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Course: Mathematical Seminar II

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Course title Mathematical Seminar II
Course code KID/DMS2P
Organizational form of instruction Tutorial
Level of course Bachelor
Year of study 1
Semester Summer
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)
  • Kulička Jiří, Mgr. Ph.D.
  • Jahodová Berková Andrea, Mgr. Ph.D.
Course content
Infinite series (numerical and function series, criteria of convergence). Functions of two and more real variables (domain of definition, graph, limits, coherence). Differential calculus of a function of more real variables (partial derivation, tangent plane to a graph of that function, tangent plane linearisation, Taylor's theorem, local and constrained extremes of a function). Differential equations (separation of variables, variation of a constant, exact differential equation, simple differential equation of higher-order). Integral calculus of a function of more than one real variable (improper and proper integral, integration methods, substitution in both types of integral, applications of double and triple integral).

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Skills training
Learning outcomes
The aim of the course is to master dealing with numerical series, essentials of differential and integral calculus of a function with more than one real variable and solving some selected types of the differential equations.
Students will be able to solve practical mathematical exercises in all lectured topics and apply mathematical methods in dealing with special problems in the follow-up courses.
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
  • Cabrnochová, R., Prachař, O. Průvodce předmětem matematika. Univerzita Pardubice, 2003.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Structures (2013) Category: Construction industry, geodesy and cartography 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Electrical Engineering and Electronic Systems in Transport (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Environmental Protection in Transport (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Management of Electronic Communications and Postal Services (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Management, Marketing and Logistics (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Technology and Control: Technology and Control of Transport Systems (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Management, Marketing and Logistics in Communications (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
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: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Environmental Protection in Transport (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Technology and Control: Technology and Control of Transport Systems (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Structures (2016) Category: Construction industry, geodesy and cartography 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Applied Informatics in Transport (2014) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Applied Informatics in Transport (2013) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Management of Electronic Communications and Postal Services (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
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: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Technology and Control: Logistics Technologies (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Applied Informatics in Transport (2016) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
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: Summer
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: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Road Vehicles (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Technology and Control: Logistics Technologies (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Structures (2014) Category: Construction industry, geodesy and cartography 1 Recommended year of study:1, Recommended semester: Summer
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: Summer
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: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Management, Marketing and Logistics (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Road Vehicles (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Rail Vehicles (2014) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Rail Vehicles (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Transport Engineering Study plan (Version): Electrical Engineering and Electronic Systems in Transport (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Summer
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: Summer
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: Summer
University of Pardubice, date of update: 28.05.2024 23:50.