310-2110/04 – Basics of Mathematics (ZM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits2
Subject guarantorMgr. Monika Jahodová, Ph.D.Subject version guarantorMgr. Monika Jahodová, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semesterwinter
Study languageCzech
Year of introduction2021/2022Year of cancellation
Intended for the facultiesFS, FMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
JAH0037 Mgr. Monika Jahodová, Ph.D.
KOT31 RNDr. Jan Kotůlek, Ph.D.
LAM0028 RNDr. Alžběta Lampartová
MUL0086 RNDr. PhDr. Ivo Müller, 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

The set of real numbers, operations with algebraic expressions, equations and inequalities, functions, exponential and logarithmic equations, trigonometric functions and equations, analytic geometry, arithmetic and geometric sequences.

Teaching methods

Seminars
Tutorials
Other activities

Summary

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.

Compulsory literature:

[1] BIRD, J.: Engineering Mathematics, 4th ed. Newnes 2003. [2] https://www.khanacademy.org/math/ Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1

Recommended literature:

http://education-portal.com/academy/course/precalculus-course.html

Way of continuous check of knowledge in the course of semester

Credit is given to those students who reach at least 51 points (out of 100) in the final test.

E-learning

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

Other requirements

Compulsory attendance or activity assigned by the teacher.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Numeracy. Computation wit rational and irrational numbers, intervals, operations on intervals (intersection, union, complement), absolute value of real numbers. 2-3. Polynomials and rational expressions, computation with powers and roots. Simplification of the expressions. 4-5. Linear and quadratic equations and inequalities. 6. Exponentiation with integer, whole and rational powers. Power and exponential functions. 7. Introduction to logarithms. 8. Trigonometry, sine, cosine and tangent functions as ratios between edges of a right triangle, definition by means of the unit circle. Oriented angles, their measures in degrees and radians. 9. Algebraic expressions containing elementary functions. 10. Sequences, their limits and sums. Arithmetic and geometric sequences. 11-12. Analytic geometry in a geometric plane: coordinates of a point and vector, line (equation and graph), metric properties in the plane. 13. The conic sections, their properties, and equations.

Conditions for subject completion

Full-time form (validity from: 2021/2022 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit   3
Mandatory attendence participation: Lessons are obligatory, 20% absence can be excused.

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Conditions for subject completion and attendance at the exercises within ISP: Compulsory participation in tests, participation in exercises can be replaced by solving homework.

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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 (B0788P270002) Innovation and design of medical devices P Czech Ostrava 1 Compulsory 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 (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

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Winter
2022/2023 Winter
2021/2022 Winter