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Course: Mathematic Practice I

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Course title Mathematic Practice I
Course code UMKM/KMS1
Organizational form of instruction Lecture
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.
  • Zapletal David, Mgr. Ph.D.
Course content
Essentials of propositional and predicate calculus. Sets . Essentials of mathematical analysis - sequence of real numbers and its limit. Function of one real variable, special categories of functions, elementary functions. Limit and continuity of function . Differential calculus of a function with one variable - derivation of a function, derivations of elementary functions, differentiable function and differential of a function, application of a differential with approximate calculus. Average value theorems, Taylor's multinominal and its use. Taylor's theorem. L'Hospital's rule. General examination of a course of a function. Integral number of functions with one variable. Primitive functions and improper integral, basic integration methods. Integration of rational functions. Proper integral, Riemann's and Newton's theorem about proper integral. Calculation methods. Infinite integrals. Use of proper integral. Infinite series - criteria of a convergence of numerical series with positive elements, alternating series, absolutely convergent series . Function series, convergence range, total series. Power series, radius and interval of convergence. Taylor's series. Use of series.

Learning activities and teaching methods
Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Methods of individual activities, Skills training
Learning outcomes
The aim of the course is to recapitulate, improve and organize the knowledge acquired in lectures and seminars of the course Mathematic I and further develop the skill of the students to solve independently exercises in all discussed thematic spheres. Students have got the possibility to consult difficult exercises and ask about more complicated parts of the mathematical theory.
Students will be able to apply obtained skills in solving concrete mathematical, technical and economic problems.
Prerequisites
unspecified

Assessment methods and criteria
Home assignment evaluation, Work-related product analysis

The assignment is granted upon completion of the following conditions: attendance at least one tutorial and completion of all given tasks.
Recommended literature
  • Cabrnochová,R. - Prachař,O. Průvodce předmětem MATEMATIKA I. (1. a 2. 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.. Pardubice: Univerzita Pardubice, 2012. ISBN 978-80-7395-460-4.
  • Prachař,O. - Cabrnochová,R. Průvodce předmětem MATEMATIKA ( 3. část). Pardubice, 2004.


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): 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): 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): 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 (2014) 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): 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): 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): 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): 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 (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 (2014) 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 (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 (2013) 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): 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): 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): 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 (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): 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): 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): Enterprise Management (2013) 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): 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): Enterprise Management (2016) Category: Economy 1 Recommended year of study:1, Recommended semester: Winter
University of Pardubice, date of update: 22.05.2024 23:50.