Course detail
Mathematical Seminar
FEKT-BPC-MASAcad. year: 2025/2026
Foundations of mathematics, equations, inequalities, vectors, elementary functions, limits, derivatives, complex numbers, sequences, series.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
• Completing a quiz in the eLearning part of the course. The eLearning contains 42 quizzes, each for 10 points, hence it is possible to collect maximum 420 points for quizzes in total.
• Written test. There are 2 written test during the course, each for 10 points, hence it is possible to collect maximum 20 points for written tests in total.
For the course-unit credit it is necessary to meet the following conditions:
i. collect at least 378 points (rounded down) of the maximum 420 points for completed quizzes in the eLearning part of the course,
ii. collect at least 8 points (rounded down) of the maximum 20 points for written tests,
iii. submit 2 home preparations in the form and within the deadlines announced by the lecturer responsible for the course at the beginning of a semester in the eLearning part of the course,
iv. within given deadlines, submit 1-3 short evaluations (about 3 sentences) of the home preparations submitted by peers, assigned to students the day after the deadline of the home preparation submission according to part iii.
Participation in the controlled teaching activities is compulsory. Procedures of excusing oneself from the controlled teaching activity and substituting the missed controlled teaching activity are defined in the Study Regulations of the Faculty.
Aims
After completing the course, students should be able to:
- transform and simplify expressions;
- solve basic equations and inequalities;
- find the domain and the range of a function;
- differentiate using basic formulas;
- perform calculations with complex numbers;
- work with arithmetic and geometric sequences and infinite series.
Study aids
Prerequisites and corequisites
- compulsory co-requisite
Mathematics 1
Basic literature
Recommended reading
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
Teacher / Lecturer
Syllabus
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.
Computer-assisted exercise
Teacher / Lecturer
Syllabus
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