714-0237/01 – Repetition of Mathematics 2 (Repet 2)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantordoc. RNDr. Pavel Kreml, CSc.Subject version guarantordoc. RNDr. Pavel Kreml, CSc.
Study levelundergraduate or graduateRequirementOptional
Year2Semesterwinter
Study languageCzech
Year of introduction2014/2015Year of cancellation
Intended for the facultiesFASTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DUB02 RNDr. Viktor Dubovský, Ph.D.
KRE40 doc. RNDr. Pavel Kreml, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2
Combined 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)

Další požadavky na studenta

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: 2014/2015 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation Credit  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2017/2018 (B3502) Architecture and Construction (3501R011) Architecture and Construction P Czech Ostrava 2 Optional study plan
2017/2018 (B3607) Civil Engineering P Czech Ostrava 2 Optional study plan
2017/2018 (B3607) Civil Engineering K Czech Ostrava 2 Optional study plan
2016/2017 (B3502) Architecture and Construction (3501R011) Architecture and Construction P Czech Ostrava 2 Optional study plan
2016/2017 (B3607) Civil Engineering P Czech Ostrava 2 Optional study plan
2016/2017 (B3607) Civil Engineering K Czech Ostrava 2 Optional study plan
2015/2016 (B3502) Architecture and Construction (3501R011) Architecture and Construction P Czech Ostrava 2 Optional study plan
2015/2016 (B3607) Civil Engineering P Czech Ostrava 2 Optional study plan
2015/2016 (B3607) Civil Engineering K Czech Ostrava 2 Optional study plan
2014/2015 (B3502) Architecture and Construction (3501R011) Architecture and Construction P Czech Ostrava 2 Optional study plan
2014/2015 (B3607) Civil Engineering P Czech Ostrava 2 Optional study plan
2014/2015 (B3607) Civil Engineering K Czech Ostrava 2 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner