714-0333/04 – Compendium of Mathematics IV (RzMIV)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantordoc. RNDr. Jarmila Doležalová, CSc.Subject version guarantordoc. RNDr. Jarmila Doležalová, CSc.
Study levelundergraduate or graduateRequirementOptional
Year1Semestersummer
Study languageCzech
Year of introduction2014/2015Year of cancellation2019/2020
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
Part-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

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Other requirements

At the end of each exercise will be given examples to practice . Their accuracy will be verified at the beginning of the next exercise.

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 9-10 Line integral 11-12 Infinite series 13-14 Reserve

Conditions for subject completion

Part-time form (validity from: 2014/2015 Summer semester, validity until: 2019/2020 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)		Min. number of pointsMax. počet pokusů
Exercises evaluation Credit   3
Mandatory attendence participation:

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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
2018/2019 (N2301) Mechanical Engineering (3901T003) Applied Mechanics K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (6208T116) Industrial Engineering K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2302T006) Energy Engineering K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport K Czech Ostrava 1 Optional study plan
2018/2019 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2302T006) Energy Engineering K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (6208T116) Industrial Engineering K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (3901T003) Applied Mechanics K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport K Czech Ostrava 1 Optional study plan
2017/2018 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2302T006) Energy Engineering K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (6208T116) Industrial Engineering K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Optional study plan
2016/2017 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2302T006) Energy Engineering K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (10) Technological management K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (20) Mechanical Engineering Technology K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport K Czech Ostrava 1 Optional study plan
2015/2016 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (20) Mechanical Engineering Technology K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2303T002) Mechanical Engineering Technology (10) Technological management K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2302T006) Energy Engineering K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (10) Rail Transport K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (20) Road Transport K Czech Ostrava 1 Optional study plan
2014/2015 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2015/2016 Summer
2014/2015 Summer