310-2114/01 – Compendium of Mathematics I (RzMI)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantorRNDr. Jan Kotůlek, Ph.D.Subject version guarantorRNDr. Jan Kotůlek, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
JAH0037 Mgr. Monika Jahodová, Ph.D.
KOT31 RNDr. Jan Kotůlek, Ph.D.
MUL0086 RNDr. PhDr. Ivo Müller, Ph.D.
RIE0053 Mgr. Tomáš Riemel
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+1
Part-time Credit 0+6

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 R., Reynolds J: Calculus with Applications, D.C. Heath and Company 1990

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Jde o nepovinný předmět, další požadavky nejsou.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Repetition of the crucial topics from Mathematics I. real functions, calculus, linear algebra and analytic geometry

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit   3
        Exam in Mathematics 1 Written test   1
Mandatory attendence participation: 80%

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Conditions for subject completion and attendance at the exercises within ISP: Submission of 5 sheets with homework into the LMS moodle, attendace is not required.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Optional study plan
2024/2025 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Optional study plan
2024/2025 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Optional study plan
2024/2025 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Optional study plan
2024/2025 (B0715A270011) Engineering P Czech Šumperk 1 Optional study plan
2024/2025 (B0715A270011) Engineering K Czech Uherský Brod 1 Optional study plan
2024/2025 (B0715A270011) Engineering K Czech Šumperk 1 Optional study plan
2024/2025 (B0715A270011) Engineering P Czech Ostrava 1 Optional study plan
2024/2025 (B0715A270011) Engineering K Czech Ostrava 1 Optional study plan
2023/2024 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Optional study plan
2023/2024 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Optional study plan
2023/2024 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Optional study plan
2023/2024 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Optional study plan
2023/2024 (B0715A270011) Engineering P Czech Ostrava 1 Optional study plan
2023/2024 (B0715A270011) Engineering K Czech Ostrava 1 Optional study plan
2023/2024 (B0715A270011) Engineering P Czech Šumperk 1 Optional study plan
2023/2024 (B0715A270011) Engineering K Czech Šumperk 1 Optional study plan
2023/2024 (B0715A270011) Engineering K Czech Uherský Brod 1 Optional study plan
2022/2023 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Optional study plan
2022/2023 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Optional study plan
2022/2023 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Optional study plan
2022/2023 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Optional study plan
2022/2023 (B0715A270011) Engineering P Czech Ostrava 1 Optional study plan
2022/2023 (B0715A270011) Engineering K Czech Ostrava 1 Optional study plan
2022/2023 (B0715A270011) Engineering P Czech Šumperk 1 Optional study plan
2022/2023 (B0715A270011) Engineering K Czech Šumperk 1 Optional study plan
2022/2023 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Optional study plan
2022/2023 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Optional study plan
2022/2023 (B3907) Energetics (3907R012) Energetics of the 21st Century K Czech Ostrava 1 Optional study plan
2022/2023 (B0715A270011) Engineering K Czech Uherský Brod 1 Optional study plan
2021/2022 (B0715A270011) Engineering K Czech Ostrava 1 Optional study plan
2021/2022 (B0715A270011) Engineering K Czech Uherský Brod 1 Optional study plan
2021/2022 (B0715A270011) Engineering P Czech Ostrava 1 Optional study plan
2021/2022 (B0715A270011) Engineering P Czech Šumperk 1 Optional study plan
2021/2022 (B0715A270011) Engineering K Czech Šumperk 1 Optional study plan
2021/2022 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Optional study plan
2021/2022 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Optional study plan
2021/2022 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Optional study plan
2021/2022 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Optional study plan
2021/2022 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Optional study plan
2021/2022 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Optional study plan
2021/2022 (B3907) Energetics (3907R012) Energetics of the 21st Century K Czech Ostrava 1 Optional study plan
2020/2021 (B0715A270011) Engineering P Czech Ostrava 1 Optional study plan
2020/2021 (B0715A270011) Engineering K Czech Ostrava 1 Optional study plan
2020/2021 (B0715A270011) Engineering K Czech Šumperk 1 Optional study plan
2020/2021 (B0715A270011) Engineering K Czech Uherský Brod 1 Optional study plan
2020/2021 (B0715A270011) Engineering P Czech Šumperk 1 Optional study plan
2020/2021 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Optional study plan
2020/2021 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Optional study plan
2020/2021 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Optional study plan
2020/2021 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Optional study plan
2020/2021 (B3907) Energetics (3907R012) Energetics of the 21st Century K Czech Ostrava 1 Optional study plan
2020/2021 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Optional study plan
2020/2021 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Optional study plan
2019/2020 (B2341) Engineering P Czech Ostrava 1 Optional study plan
2019/2020 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Optional study plan
2019/2020 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Optional study plan
2019/2020 (B2341) Engineering K Czech Ostrava 1 Optional study plan
2019/2020 (B3907) Energetics (3907R012) Energetics of the 21st Century K Czech Ostrava 1 Optional study plan
2019/2020 (B0715A270011) Engineering P Czech Ostrava 1 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Ostrava 1 Optional study plan
2019/2020 (B0715A270011) Engineering P Czech Šumperk 1 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Šumperk 1 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Uherský Brod 1 Optional study plan
2019/2020 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Optional study plan
2019/2020 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Optional study plan
2019/2020 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Optional study plan
2019/2020 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - FS - P - cs 2020/2021 Full-time Czech Optional FS - Faculty of Mechanical Engineering stu. block

Assessment of instruction



2022/2023 Summer
2021/2022 Summer
2020/2021 Summer
2019/2020 Summer