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

Gurantor department	Department of Mathematics and Descriptive Geometry	Credits	2
Subject guarantor	Mgr. Monika Jahodová, Ph.D.	Subject version guarantor	Mgr. Monika Jahodová, Ph.D.
Study level	undergraduate or graduate	Requirement	Optional
Year	1	Semester	winter
		Study language	Czech
Year of introduction	2021/2022	Year of cancellation
Intended for the faculties	FMT, FS	Intended for study types	Bachelor

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
JAH0037	Mgr. Monika Jahodová, Ph.D.
KOT31	RNDr. Jan Kotůlek, Ph.D.
KRC76	Mgr. Jiří Krček, Ph.D.
LAM0028	RNDr. Alžběta Lampartová
MUL0086	RNDr. PhDr. Ivo Müller, Ph.D.

Extent of instruction for forms of study
Form of study	Way 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

Additional study materials

Study supports in the EduDocs system

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

Part-time form (validity from: 2021/2022 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Credit	Credit			3

Valid from	Valid until	Mandatory attendence participation
May 11, 2021 11:10:42 AM	Feb 14, 2023 1:57:40 PM	80%

Mandatory attendence participation: The lessons are optional.

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Conditions for subject completion and attendance at the exercises within ISP: Compulsory participation in tests.

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Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Year	Type of duty
2025/2026	(B0212A270003) Industrial Design		P	Czech	Ostrava	3	Optional	study plan
2025/2026	(B0713A070002) Energetics and Environments		K	Czech	Ostrava	1	Optional	study plan
2025/2026	(B0713A070002) Energetics and Environments		P	Czech	Ostrava	1	Optional	study plan
2025/2026	(B0715A040001) Transport Systems and Equipment		K	Czech	Ostrava	1	Optional	study plan
2025/2026	(B0715A040001) Transport Systems and Equipment		P	Czech	Ostrava	1	Optional	study plan
2025/2026	(B0715A270011) Engineering		P	Czech	Ostrava	1	Optional	study plan
2025/2026	(B0715A270011) Engineering		K	Czech	Šumperk	1	Optional	study plan
2025/2026	(B0715A270011) Engineering		P	Czech	Šumperk	1	Optional	study plan
2025/2026	(B0715A270011) Engineering		K	Czech	Uherský Brod	1	Optional	study plan
2025/2026	(B0715A270011) Engineering		K	Czech	Ostrava	1	Optional	study plan
2025/2026	(B1041A040008) Intelligent transport and logistics		K	Czech	Ostrava	1	Choice-compulsory type B	study plan
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
2024/2025	(B0212A270003) Industrial Design		P	Czech	Ostrava	3	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

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Assessment of instruction