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

Course Unit Code | 714-0333/03 | |||||
---|---|---|---|---|---|---|

Number of ECTS Credits Allocated | 1 ECTS credits | |||||

Type of Course Unit * | Optional | |||||

Level of Course Unit * | Second Cycle | |||||

Year of Study * | First Year | |||||

Semester when the Course Unit is delivered | Summer Semester | |||||

Mode of Delivery | Face-to-face | |||||

Language of Instruction | Czech, English | |||||

Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester | |||||

Name of Lecturer(s) | Personal ID | Name | ||||

DOL30 | doc. RNDr. Jarmila Doležalová, CSc. | |||||

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. | ||||||

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 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. | ||||||

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 mdg.vsb.cz/M/ www.studopory.vsb.cz/ | ||||||

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
http://mdg.vsb.cz/M | ||||||

Planned learning activities and teaching methods | ||||||

Individual consultations, Tutorials, Other activities | ||||||

Assesment methods and criteria | ||||||

Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing | |||

Exercises evaluation | Credit |