230-0320/02 – Basics of mathematics (ZM)

Gurantor departmentDepartment of MathematicsCredits1
Subject guarantorRNDr. Jana Volná, Ph.D.Subject version guarantorMgr. Jakub Stryja, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semesterwinter
Study languageCzech
Year of introduction2020/2021Year of cancellation
Intended for the facultiesFBIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER365 doc. Ing. Martin Čermák, Ph.D.
JAR71 Mgr. Marcela Jarošová
PAL39 RNDr. Radomír Paláček, Ph.D.
STR78 Mgr. Jakub Stryja, Ph.D.
VOL18 RNDr. Jana Volná, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit 0+8

Subject aims expressed by acquired skills and competences

The subject aim is the repetition of the secondary school mathematics, balancing the knowledge of mathematics among students from different types of secondary schools.

Teaching methods

Tutorials

Summary

In this course, students will revise and consolidate their knowledge of the secondary school mathematics: sets, algebraic expressions. functions, their properties and graphs, equations and inequalities, analytic geometry.

Compulsory literature:

[1] Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875.

Recommended literature:

[1] Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1 [2] http://education-portal.com/academy/course/precalculus-course.html

Way of continuous check of knowledge in the course of semester

Participation in consultations, in case of absence student can elaborate additional project.

E-learning

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

Other requirements

There are no additional requirements.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Sets, set operations, sets of number, intervals. Algebraic expressions. 2. Functions: the function definition and the properties of functions. Graphs. 3. Functions: linear, quadratic. 4. Functions: power, rational. 5. Functions: exponential, logarithmic. 6. Trigonometric functions. 7. Equations: linear, quadratic. 8. Equations: with absolute value, irrational. 9. Exponential and logarithmic equations. 10. Trigonometric equations. 11. Inequalities. Domains of composite functions. 12. Analytic geometry in the plane I: point, vector, line (parametric form of equation of a line, general equation of a line, slope-intercept form of the equation of a line) 13. Analytic geometry in the plane II: Conic: circle, ellipse, hyperbola and parabola. 14. Reserve.

Conditions for subject completion

Part-time form (validity from: 2020/2021 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit   3
Mandatory attendence participation: At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

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

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (B1022A020001) Bezpečnost práce a procesů K Czech Ostrava 1 Optional study plan
2023/2024 (B1022A020001) Bezpečnost práce a procesů K Czech Praha 1 Optional study plan
2023/2024 (B1022A020001) Bezpečnost práce a procesů K Czech Lázně Bohdaneč 1 Optional study plan
2023/2024 (B1032A020009) Fire Protection Engineering and Industrial Safety K Czech Ostrava 1 Compulsory study plan
2023/2024 (B1032A020009) Fire Protection Engineering and Industrial Safety K Czech Praha 1 Compulsory study plan
2023/2024 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Lázně Bohdaneč 1 Optional study plan
2023/2024 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Praha 1 Optional study plan
2023/2024 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Ostrava 1 Optional study plan
2022/2023 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Lázně Bohdaneč 1 Optional study plan
2022/2023 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Ostrava 1 Optional study plan
2022/2023 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Praha 1 Optional study plan
2022/2023 (B1032A020009) Fire Protection Engineering and Industrial Safety K Czech Ostrava 1 Compulsory study plan
2022/2023 (B1032A020009) Fire Protection Engineering and Industrial Safety K Czech Praha 1 Compulsory study plan
2022/2023 (B1032A020007) Technická bezpečnost osob a majetku K Czech Ostrava 1 Choice-compulsory type B study plan
2022/2023 (B1022A020001) Bezpečnost práce a procesů K Czech Lázně Bohdaneč 1 Optional study plan
2022/2023 (B1022A020001) Bezpečnost práce a procesů K Czech Ostrava 1 Optional study plan
2022/2023 (B1022A020001) Bezpečnost práce a procesů K Czech Praha 1 Optional study plan
2022/2023 (B1032A020007) Technická bezpečnost osob a majetku K Czech Praha 1 Choice-compulsory type B study plan
2022/2023 (B1032A020007) Technická bezpečnost osob a majetku K Czech Lázně Bohdaneč 1 Choice-compulsory type B study plan
2021/2022 (B1032A020007) Technická bezpečnost osob a majetku K Czech Ostrava 1 Choice-compulsory type B study plan
2021/2022 (B1032A020007) Technická bezpečnost osob a majetku K Czech Lázně Bohdaneč 1 Choice-compulsory type B study plan
2021/2022 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Ostrava 1 Optional study plan
2021/2022 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Lázně Bohdaneč 1 Optional study plan
2021/2022 (B1022A020001) Bezpečnost práce a procesů K Czech Lázně Bohdaneč 1 Optional study plan
2021/2022 (B1022A020001) Bezpečnost práce a procesů K Czech Ostrava 1 Optional study plan
2020/2021 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Ostrava 1 Optional study plan
2020/2021 (B1032A020008) Ochrana obyvatestva a krizový management K Czech Lázně Bohdaneč 1 Optional study plan
2020/2021 (B1032A020007) Technická bezpečnost osob a majetku K Czech Ostrava 1 Choice-compulsory type B study plan
2020/2021 (B1032A020007) Technická bezpečnost osob a majetku K Czech Lázně Bohdaneč 1 Choice-compulsory type B study plan
2020/2021 (B1022A020001) Bezpečnost práce a procesů K Czech Ostrava 1 Optional study plan
2020/2021 (B1022A020001) Bezpečnost práce a procesů K Czech Lázně Bohdaneč 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2021/2022 Winter