310-2117 – Mathematics 1 (M1)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantorRNDr. Jan Kotůlek, Ph.D.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
310-2117/01 2021/2022 6
310-2117/02 2021/2022 6
310-2117/03 2021/2022 6
310-2117/04 2021/2022 6

Subject aims expressed by acquired skills and competences

Mathematics is an essential part of the engineering programmes. Nevertheless, it is not a a goal on its own, but rather a necessary tool for understanding the technical subjects. Therefore, we aim to both introducing the basic mathematical concepts and deepen the logical and analytical thinking of our students.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

The subject is divided into four chapters. In the first chapter we study real functions of one real variable and their properties, in the second chapter we introduce the notion of derivative and study its properties and applications. In the third chapter we introduce Gauss elimination method for solution of systems of linear algebraic equations. In the last chapter we apply it to the geometric problems in three-dimensional Euclidean space.

Compulsory literature:

BIRD, J. O. Higher engineering mathematics. Eighth edition. London: Routledge, Taylor & Francis Group, 2017. ISBN 978-1-138-67357-1. NEUSTUPA, Jiří. Mathematics. 2. Vyd. Praha: Vydavatelství ČVUT, 2004. ISBN 80-01-02946-8. BĚLOHLÁVKOVÁ, Jana, Jan KOTŮLEK, Worksheets for Mathematics I. 1. vyd. Ostrava: VŠB-TUO, 2020.

Recommended literature:

ANDREESCU, Titu. Essential linear algebra with applications: a problem-solving approach. New York: Birkhäuser, [2014]. ISBN 978-0-8176-4360-7. HARSHBARGER, Ronald J. a REYNOLDS, James J. Calculus with applications. 2nd ed. Lexington: D.C. Heath, 1993. xiv, 592 s. ISBN 0-669-33162-7. James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.