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Compendium of Mathematics IV

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code714-0333/03
Number of ECTS Credits Allocated1 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *Second Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
DOL30doc. RNDr. Jarmila Doležalová, CSc.
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.
Learning Outcomes of the Course Unit
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
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.
Course Contents
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
Recommended or Required Reading
Required Reading:
Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1
Burda, P., Doležalová, J.: Integrální počet funkcí více proměnných, Matematika IIIb. Skriptum VŠB-TU, Ostrava.
Burda,P.-Doležalová,J.: Cvičení z matematiky IV. Skriptum VŠB-TU, Ostrava
Škrášek,J. a kol.: Základy aplikované matematiky II. SNTL Praha, 1986

Recommended Reading:
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
Škrášek, J.-Tichý, Z.: Základy aplikované matematiky II. SNTL Praha, 1986
Planned learning activities and teaching methods
Individual consultations, Tutorials, Other activities
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Exercises evaluationCredit