Course: Mathematics II

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Course title Mathematics II
Course code UMKM/KMAT2
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 5
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)
  • Seibert Jaroslav, doc. RNDr. CSc.
  • Koudela Libor, Mgr. Ph.D.
Course content
Function series. Power series. Radius, interval and domain of convergence. Taylor series. Linear spaces with a dot product, euclidean space. Vector product, triple product. Equation of a plane and a straight line. Functions of several variables - limits and continuity, partial derivatives, differential. Superposition of functions, functions defined implicitly and their derivatives, local extrema. Ordinary differential equations of the first order, the Cauchy problem, separation of variables. Linear differential equations of the first and second order, variation of parameters, method of unknown coefficients. Riemann's multiple integral, Fubini's theorem. Calculation of double integrals, theorem on substitution, improper integrals, applications.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Work with text (with textbook, with book)
Learning outcomes
The course is designed to acquaint students with basics of infinite function series, differential and integral calculus of functions of several real variables and theory of ordinary differential equations and to develop their ability to find and use appropriate mathematical methods to solve problems of various economic and technical disciplines.
Students will be able to apply obtained skills in solving concrete mathematical, technical and economic problems.
Prerequisites
Supposes examination from subject KMAT1.

Assessment methods and criteria
Written examination, Home assignment evaluation

Assignment a homework Examination - a set of problems and theoretical questions
Recommended literature
  • Kolda,S.-Černá,M. Matematika - Úvod do lineární algebry a analytické geometrie.. null. Pardubice, 2007. ISBN null.
  • Kolda,S.-Machačová ,L. Matematika II. Pardubice, 2007.
  • Kolda,S.-Machačová ,L.-Prachař,O. Cvičebnice z Matematiky II.. Pardubice, 2007.
  • Prachař, Otakar. Vybrané kapitoly předmětu Matematika II : pro kombinovanou formu studia. Pardubice: Univerzita Pardubice, 2006. ISBN 80-7194-844-6.
  • Prachař,O.-Cabrnochová,R. Průvodce předmětem MATEMATIKA (třetí část).. Pardubice, 2007.
  • Prachař,O.-Jelínková,J. Průvodce předmětem Matematika II - 4. část .. Pardubice, 2007.


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 Enterprise Management (2015) Economy 1 Summer
Faculty of Economics and Administration Public Economics and Administration (2015) Economy 1 Summer
Faculty of Economics and Administration Information and Security Systems (2014) Economy 1 Summer
Faculty of Economics and Administration Regional and Information Management (2015) Economy 1 Summer
Faculty of Economics and Administration Regional and Information Management (2014) Economy 1 Summer
Faculty of Economics and Administration Enterprise Management (2013) Economy 1 Summer
Faculty of Economics and Administration Public Economics and Administration (2015) Economy 1 Summer
Faculty of Economics and Administration Public Economics and Administration (2014) Economy 1 Summer
Faculty of Economics and Administration Information and Security Systems (2013) Economy 1 Summer
Faculty of Economics and Administration Security Management in Enterprises (2016) Economy 1 Summer
Faculty of Economics and Administration Economics and Operation in Enterprises (2014) Economy 1 Summer
Faculty of Economics and Administration Informatics in Public Administration (2015) Economy 1 Summer
Faculty of Economics and Administration Enterprise Management (2014) Economy 1 Summer
Faculty of Economics and Administration Economics and Operation in Enterprises (2013) Economy 1 Summer
Faculty of Economics and Administration Security Management in Enterprises (2013) Economy 1 Summer
Faculty of Economics and Administration Informatics in Public Administration (2014) Economy 1 Summer
Faculty of Economics and Administration Regional and Information Management (2013) Economy 1 Summer
Faculty of Economics and Administration Information and Security Systems (2015) Economy 1 Summer
Faculty of Economics and Administration Enterprise Management (2013) Economy 1 Summer
Faculty of Economics and Administration Enterprise Management (2015) Economy 1 Summer
Faculty of Economics and Administration Enterprise Management (2016) Economy 1 Summer
Faculty of Economics and Administration Enterprise Management (2014) Economy 1 Summer
Faculty of Economics and Administration Economics and Operation in Enterprises (2016) Economy 1 Summer
Faculty of Economics and Administration Security Management in Enterprises (2014) Economy 1 Summer
Faculty of Economics and Administration Informatics in Public Administration (2013) Economy 1 Summer
Faculty of Economics and Administration Public Economics and Administration (2014) Economy 1 Summer
Faculty of Economics and Administration Enterprise Management (2016) Economy 1 Summer
Faculty of Economics and Administration Security Management in Enterprises (2015) Economy 1 Summer
Faculty of Economics and Administration Public Economics and Administration (2013) Economy 1 Summer