714-0513 – Special Topics in Mathematics (VKM)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantorprof. RNDr. Radek Kučera, Ph.D.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0513/01 2006/2007 2018/2019 5
714-0513/02 2006/2007 2018/2019 5
714-0513/03 2015/2016 2019/2020 5

Subject aims expressed by acquired skills and competences

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

Basics of vector calculus. Functions of several variables: partial differentiation, extremal values. Integral calculus of functions of two variables and its application. Line integral and its applications. Basics of vector fields.

Compulsory literature:

1. Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X. 2. Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1. 3. Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1.

Recommended literature:

1. Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1.

Prerequisities

Subject codeAbbreviationTitleRequirement
714-0566 BM I Bachelor Mathematics I Recommended
714-0567 BM II Bachelor Mathematics II Recommended

Co-requisities

Subject has no co-requisities.