Mathematics II

Summary

The course includes three chapters – integral calculus of functions of one real variable, introduction to differential calculus of functions of two real variables and ordinary differential equations. The aim of the first chapter is to master the basic techniques of integration and, above all, to become familiar with the geometric and physical applications of the definite integral. The second chapter deals with the basics of differential calculus of functions of two variables, creating a geometric idea of a graph, determining local extrema and the tangent plane to a surface. The third chapter introduces the basic types of ordinary differential equations and their solutions.

Literature

Hass, J.R.; Heil, C.E.; Bogacki, P.; Weir, M.D.: Thomas' Calculus, 15th Ed., Pearson, 2023.
Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, http://mdg.vsb.cz/portal/en/Mathematics2.pdf
Volná, J.; Volný, P.: Worksheets for Mathematics II, VŠB-TUO, 2021; http://mdg.vsb.cz/portal/en/Mathematics2_worksheets.pdf

Advised literature

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990,
James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992.

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Language of instruction	čeština, čeština, angličtina, čeština, angličtina, čeština, angličtina, čeština, angličtina, čeština, angličtina, čeština, angličtina, čeština, angličtina, angličtina, čeština
Code	230-0202
Abbreviation	BcM II
Course title	Mathematics II
Coordinating department	Department of Mathematics
Course coordinator	RNDr. Petr Volný, Ph.D.