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_201516").

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.
