714-0333/05 – Compendium of Mathematics IV (RzMIV)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantordoc. RNDr. Jarmila Doležalová, CSc.Subject version guarantorRNDr. Pavel Ludvík, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semestersummer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
DOL30 doc. RNDr. Jarmila Doležalová, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2

Subject aims expressed by acquired skills and competences

Goals and competence. 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
Tutorials
Other activities

Summary

Repetition of mathematics IV is intended for students who, for whatever reasons, failed the examination of the subject Mathematics IV. Its content substantially coincides with the synopses of this subject. The aim of the Repetition is to enable understanding of the teaching content by solving particular exercises. The Repetition will primarily focus on the practical part of the exam; exercises similar to those of the written part of the exam will be solved.

Compulsory literature:

Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1

Recommended literature:

James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456 James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6

Way of continuous check of knowledge in the course of semester

The course is optional and requires the active participation of students registered.

E-learning

http://www.studopory.vsb.cz http://mdg.vsb.cz

Other requirements

No additional requirements are.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Syllabus of tutorial: 1-2 Infinite series 3-4 Vector analysis 5-6 Systems of ordinary linear differential equations of the first order 7-8 Two-dimensional integrals 9-10 Three-dimensional integrals 11-12 Line integral 13-14 Reserve

Conditions for subject completion

Full-time form (validity from: 2015/2016 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit Credit  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2018/2019 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P English Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P English Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P English Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P English Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner