# 714-0267 – Mathematics II (BcM2)

 Gurantor department Department of Mathematics and Descriptive Geometry Subject guarantor doc. RNDr. Pavel Kreml, CSc. Study level undergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0267/01 1999/2000 2019/2020 5
714-0267/02 1999/2000 2019/2020 5
714-0267/03 2007/2008 2019/2020 4
714-0267/04 2011/2012 2019/2020 5
714-0267/05 2011/2012 2019/2020 5
714-0267/06 2012/2013 2019/2020 6
714-0267/07 2019/2020 2019/2020 5
714-0267/08 2019/2020 2019/2020 5

### Subject aims expressed by acquired skills and competences

Goals and competence Mathematics is essential part of education on technical universities. It should be considered rather the method in the study of technical courses than a goal. Thus the goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods. Students should learn how to analyze problems, distinguish between important and unimportant, suggest a method of solution, verify each step of a method, generalize achieved results, analyze correctness of achieved results with respect to given conditions, apply these methods while solving technical problems, understand that mathematical methods and theoretical advancements outreach the field mathematics.

### Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

### Summary

Integral calculus of function of one real variable: the indefinite and definite integrals, properties of the indefinite and definite integrals, application in the geometry and physics. Differential calculus of functions of several independent variables. Ordinary differential equations of the first and the second order.

### Compulsory literature:

Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X

### Recommended literature:

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1 James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456

### Prerequisities

Subject codeAbbreviationTitleRequirement
714-0266 BcM1 Mathematics I Compulsory

### Co-requisities

Subject has no co-requisities.