| Course title | Mathematical Seminar I |
|---|---|
| Course code | KID/DMS1K |
| Organizational form of instruction | Tutorial |
| Level of course | Bachelor |
| Year of study | 1 |
| Semester | Winter |
| Number of ECTS credits | 1 |
| Language of instruction | Czech |
| Status of course | Optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
|
Essentials of propositional and predicate calculus (proposition, propositional form, logic operators, quantifiers). Sets (Numerical sets, set operations). Essentials of mathematical analysis (mapping, sequence, limit of the sequence, function, limit of functions, rational functions, factorization into partial fractions). Differential calculus of a function of one real variable (derivation of a function, tangent linearisation, Taylor's theorem, course of a function). Integral calculus of a function of one real variable (improper and proper integral, integration methods, some special substitutions, infinite integral). Linear algebra and analytical geometry (vectors, matrices, determinants, systems of linear eqations, linear objects in a space).
|
| Learning activities and teaching methods |
| Monologic (reading, lecture, briefing), Skills training |
| Learning outcomes |
|
The aim of the course is to master basic skills of mathematical analysis, differential and integral calculus of a function of one real variable, linear algebra and analytical geometry.
Students will be able to solve mathematical exercises in all lectured topics. |
| Prerequisites |
|
unspecified
|
| Assessment methods and criteria |
|
Written examination
Giving a credit confirms that a student has attended the lessons to the extent required and fulfilled all the qualified requirements. Conditions for obtaining a credit will be provided by the lecturer. |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Transport Engineering | Study plan (Version): Transport Means: Road Vehicles (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Transport Means: Rail Vehicles (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Electrical Engineering and Electronic Systems in Transport (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Transport Management, Marketing and Logistics (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Transport Means: Environmental Protection in Transport (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Management, Marketing and Logistics in Communications (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Transport Technology and Control: Logistics Technologies (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Applied Informatics in Transport (2016) | Category: Informatics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
| Faculty: Faculty of Transport Engineering | Study plan (Version): Transport Technology and Control: Technology and Control of Transport Systems (2016) | Category: Transportation and communications | 1 | Recommended year of study:1, Recommended semester: Winter |