714-0333/01 – Compendium of Mathematics IV (RzMIV)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits0
Subject guarantordoc. RNDr. Jarmila Doležalová, CSc.Subject version guarantordoc. RNDr. Jarmila Doležalová, CSc.
Study levelundergraduate or graduateRequirementOptional
Year1Semestersummer
Study languageCzech
Year of introduction2006/2007Year of cancellation2013/2014
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
DOL30 doc. RNDr. Jarmila Doležalová, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2

Subject aims expressed by acquired skills and competences

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.

Teaching methods

Individual consultations
Tutorials
Other activities

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.

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.

E-learning

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

Other requirements

No additional requirements are.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation Credit   3
Mandatory attendence participation:

Show history

Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2013/2014 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (20) Mechanical Engineering Technology P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (40) Air Transport P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2302T006) Energy Engineering P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (10) Technological management P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Optional study plan
2013/2014 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (20) Mechanical Engineering Technology P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (10) Technological management P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2302T006) Energy Engineering P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (40) Air Transport P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Optional study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (40) Air Transport P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (20) Mechanical Engineering Technology P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (10) Technological management P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (2302T006) Energy Engineering P Czech Ostrava 1 Optional study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (2302T006) Energy Engineering P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology P Czech Ostrava 1 Optional study plan
2010/2011 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (10) Technological management P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (2302T006) Energy Engineering P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 1 Optional study plan
2009/2010 (N2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 1 Optional study plan
2008/2009 (N2301) Mechanical Engineering (2301T888) Volitelné předměty navazujícího studia P Czech Ostrava 1 Optional study plan
2007/2008 (N2301) Mechanical Engineering (2301T888) Volitelné předměty navazujícího studia P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2013/2014 Summer