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Course: Mathematics 2

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Course title Mathematics 2
Course code KID/PM2DK
Organizational form of instruction Lecture
Level of course Bachelor
Year of study 1
Semester Summer
Number of ECTS credits 7
Language of instruction Czech
Status of course Compulsory
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.
Course content
Infinite series (numerical and function series, criteria of convergence). Function of two and more real variables (domain of definition, graph, limit, coherence). Differential calculus of a function of more real variables (partial derivation, linearisation, Taylor's theorem, tangent plane to a graph of a function, 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 real variables (improper and proper integral, integration methods, substitution in both improper and proper integral, application of double and triple integral).

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
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 variables 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 concrete exercises in the follow-up courses.
Prerequisites
unspecified

Assessment methods and criteria
Written examination

To write the exam test al least to 50%. This test cotents 10 exercises for 90 minutes. Classification:50 - 59 3, 60 - 69 2m, 70 - 79 2, 80 - 89 1m, 90 - 100 1.
Recommended literature
  • Jehlička, Vladimír. Matematika 2 : multimediální studijní opora : (videozáznamy přednášek). Pardubice: Univerzita Pardubice, 2013. ISBN 978-80-7395-576-2.
  • Kolda, S. - Prachař, O. Cvičebnice z matematiky II.
  • Kolda, S.- Machačová, L. Matematika II.
  • Machačová Ludmila. Matematika. Úvod do diferenciálního a integrálního počtu.. Pardubice, 2005.


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): 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 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 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 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): 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 (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 (2013) 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 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 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): 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): 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): 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): 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 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 Technology and Control: Logistics Technologies (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 (2016) 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 (2016) 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 (2014) Category: Informatics courses 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): 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 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 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): 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): 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 (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 (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.