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Course: Mathematic Practice I

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Course title Mathematic Practice I
Course code UMKM/PMS1
Organizational form of instruction Tutorial
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.
  • Zapletalová Lucie, Ing. Ph.D.
  • 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) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Economics and Administration Study plan (Version): Public Economics and Administration (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2016) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Public Economics and Administration (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Information and Security Systems (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Economics and Operation in Enterprises (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Security Management in Enterprises (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Informatics in Public Administration (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Informatics in Public Administration (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Management of Financial Risks (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Economics and Operation in Enterprises (2016) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Economics and Operation in Enterprises (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Regional and Information Management (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2016) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Security Management in Enterprises (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Regional and Information Management (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Information and Security Systems (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Security Management in Enterprises (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Security Management in Enterprises (2016) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Regional and Information Management (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Management of Financial Risks (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Enterprise Management (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Economics and Operation in Enterprises (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Public Economics and Administration (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Management of Financial Risks (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Public Economics and Administration (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Informatics in Public Administration (2014) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Information and Security Systems (2013) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Public Economics and Administration (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Economics and Administration Study plan (Version): Public Economics and Administration (2015) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
University of Pardubice, date of update: 09.06.2024 23:50.