Course: Mathematics I

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Course title Mathematics I
Course code UAFM/C003
Organizational form of instruction Lecture + Seminary
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.
  • Horák Milan, Mgr.
  • Pavlišta Martin, Ing. Ph.D.
  • Widenská Eva, Ing.
  • 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 connection 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. Method by parts. Substitution methods. Integration of rational functions. Definite integral and its applications. 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
Oral examination, Written examination, Student performance assessment

The exam - minimally 50% success of 5 computational tasks and fulfilment of mathematical minimum required from high school. The content of mathematical minimum is located in study materials of the course of Mathematics I in STAG ("Mat_minimum_ze_stred_skoly_pozadavky_2015-16").
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) Branch of study Category Recommended year of study Recommended semester
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Faculty of Chemical Technology Chemistry and Technical Chemistry (2015) Engineering chemistry and chemistry of silicates 1 Winter
Faculty of Chemical Technology Evaluation and Analysis of Foodstuffs (2014) Food industry and food industry chemistry 1 Winter
Faculty of Chemical Technology Evaluation and Analysis of Foodstuffs (2015) Food industry and food industry chemistry 1 Winter
Faculty of Chemical Technology Environment Protection (2014) Ecology and environmental protection 1 Winter
Faculty of Chemical Technology Evaluation and Analysis of Foodstuffs (2013) Food industry and food industry chemistry 1 Winter
Faculty of Chemical Technology Chemistry and Technical Chemistry (2014) Engineering chemistry and chemistry of silicates 1 Winter
Faculty of Chemical Technology Environment Protection (2015) Ecology and environmental protection 1 Winter
Faculty of Chemical Technology Environment Protection (2013) Ecology and environmental protection 1 Winter