with algebraic expressions.
4. Linear equations, inequalities, systems.
5. Partial fraction decomposition.
6. Elementary functions 1.
7. Elementary functions 2.
8. Limits, asymptotes.
9. Derivatives, limits, tangent lines.
10. Complex numbers 1.
11. Complex numbers 2.
12. Arithmetic and geometric sequence, geometric series.
13. Recapitulation.
E-learning texts