Course: Mathematics I

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Course title Mathematics I
Course code KID/PM1DP
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 6
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)
  • Kaltounová Vladislava, Ing.
  • Míča Ondřej, Ing.
  • Půlpán Zdeněk, prof. PhDr. RNDr. CSc.
  • Jahodová Berková Andrea, Mgr. PhD.
  • Jehlička Vladimír, doc. Ing. CSc.
  • Brázdová Markéta, Ing. Ph.D.
  • Kulička Jiří, Mgr. Ph.D.
  • Vízner Filip, Ing. Ph.D.
Course content
Introduction to Mathematics I. 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 sequence, function, limit of functions, fractional rational function, factorization into partial fractions). Differential calculus of a function with one variable (derivation of a function, differentials, Taylor's theorem, course of a function). Integral calculus of a function with one variable (improper and proper integral, integration method, special substitution, infinite integral). Infinite series (numerical and function series, criteria of convergence).

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 - 91 hours per semester
  • unspecified - 26 hours per semester
  • unspecified - 15 hours per semester
  • unspecified - 60 hours per semester
Learning outcomes
To acquaint students with the basics of mathematical analysis, especially with the differential and integral calculus of one real variable and counting with endless numerical and functional series.
Students will be able to solve mathematical exercises in all lectured topics and apply mathematical methods in solving concrete exercises in the follow-up courses.
Prerequisites
General knowledge in secondary education in mathematics.

Assessment methods and criteria
Oral examination, Written examination

Credit is awarded upon successful processing of at least one of the three written tests. The examination is written. Student may improve the final grade with an oral examination.
Recommended literature
  • Janeček, F. a kol. Příklady a úlohy ze středoškolské matematiky k přípravě na přijímací zkoušky na VŠ. Pardubice, 2008. ISBN 978-80-7395-074-3.
  • Jehlička, Vladimír. Matematika I : multimediální studijní opora (videozáznamy přednášek). Pardubice: Univerzita Pardubice, 2014. ISBN 978-80-7395-824-4.
  • Jehlička, Vladimír. Sbírka příkladů z Matematiky 1: multimediální studijní opora (otázky, úkoly a příklady). Pardubice, 2016. ISBN 978-80-7395-967-8.
  • Koudela, L., a kol. Matematika I.. Pardubice: Univerzita Pardubice, 2012. ISBN 978-80-7395-460-4.
  • Kulička, Jiří. Elementární úlohy z matematiky. Pardubice: Univerzita Pardubice, 2013. ISBN 978-80-7395-711-7.
  • Prachař, Otakar. Minimum z předmětu matematika I : distanční opora.. Pardubice: Univerzita Pardubice, 2009. ISBN 978-80-7395-197-9.
  • Prachař, Otakar. Minimum z předmětu matematika I. Pardubice: Univerzita Pardubice, 2013. ISBN 978-80-7395-597-7.
  • Seibert, Jaroslav. Úvod do studia matematiky na Univerzitě v Pardubicích. Pardubice: Univerzita Pardibuce, 2011. ISBN 978-80-7395-455-0.
  • Zahrádka, Jaromír. Minimum z předmětu matematika I. : distanční opora.. Pardubice: Univerzita Pardubice, 2011. ISBN 978-80-7395-362-1.


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 Means: Road Vehicles (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Management, Marketing and Logistics (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Technology and Control: Technology and Control of Transport Systems (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Structures (2016) Construction industry, geodesy and cartography 1 Winter
Faculty of Transport Engineering Transport Management, Marketing and Logistics (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Management, Marketing and Logistics in Communications (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Management, Marketing and Logistics (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Technology and Control: Logistics Technologies (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Means: Road Vehicles (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Means: Environmental Protection in Transport (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Applied Informatics in Transport (2016) Informatics courses 1 Winter
Faculty of Transport Engineering Transport Technology and Control: Logistics Technologies (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Structures (2014) Construction industry, geodesy and cartography 1 Winter
Faculty of Transport Engineering Transport Structures (2013) Construction industry, geodesy and cartography 1 Winter
Faculty of Transport Engineering Management of Electronic Communications and Postal Services (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Electrical Engineering and Electronic Systems in Transport (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Applied Informatics in Transport (2014) Informatics courses 1 Winter
Faculty of Transport Engineering Transport Means: Road Vehicles (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Means: Rail Vehicles (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Means: Environmental Protection in Transport (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Management of Electronic Communications and Postal Services (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Technology and Control: Technology and Control of Transport Systems (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Technology and Control: Logistics Technologies (2013) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Technology and Control: Technology and Control of Transport Systems (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Means: Rail Vehicles (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Electrical Engineering and Electronic Systems in Transport (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Applied Informatics in Transport (2013) Informatics courses 1 Winter
Faculty of Transport Engineering Transport Means: Environmental Protection in Transport (2016) Transportation and communications 1 Winter
Faculty of Transport Engineering Transport Means: Rail Vehicles (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Electrical Engineering and Electronic Systems in Transport (2014) Transportation and communications 1 Winter
Faculty of Transport Engineering Management, Marketing and Logistics in Communications (2013) Transportation and communications 1 Winter