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
230-0201/17 2026/2027 6

Subject aims expressed by acquired skills and competences

The aim of the subject is to teach students not only basic mathematical knowledge, procedures and methods, but also to deepen their logical thinking. Students should learn to analyze a problem, distinguish the essential from the unessential, propose a solution procedure, check individual steps of the solution, generalize the conclusions, evaluate the correctness of the results with respect to the given conditions, apply tasks to solving technical problems, and understand that mathematical methods and thought processes are applicable in areas other than mathematics.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

The subject is divided into three chapters - differential calculus of functions of one variable, linear algebra and analytical geometry in three-dimensional Euclidean space E3. The student will become familiar with the fundamental mathematical concept of differential calculus with a focus on civil engineering. In linear algebra, the student will learn to solve systems of linear equations by means of methods used in modeling building structures. In analytical geometry of the three-dimensional space, the student will learn mathematical description of elementary objects, point, line, plane and the students will acquire the skills to solve positional and metric problems.

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.