# 470-2101/01 – Principles of Mathematics (ZMA)

 Gurantor department Department of Applied Mathematics Credits 2 Subject guarantor RNDr. Pavel Jahoda, Ph.D. Subject version guarantor RNDr. Pavel Jahoda, Ph.D. Study level undergraduate or graduate Requirement Choice-compulsory type B Year 1 Semester winter Study language Czech Year of introduction 2010/2011 Year of cancellation Intended for the faculties FEI, FS Intended for study types Bachelor
Instruction secured by
JAH02 RNDr. Pavel Jahoda, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2
Part-time Credit 0+8

### Subject aims expressed by acquired skills and competences

Student gets the bysic knowledges and skills which are neresary for further studies at VSB-TUO during the course. Students are able to evaluate the truth value of the logical statement, explain the difference between the basic numeric sets, edit the algebraic expression to describe the properties of functions, their domains, to quantify the functional values of elementary functions in the notable points and draw the graphs of these functions. In addition, the student is able to solve linear, quadratic, exponential, logarithmic and trigonometric equations and inequalities and to use this skills to solve elementary problems of analytic geometry.

Tutorials

### Summary

Precalculus is an advanced form of secondary school algebra. Precalculus are intended to prepare students for the study of calculus and includes a review of algebra and trigonometry, as well as an introduction to exponential, logarithmic and trigonometric functions, vectors, complex numbers and analytic geometry.

### Compulsory literature:

R. G. Brown, D. P. Robbins: Advanced Mathematics (A Precalculus Course), Houghton Mifflin Comp., Boston 1989. Libor Šindel: Principles of mathematics (The text is in electronic form).

### Recommended literature:

Richard G. Brown, David P. Robbins, Advanced Mathematics a precalculus course

### Way of continuous check of knowledge in the course of semester

Students will be continuously addressed examples to practice. A condition for granting credit is an active participation in seminars and passing the final test.

### Other requirements

Students will be continuously addressed examples to practice. A condition for granting credit is an active participation in seminars and passing the final test.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

Exercises: Mathematical logic and set theory. Number domains. Algebraic expressions. Functions and their properties. Exponential, logarithmic and trigonometric functions. Equation and inequalities. Analytic geometry.

### Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Min. number of pointsMax. počet pokusů
Exercises evaluation Credit 30  15 3
Mandatory attendence participation: Participation at all excercises is obligatory, two apologies are accepted.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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### Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Choice-compulsory type B study plan
2024/2025 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Optional study plan
2024/2025 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0714A060012) Applied Electronics P Czech Ostrava 1 Optional study plan
2024/2025 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Optional study plan
2024/2025 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Optional study plan
2024/2025 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Optional study plan
2024/2025 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Optional study plan
2024/2025 (B0714A060023) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Optional study plan
2023/2024 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Optional study plan
2023/2024 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Optional study plan
2023/2024 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Choice-compulsory type B study plan
2023/2024 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Optional study plan
2023/2024 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Optional study plan
2023/2024 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060012) Applied Electronics P Czech Ostrava 1 Optional study plan
2023/2024 (B0714A060023) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Optional study plan
2022/2023 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Optional study plan
2022/2023 (B0714A060012) Applied Electronics P Czech Ostrava 1 Optional study plan
2022/2023 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Choice-compulsory type B study plan
2022/2023 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Optional study plan
2022/2023 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Optional study plan
2022/2023 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Optional study plan
2022/2023 (B0714A060023) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Optional study plan
2021/2022 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Choice-compulsory type B study plan
2021/2022 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Optional study plan
2021/2022 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Optional study plan
2021/2022 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Optional study plan
2021/2022 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060012) Applied Electronics P Czech Ostrava 1 Optional study plan
2021/2022 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Optional study plan
2021/2022 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2021/2022 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Optional study plan
2020/2021 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Optional study plan
2020/2021 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Optional study plan
2020/2021 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Choice-compulsory type B study plan
2020/2021 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Optional study plan
2020/2021 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Optional study plan
2020/2021 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060012) Applied Electronics P Czech Ostrava 1 Optional study plan
2020/2021 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2020/2021 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2020/2021 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2020/2021 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Optional study plan
2019/2020 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2019/2020 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2019/2020 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2019/2020 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2019/2020 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Optional study plan
2019/2020 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Optional study plan
2019/2020 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Optional study plan
2019/2020 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Optional study plan
2019/2020 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Optional study plan
2019/2020 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Optional study plan
2019/2020 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Optional study plan
2019/2020 (B0714A060012) Applied Electronics P Czech Ostrava 1 Optional study plan
2019/2020 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A270002) Mechatronics P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A270002) Mechatronics K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2018/2019 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2018/2019 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2018/2019 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2017/2018 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2017/2018 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2016/2017 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2016/2017 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2016/2017 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2015/2016 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2015/2016 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2015/2016 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2015/2016 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2014/2015 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2014/2015 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2013/2014 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2013/2014 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2013/2014 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2013/2014 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2012/2013 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2012/2013 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2647) Information and Communication Technology K Czech Ostrava 1 Optional study plan
2011/2012 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2011/2012 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2649) Electrical Engineering K Czech Ostrava 1 Optional study plan
2011/2012 (B2648) Designing of Electric Devices K Czech Ostrava 1 Optional study plan
2011/2012 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2010/2011 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2649) Electrical Engineering P Czech Ostrava 1 Optional study plan
2010/2011 (B2648) Designing of Electric Devices P Czech Ostrava 1 Optional study plan
2010/2011 (B2649) Electrical Engineering K Czech Ostrava 1 Optional study plan
2010/2011 (B2648) Designing of Electric Devices K 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 - K - cs 2020/2021 Part-time Czech Optional FS - Faculty of Mechanical Engineering stu. block