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Mathematics I

Summary

The contents of the course is the introduction of common mathematical concepts and interpretation of their relations in connection to the methods of solving selected problems of three basic parts of mathematics, according to which the learning material is structured. In Differential Calculus, the main motive is the preparation to general use of derivatives of real functions of one variable. Under Linear algebra is an emphasis on interpretation of the basic methods for solving systems of linear equations. In Analytic geometry, there are, based on vector calculus, described basic linear formations of three-dimensional Euclidean space and some tools to evaluate their mutual position from qualitative and also quantitative point of view. After completing the course, students will be able to use the acquired knowledge and procedures from differential calculus of one variable, linear algebra, and analytical geometry not only in the study of university mathematics, but also in professional subjects.

Literature

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3.
http://mdg.vsb.cz/portal/en/Mathematics1.pdf
Trench, W.F.: Introduction to real analysis, Free Edition 1.06, January 2011, ISBN 0-13-045786-8 .

Advised literature

Moore,C: Math quations and inequalities, Science & Nature, 2014.
Jain, P.K.:A Textbook of Analytical Geometry of Three Dimensions,New Age International Publisher,1996.
Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1 .
Leon, S., J.: Linear Algebra with Aplications, Macmillan Publishing Company, New York, 1986, ISBN 0-02-369810-1 .


Language of instruction čeština, angličtina, čeština, angličtina
Code 230-0404
Abbreviation MI
Course title Mathematics I
Coordinating department Department of Mathematics
Course coordinator Mgr. Dagmar Dlouhá, Ph.D.