230-0201 – Mathematics (BcM1)

Gurantor departmentDepartment of Mathematics
Subject guarantorRNDr. Petr Volný, Ph.D.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
230-0201/01 2018/2019 2020/2021 5
230-0201/02 2018/2019 2020/2021 6
230-0201/03 2018/2019 2020/2021 7
230-0201/04 2018/2019 2020/2021 7
230-0201/05 2018/2019 4
230-0201/06 2018/2019 2020/2021 4
230-0201/07 2019/2020 6
230-0201/08 2019/2020 6
230-0201/09 2019/2020 6
230-0201/10 2019/2020 6
230-0201/11 2019/2020 6
230-0201/12 2019/2020 6
230-0201/13 2025/2026 6
230-0201/14 2025/2026 6
230-0201/15 2026/2027 6
230-0201/16 2026/2027 6

Subject aims expressed by acquired skills and competences

Mathematics is an essential part of education on technical universities. It should be considered rather the method in the study of technical courses than a goal. The aim of the course is therefore to teach students not only basic mathematical knowledge, procedures and methods, but also to deepen their logical thinking. Students should learn how to analyse problems, distinguish between important and unimportant, propose a solution procedure, verify each step of a method, generalize achieved results, analyse correctness of achieved results with respect to given conditions, apply these methods to solve technical problems, understand that mathematical methods and thought processes are applicable beyond mathematics.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

Mathematics I is connected with secondary school education. It is divided in three parts, differential calculus of functions of one real variable, linear algebra and analytic geometry in the three dimensional Euclidean space E3. The aim of the first chapter is to handle the concept of a function and its properties, limits of functions, derivatives of functions and their applications. The second chapter emphasizes the systems of linear equations and the methods of solution. The third chapter introduces the basics of vector calculus and linear objects in three dimensional space.

Compulsory literature:

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3, http://mdg.vsb.cz/portal/en/Mathematics1.pdf. Hass, J.R.; Heil, C.E.; Bogacki, P.; Weir, M.D.: Thomas' Calculus, 15th Ed., Pearson, 2023. Trench, W.F.: Introduction to real analysis, Free Edition 1.06, January 2011, ISBN 0-13-045786-8.

Recommended literature:

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

Additional study materials

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.