230-0223/01 – Repetition of Mathematics 3 (Repet 3)

Gurantor departmentDepartment of MathematicsCredits1
Subject guarantorMgr. Jitka Krčková, Ph.D.Subject version guarantorMgr. Jitka Krčková, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year2Semestersummer
Study languageCzech
Year of introduction2018/2019Year of cancellation
Intended for the facultiesFASTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRC76 Mgr. Jiří Krček
KRC23 Mgr. Jitka Krčková, Ph.D.
KRE40 doc. RNDr. Pavel Kreml, CSc.
PAL39 RNDr. Radomír Paláček, Ph.D.
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

Goals and competence 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 3 is intended for students who, for whatever reasons, fail the exam of Mathematics I 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:

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. Participation on tutorials is obligatory, 20% of absence can be apologized.

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: Combinatorics. Random events and their operations. Probabilities of random events - clasical, geometrical, statistical. Conditional probability. Composite probability. Bernoulli sequence of independent random trials. Bayes formula. Discrete and continuous random variable. Probability mass and density function. Probability distribution funciton. Characteristics of random variables. Basic types of probability distributions of discrete and continuous random variables. Random vectors, their probabilities distribution and characteristics. Processing of the statistical sample. Random selection, point and interval estimates. Testing of hypothesis - parametrical and nonparametrical tests. Linear regression. Least square method.

Conditions for subject completion

Full-time form (validity from: 2018/2019 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit Credit  
Mandatory attendence parzicipation: 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

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
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
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