230-0323/01 – Repetition of Mathematics 1 (Repet 1)

Gurantor departmentDepartment of MathematicsCredits1
Subject guarantorMgr. Kateřina Kozlová, Ph.D.Subject version guarantorMgr. Kateřina Kozlová, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFBIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRA44 Mgr. Kateřina Kozlová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2
Part-time Credit 0+16

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. Thus the goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods. Students should learn: how to analyse problems, distinguish between important and unimportant, suggest a method of solution, verify each step of a method, generalize achieved results, analyse 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



Repetition of Mathematics 1 is intended for students who, for whatever reasons, fail the exam of Mathematics I and are interested in passing this exam. Its content essentially coincides with the content of the course Mathematics I. Repetition will focus on the practical part of the exam.

Compulsory literature:

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3. http://mdg.vsb.cz/portal/en/Mathematics1.pdf

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Course-credit: participation on tutorials is obligatory, 20% of absence can be accepted.



Další požadavky na studenta

There are no additional requirements.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Syllabus of tutorial 1. Domain of a real function of one real variable. 2. Bounded function, monotonic functions, even, odd and periodic functions. 3. One-to-one functions, inverse and composite functions. Elementary functions. 4. Inverse trigonometric functions. Limit of functions. 5. Derivative and differential of functions. 6. l’Hospital rule. Monotonic functions, extrema of functions. 7. Concave up function, concave down function, inflection point. 8. Asymptotes. Course of a function. 9. Matrix operations. 10. Elementary row operations, rank of a matrix, inverse. 11. Determinants. 12. Solution of systems of linear equations. Gaussian elimination algorithm. 13. Analytic geometry. 14. Reserve.

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.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2020/2021 (B3908) Fire Protection and Industrial Safety P Czech Ostrava 1 Optional study plan
2019/2020 (B3908) Fire Protection and Industrial Safety P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner