Course: Mathematics II

« Back
Course title Mathematics II
Course code KID/PM2DP
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
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. PhD.
  • 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) Branch of study Category Recommended year of study Recommended semester
Faculty of Transport Engineering Transport Structures (2013) Construction industry, geodesy and cartography 1 Summer
Faculty of Transport Engineering Electrical Engineering and Electronic Systems in Transport (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Means: Environmental Protection in Transport (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Management of Electronic Communications and Postal Services (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Management, Marketing and Logistics (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Technology and Control: Technology and Control of Transport Systems (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Management, Marketing and Logistics in Communications (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Technology and Control: Technology and Control of Transport Systems (2016) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Means: Environmental Protection in Transport (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Technology and Control: Technology and Control of Transport Systems (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Structures (2016) Construction industry, geodesy and cartography 1 Summer
Faculty of Transport Engineering Applied Informatics in Transport (2014) Informatics courses 1 Summer
Faculty of Transport Engineering Applied Informatics in Transport (2013) Informatics courses 1 Summer
Faculty of Transport Engineering Management of Electronic Communications and Postal Services (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Management, Marketing and Logistics (2016) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Technology and Control: Logistics Technologies (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Applied Informatics in Transport (2016) Informatics courses 1 Summer
Faculty of Transport Engineering Transport Means: Road Vehicles (2016) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Means: Environmental Protection in Transport (2016) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Means: Road Vehicles (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Technology and Control: Logistics Technologies (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Structures (2014) Construction industry, geodesy and cartography 1 Summer
Faculty of Transport Engineering Transport Means: Rail Vehicles (2016) Transportation and communications 1 Summer
Faculty of Transport Engineering Electrical Engineering and Electronic Systems in Transport (2016) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Management, Marketing and Logistics (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Means: Road Vehicles (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Means: Rail Vehicles (2014) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Means: Rail Vehicles (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Electrical Engineering and Electronic Systems in Transport (2013) Transportation and communications 1 Summer
Faculty of Transport Engineering Management, Marketing and Logistics in Communications (2016) Transportation and communications 1 Summer
Faculty of Transport Engineering Transport Technology and Control: Logistics Technologies (2016) Transportation and communications 1 Summer