University of Pardubice
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for academic year 2016/2017
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Course: Mathematics II

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Course title Mathematics II
Course code KID/PM2DP
Organizational form of instruction Lecture + Tutorial
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)
  • Lenoch Václav, Ing. Ph.D.
  • Jahodová Berková Andrea, Mgr. Ph.D.
  • Jehlička Vladimír, doc. Ing. CSc.
  • Brázdová Markéta, Ing. Ph.D.
  • Prouza Ludvík, RNDr. CSc.
  • Půlpán Zdeněk, prof. PhDr. RNDr. CSc.
  • Kulička Jiří, Mgr. Ph.D.
Course content
Linear algebra and analytical geometry (vectors, matrices, determinants, linear systems in a space). Function of two and more variables (domain of definition, graph, limit, coherence). Differential calculus of a function with more variables (partial derivation, differentials, 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, differential equation of higher-order). Integral calculus of a function with more variables (improper and proper integral, integration methods, substitution in an integral, application of double and triple integral). in an 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), Methods of individual activities
  • unspecified - 78 hours per semester
  • unspecified - 25 hours per semester
  • unspecified - 70 hours per semester
  • unspecified - 39 hours per semester
Learning outcomes
The aim of the course is to master working with linear algebra and analytical geometry, essentials of differential and integral calculus of a function with more variables and solving selected differential equations.
Students will be able to solve concrete mathematical exercises in all lectured topics and apply mathematical methods in solving concrete exercises in the follow-up courses.
Prerequisites
Knowledge in Mathematics I.

Assessment methods and criteria
Oral examination, Written examination

The assignment is granted upon completion of the following conditions: passing at least one of two written tests. The examination is written. Student may improve the final grade with an oral examination.
Recommended literature
  • Cabrnochová,R. - Prachař,O. Průvodce předmětem MATEMATIKA I. ( třetí. část )- Úlohy z lineární algebry, analytické geometrie a z nekonečných řad.. Pardubice, 2008.
  • Jehlička, Vladimír. Matematika 2 : multimediální studijní opora : (videozáznamy přednášek). Pardubice: Univerzita Pardubice, 2013. ISBN 978-80-7395-576-2.
  • Kolda S., Machačová L. Matematika II.. Pardubice, 2007.
  • Kolda,S.-Machačová ,L.-Prachař,O. Cvičebnice z Matematiky II.. Pardubice, 2007.
  • Prachař O. - Jelínková J. Průvodce předmětem MATEMATIKA II (pátá část) - Úlohy z obyčejných diferenciálních rovnic.. Pardubice, 2008.
  • Prachař, Otakar. Průvodce předmětem matematika II.. Pardubice: Univerzita Pardubice, 2003. ISBN 80-7194-557-9.
  • Prachař, Otakar. Průvodce předmětem matematika II.. Pardubice: Univerzita Pardubice, 2004. ISBN 80-7194-655-9.


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: 29.06.2024 23:50. Data created for academic year 2016/2017