310-2114/01 – Compendium of Mathematics I (RzMI)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantorRNDr. Jan Kotůlek, Ph.D.Subject version guarantorRNDr. Jan Kotůlek, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
JAH0037 Mgr. Monika Jahodová, Ph.D.
KOT31 RNDr. Jan Kotůlek, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2
Combined Credit 0+28

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

Individual consultations
Other activities


Compendium of Mathematics is destined to students, who from any reason did not pass the exam from subject Mathematics I. Its content is in substantial agreement with synopses of this subject. The aim of Repetitorium is to enable the understanding of mathematics subject matter by solving concrete exercises. Repetitorium will be primarily focused on practical part of the exam; the exercises that correspond to the written part of the exam will be solved there.

Compulsory literature:

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3

Recommended literature:

Harshbarger R., Reynolds J: Calculus with Applications, D.C. Heath and Company 1990

Way of continuous check of knowledge in the course of semester


Další požadavky na studenta

Jde o nepovinný předmět, další požadavky nejsou.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Repetition of the crucial topics from Mathematics I. real functions, calculus, linear algebra and analytic geometry

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2341) Engineering P Czech Ostrava 1 Optional study plan
2019/2020 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Optional study plan
2019/2020 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Optional study plan
2019/2020 (B2341) Engineering K Czech Ostrava 1 Optional study plan
2019/2020 (B3907) Energetics (3907R012) Energetics of the 21st Century K Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner