Course: Mathematic Practice I

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Course title Mathematic Practice I
Course code UMKM/PMS1
Organizational form of instruction Lesson
Level of course Bachelor
Year of study 1
Semester Winter
Number of ECTS credits 2
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)
  • Seinerová Kateřina, Ing.
  • Koudela Libor, Mgr. Ph.D.
  • Brebera Jan, RNDr.
  • Jindrová Pavla, Mgr. Ph.D.
  • Šulista Milan, doc. RNDr. CSc.
  • Janeček František, Mgr.
  • Kopecká Lucie, Ing.
  • Brebera David, Mgr.
Course content
The least upper bound and the greatest lower bound of a set of numbers. Sequences of real numbers and their limits. Functions of a real variable - properties, elementary functions, limits and continuity. Differential calculus of functions of a single variable - derivative, differential, theorems on derivatives. Investigation of a function - local extrema, intervals of monotonicity, inflections, concavity, asymptotes. Antiderivatives - elementary methods of calculation. The Riemann and Newton integral, improper integrals, applications. Infinite series - sum, convergence tests, absolute convergence.

Learning activities and teaching methods
Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
The course is designed to help students in understanding basic mathematical concepts and to develop their ability to solve independently all problems concerning the topics covered by the course Mathematics I.
Students will be able to solve independently all problems concerning the topics covered by the course Mathematics I.
Prerequisites
Secondary school mathematics.

Assessment methods and criteria
Written examination

Assignment - active attendance at seminars and succesfully answered written test.
Recommended literature
  • Cabrnochová,R. - Prachař,O. Průvodce předmětem MATEMATIKA I (druhá část).. Univerzita Pardubice, 2008.
  • Cabrnochová,R.-Prachař,O. Průvodce předmětem MATEMATIKA I (první část).. Pardubice, 2004.
  • Jindrová, Pavla. Sbírka řešených příkladů z matematiky s aplikacemi v ekonomii : distanční opora. Pardubice: Univerzita Pardubice, 2011. ISBN 978-80-7395-428-4.
  • Koudela L. a kol. Matematika I..
  • Prachař,O. Cabrnochová,R. Průvodce předmětem MATEMATIKA (třetí část) . Úlohy z lineární algebry, analytické geometrie a z nekonečných řad..


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Economics and Administration Public Economics and Administration (2013) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2014) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2016) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2014) Economy 1 Winter
Faculty of Economics and Administration Information and Security Systems (2015) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2015) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2015) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2014) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2015) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2013) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2015) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2013) Economy 1 Winter
Faculty of Economics and Administration Management of Financial Risks (2013) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2016) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2013) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2013) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2016) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2014) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2015) Economy 1 Winter
Faculty of Economics and Administration Information and Security Systems (2014) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2015) Economy 1 Winter
Faculty of Economics and Administration Security Management in Enterprises (2016) Economy 1 Winter
Faculty of Economics and Administration Regional and Information Management (2014) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2013) Economy 1 Winter
Faculty of Economics and Administration Management of Financial Risks (2014) Economy 1 Winter
Faculty of Economics and Administration Enterprise Management (2013) Economy 1 Winter
Faculty of Economics and Administration Economics and Operation in Enterprises (2014) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2014) Economy 1 Winter
Faculty of Economics and Administration Management of Financial Risks (2015) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2013) Economy 1 Winter
Faculty of Economics and Administration Informatics in Public Administration (2014) Economy 1 Winter
Faculty of Economics and Administration Information and Security Systems (2013) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2015) Economy 1 Winter
Faculty of Economics and Administration Public Economics and Administration (2015) Economy 1 Winter