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Mathematics II

Language of instruction angličtina, čeština
Code 230-0405
Abbreviation MII
Course title Mathematics II
Coordinating department Department of Mathematics
Course coordinator doc. Mgr. Dagmar Dlouhá, Ph.D.

Anotace

After completing the course, the student will explain and critically assess three basic parts of university mathematics - integral calculus of a function of one variable, differential calculus of a function of two variables and differential equations. They will be able to use the knowledge and procedures acquired from differential calculus of two variables, integral calculus and differential equations to solve problems in professional subjects and in practice.
The student is able to analyze and use the acquired requirements when solving application problems.
The student is able to use derivatives and integrals independently, to appropriately choose and defend the procedure for solving differential equations. In addition to these acquired competencies, the student is able to deepen his logical thinking, analyze the problem, distinguish the essential from the unessential, propose a solution procedure, check the individual steps of the solution, generalize the conclusions drawn, evaluate the correctness of the results with respect to the specified conditions, apply tasks to solving technical problems, understand that mathematical methods and thought processes are applicable in other areas than just mathematics.

Povinná literatura

Volná, J.; Volný, P.: Worksheets for Mathematics II, VŠB-TUO, 2021; http://mdg.vsb.cz/portal/en/Mathematics2_worksheets.pdf
Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X
http://mdg.vsb.cz/portal/en/Mathematics2.pdf
Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1.
James, G.: Modern Engineering Mathematics, Addison-Wesley, 1992, 0-201-1805456.

Doporučená literatura

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1 .
Moore,C: Math quations and inequalities, Science & Nature, 2014.
James, G.: Modern Engineering Mathematics. Addison – Wesley Publishing
Company, Wokingham, 1994, ISBN 0-201-18504-5 .