# 714-0003/01 – Mathematics III (MIII)

 Gurantor department Department of Mathematics and Descriptive Geometry Credits 4 Subject guarantor RNDr. Lubomír Pavelka, Ph.D. Subject version guarantor RNDr. Lubomír Pavelka, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 2 Semester winter Study language Czech Year of introduction 1999/2000 Year of cancellation 2005/2006 Intended for the faculties FBI Intended for study types Master
Instruction secured by
PAV20 RNDr. Lubomír Pavelka, Ph.D.
MIC75 Mgr. Magda Štěpánová
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

### Subject aims expressed by acquired skills and competences

This course is closed. 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 matematics.

### Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

### Summary

Probability: probability of random events, independence of events, random variables, mean and variance, important distributions. Functions of several variables: partial differentiation, extremal values. Integral calculus of functions of two variables and its application. Line integral and its applications.

### Compulsory literature:

Doležalová,J.: Mathematics I, VŠB - TU, Ostrava 2005, ISBN 80-248-0796-3

### Recommended literature:

[1] Vrbenská,H., Bělohlávková,J: Základy matematiky pro bakaláře I. Skriptum VŠB-TUO, 1997. ISBN 80-7078-6351-6 [2] Vrbenská,H., Bělohlávková,J.: Základy matematiky pro bakaláře II. Skriptum VŠB-TUO, 1999. ISBN 80-7078-545-4

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

Probability: probability of random events, independence of events, random variables, mean and variance, important distributions. Functions of several variables: partial differentiation, extremal values. Integral calculus of functions of two variables and its application. Line integral and its applications.

### Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 20 (20) 0
Written exam Written test 15  0
Examination Examination 80 (80) 0
Written examination Written examination 60  0
Oral Oral examination 20  0
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2004/2005 (M3908) Fire Protection and Industrial Safety (3908T002) Safety Engineering P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3908) Fire Protection and Industrial Safety (3908T006) Fire Protection Engineering and Industrial Safety P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3908) Fire Protection and Industrial Safety (3908T002) Safety Engineering P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3908) Fire Protection and Industrial Safety (3908T006) Fire Protection Engineering and Industrial Safety P Czech Ostrava 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner