University of Pardubice
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for academic year 2016/2017
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Course: Mathematics I

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Course title Mathematics I
Course code UAFM/C601
Organizational form of instruction Lecture + Seminar
Level of course Bachelor
Year of study 1
Semester Winter
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)
  • Kalenský Radomír, Ing.
  • Zajac Vít, Mgr. Ph.D.
  • Pavlišta Martin, Ing. Ph.D.
  • Horák Milan, Mgr.
  • Widenská Eva, Ing. Ph.D.
  • Kašparová Jana, Mgr. Ph.D.
  • Kostra Juraj, doc. RNDr. CSc.
Course content
Matrices, determinants. Systems of linear equations. Vectors. Linear dependence and independence of vectors. Scalar product. Vector product. Complex numbers, operations on complex numbers. The concept of real functions of a real variable. The composite function. The inverse function. Elementary functions. Limit and continuity of a function. Derivative. Geometrical and physical meaning. Applications. Derivatives of elementary functions. The basic formulas for differentiation. Differential of a function. Higher derivatives. Investigation of behavior of a function. Primitive functions, indefinite integral. The basic formulas for integration. Integration by parts. Substitution methods. Integration of rational functions. Definite integral and its applications. Improper integral. Basic differential equations.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
Learning outcomes
The aim of this course is to provide students with basics of mathematical tools with respect to their study field
Students will recapitulate and extend their knowledge of some parts of secondary school mathematics. They will be provided with basics of differential and integral calculus of one variable and with basic linear algebra.
Prerequisites
Not specified.

Assessment methods and criteria
Written examination, Student performance assessment, Systematic monitoring

The exam has two written parts. Both parts must be passed on one examination term. The first part is the high school mathematical minimum (the content is located in STAG among the Study resources of the course Mathematics I: "Mat_minimum_ze_stred_skoly_pozadavky_2016-17"). The student is allowed to do the second part of the exam (contains 4 calculation tasks according to the Content below) only after successful passing the first part of the exam. The course is completed by passing the first part and achieving 50% success in the second part.
Recommended literature
  • Cabrnochová,R. - Prachař,O. Průvodce předmětem MATEMATIKA I. (1. a 2. část). Pardubice, 2004.
  • Došlá Z. Matematika pro chemiky 1. díl. Brno, 2010.
  • Došlá Z. Matematika pro chemiky 2.díl. Brno, 2010.
  • Janeček F., Jindrová P., Zapletal D. Příklady a úlohy ze středoškolské matematiky k přípravě na přijímací zkoušky na VŠ.. Pardubice, 2005.
  • Kolda S. - Černá M. Úvod do lineární algebry a analytické geometrie. Pardubice, 2004.
  • Kopáček J. Matematická analýza nejen pro fyziky II..
  • Polák j. Přehled středoškolské matematiky. Praha, 1972.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Chemical Technology Study plan (Version): Laboratory Assistant (2015) Category: Health service 1 Recommended year of study:1, Recommended semester: Winter
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Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2016) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Economy and Management of Chemical and Food Industry (2016) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Laboratory Assistant (2013) Category: Health service 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Inorganic Materials (2016) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Economy and Management of Chemical and Food Industry (2013) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Inorganic Materials (2015) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Polymeric Materials and Composites (2014) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Farmacochemistry and Medicinal Materials (2013) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2015) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2013) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Chemistry and Technical Chemistry (2016) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Clinical Biology and Chemistry (2016) Category: Special and interdisciplinary fields 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Economy and Management of Chemical and Food Industry (2015) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Environment Protection (2016) Category: Ecology and environmental protection 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Inorganic Materials (2013) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Farmacochemistry and Medicinal Materials (2016) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2016) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Laboratory Assistant (2016) Category: Health service 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Laboratory Assistant (2014) Category: Health service 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Polymeric Materials and Composites (2016) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2015) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Evaluation and Analysis of Foodstuffs (2016) Category: Food industry and food industry chemistry 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Inorganic Materials (2014) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Surface Protection of Building and Construction Materials (2014) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2014) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Clinical Biology and Chemistry (2014) Category: Special and interdisciplinary fields 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Polymeric Materials and Composites (2015) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Clinical Biology and Chemistry (2015) Category: Special and interdisciplinary fields 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Clinical Biology and Chemistry (2013) Category: Special and interdisciplinary fields 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Polymeric Materials and Composites (2013) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Farmacochemistry and Medicinal Materials (2015) Category: Engineering chemistry and chemistry of silicates 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Chemical Technology Study plan (Version): Graphic Arts and Printing Technology (2013) Category: Printing, working with paper, film and photography 1 Recommended year of study:1, Recommended semester: Winter
University of Pardubice, date of update: 02.11.2024 23:51. Data created for academic year 2016/2017