230-0222/01 – Repetition of Mathematics 2 (Repet 2)

Gurantor departmentDepartment of MathematicsCredits1
Subject guarantorRNDr. Viktor Dubovský, Ph.D.Subject version guarantorRNDr. Viktor Dubovský, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year2Semesterwinter
Study languageCzech
Year of introduction2018/2019Year of cancellation
Intended for the facultiesFASTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
TUZ006 RNDr. Michaela Bobková, Ph.D.
DLO44 Mgr. Dagmar Dlouhá, Ph.D.
DUB02 RNDr. Viktor Dubovský, Ph.D.
VOL18 RNDr. Jana Volná, Ph.D.
VOL06 RNDr. Petr Volný, 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

Individual consultations
Tutorials

Summary

Repetition of Mathematics 2 is intended for students who, for whatever reasons, fail the exam of Mathematics II and are interested in passing this exam. Its content essentially coincides with the content of the course Mathematics I. The aim is to enable better understanding of mathematics by the solving of concrete examples and problems. Repetition will focus on the practical part of the exam and they will be solved examples matching the written part of the exam.

Compulsory literature:

Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X

Recommended literature:

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1 James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456

Way of continuous check of knowledge in the course of semester

The course is optional and requires the active participation of students registered. Participation on tutorials is obligatory, 20% of absence can be apologized, elaborate programs.

E-learning

http://www.studopory.vsb.cz http://mdg.vsb.cz (in Czech language)

Other requirements

There are not additional requirements.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Syllabus of tutorial 1. Course of a function of one real variable. 2. Integration by a direct method. Integration by substitution. 3. Integration by substitution. Integration by parts. 4. Integration of rational functions. 5. 1st test (basic methods of integration). Definite integrals. 6. Applications of definite integrals. 7. Functions of more variables, domain, partial derivatives. 8. Equation of a tangent plane and a normal to a graph of functions of two variables. Derivation of implicit functions. 9. Extrema of functions. 2nd test (functions of two variables). 10. Differential equations, separable and homogeneous differential equations. 11. Linear differential equations of 1st order. Exact differential equations. 12. 2nd order linear differential equations with constant coefficients. 13. Method of undetermined coefficients. 3rd test (differential equations). 14. Reserve.

Conditions for subject completion

Full-time form (validity from: 2018/2019 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit   3
Mandatory attendence participation: At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

Show history

Conditions for subject completion and attendance at the exercises within ISP: Mandatory participation in the course is not required. Other conditions for subject completion will respect the individual needs of the student.

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (B0731A010004) Architecture and Construction P Czech Ostrava 2 Optional study plan
2022/2023 (B0732A260001) Civil Engineering K Czech Ostrava 2 Optional study plan
2022/2023 (B0732A260001) Civil Engineering P Czech Ostrava 2 Optional study plan
2021/2022 (B0731A010004) Architecture and Construction P Czech Ostrava 2 Optional study plan
2021/2022 (B0732A260001) Civil Engineering P Czech Ostrava 2 Optional study plan
2021/2022 (B0732A260001) Civil Engineering K Czech Ostrava 2 Optional study plan
2020/2021 (B3502) Architecture and Construction (3501R011) Architecture and Construction P Czech Ostrava 2 Optional study plan
2020/2021 (B3607) Civil Engineering K Czech Ostrava 2 Optional study plan
2020/2021 (B0731A010004) Architecture and Construction P Czech Ostrava 2 Optional study plan
2020/2021 (B0732A260001) Civil Engineering P Czech Ostrava 2 Optional study plan
2020/2021 (B0732A260001) Civil Engineering K Czech Ostrava 2 Optional study plan
2019/2020 (B3502) Architecture and Construction (3501R011) Architecture and Construction P Czech Ostrava 2 Optional study plan
2019/2020 (B3607) Civil Engineering P Czech Ostrava 2 Optional study plan
2019/2020 (B3607) Civil Engineering K Czech Ostrava 2 Optional study plan
2019/2020 (B0731A010004) Architecture and Construction P Czech Ostrava 2 Optional study plan
2019/2020 (B0732A260001) Civil Engineering P Czech Ostrava 2 Optional study plan
2019/2020 (B0732A260001) Civil Engineering K Czech Ostrava 2 Optional study plan
2018/2019 (B3502) Architecture and Construction (3501R011) Architecture and Construction P Czech Ostrava 2 Optional study plan
2018/2019 (B3607) Civil Engineering K Czech Ostrava 2 Optional study plan
2018/2019 (B3607) Civil Engineering P Czech Ostrava 2 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2022/2023 Winter
2020/2021 Winter
2019/2020 Winter
2018/2019 Winter