714-0331/01 – Compendium of Mathematics (RzM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits0
Subject guarantorMgr. Milena Luňáčková, Ph.D.Subject version guarantorMgr. Milena Luňáčková, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semestersummer
Study languageCzech
Year of introduction2002/2003Year of cancellation2013/2014
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
LUN44 Mgr. Milena Luňáčková, Ph.D.
SKN002 Ing. Petra Schreiberová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2
Combined Credit 0+28

Subject aims expressed by acquired skills and competences

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

Compendium of Mathematics is destined to students, who from any reason did not pass the exam from subject Mathematics I. Its content is in substantial agreement with synopses of this subject. The aim of Repetitorium is to enable the understanding of mathematics subject matter by solving concrete exercises. Repetitorium will be primarily focused on practical part of the exam; the exercises that correspond to the written part of the exam will be solved there.

Compulsory literature:

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

Recommended literature:

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990

Way of continuous check of knowledge in the course of semester

E-learning

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

Další požadavky na studenta

Other requirements are not.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1 The sets of real numbers, basic properties 2 Determinants (calculation, evaluation) 3 Matrix operations 4 Matrix inversion 5 Systems of linear equations, Cramer’s rule 6 Gaussian elimination 7 Functions of one real variable (definitions and basic properties) 8 Inverse functions 9 Derivatives of selected functions 10 Monotonic functions and extremes of function 11 Convexity and concavity of a function 12 Product of vectors (basic properties) 13 Analytical geometry in E3

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2009/2010 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation Credit 85  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2013/2014 (B2341) Engineering P Czech Ostrava 2 Optional study plan
2013/2014 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 2 Optional study plan
2013/2014 (B3712) Air Transport Technology (3708R036) Air Operation Technology P Czech Ostrava 2 Optional study plan
2013/2014 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 2 Optional study plan
2013/2014 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 2 Optional study plan
2013/2014 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Ostrava 2 Optional study plan
2013/2014 (B2341) Engineering K Czech Ostrava 2 Optional study plan
2012/2013 (B3712) Air Transport Technology (3708R036) Air Operation Technology P Czech Ostrava 2 Optional study plan
2012/2013 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 2 Optional study plan
2012/2013 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 2 Optional study plan
2012/2013 (B2341) Engineering P Czech Ostrava 2 Optional study plan
2012/2013 (B2341) Engineering K Czech Ostrava 2 Optional study plan
2010/2011 (B2341) Engineering P Czech Ostrava 1 Optional study plan
2010/2011 (B2341) Engineering P Czech Šumperk 1 Optional study plan
2009/2010 (B2341) Engineering P Czech Ostrava 1 Optional study plan
2008/2009 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Šumperk 1 Optional study plan
2008/2009 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Ostrava 1 Optional study plan
2007/2008 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Šumperk 1 Optional study plan
2007/2008 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Ostrava 1 Optional study plan
2006/2007 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Šumperk 1 Optional study plan
2006/2007 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Ostrava 1 Optional study plan
2005/2006 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Šumperk 1 Optional study plan
2005/2006 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Ostrava 1 Optional study plan
2004/2005 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Ostrava 1 Optional study plan
2003/2004 (B2341) Engineering (2341R888) Mechanical Engineering /not obligatory subject (70) Volitelné předměty P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner