230-0400/01 – Basics of Mathematics (ZM)

Gurantor departmentDepartment of MathematicsCredits2
Subject guarantorMgr. Dagmar Dlouhá, Ph.D.Subject version guarantorMgr. Dagmar Dlouhá, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DLO44 Mgr. Dagmar Dlouhá, Ph.D.
DUB02 RNDr. Viktor Dubovský, Ph.D.
JAR71 Mgr. Marcela Jarošová
URB0186 RNDr. Zbyněk Urban, Ph.D.
VOL18 RNDr. Jana Volná, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 0+2

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

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.

Compulsory literature:

Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875 Harshbarger, R.J., Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1 http://www.studopory.vsb.cz/studijnimaterialy/Zaklady_matematiky/zm.pdf

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Tests and credits ================= Conditions for obtaining credit points (CP): - participation in exercises, 20% can be to apologize, - successful passing of the test in secondary school mathematics, minimun 51 points, - student can ask for writing of the test during semester.

E-learning

Další požadavky na studenta

There are no other requests.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Week. Tutorial 1st Functions: properties, domain, linear, quadratic, cubic, irrational and rational functions. 2nd Exponential and logarithmic functions. Evaluation of logarithms. Exponential equations and inequalities. 3rd Goniometric functions, their graphs and values. Trigonometric equations and inequalities. 4th Mathematical logic: constants, variables, statements and operations. 5th Set theory: types of sets, operations with sets, sets of numbers, intervals. 6th Algebraic expressions: polynomials, fractions, powers, roots. 7th Equations: linear, linear with parameters, quadratic, irrational, systems of two linear equations. 8th Inequalities: linear, quadratic, systems. 9th Absolutní value: geometric interpretation, equations and inequalities. 10th Basics of analytical geometry: vectors, lines, circle, determination of the center and radius. 11th Elipsis, hyperbole, parabole: determination of parameters. 12th Sequences and series. 13th Complex numbers. 14th Tests and credits.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100 (100) 51
        Written test Written test 100  51
Mandatory attendence parzicipation: 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).

Show history

Occurrence in study plans

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2019/2020 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy P Czech Most 1 Compulsory study plan
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2019/2020 (B0724A290001) Mining of Mineral Resources P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2111) Mining (2101R013) Mining of Mineral Resources and Their Utilization P Czech Ostrava 1 Compulsory study plan
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2019/2020 (B1088A330001) Geoscience and Industrial Tourism P Czech Most 1 Optional study plan
2019/2020 (B1088A330001) Geoscience and Industrial Tourism P Czech Ostrava 1 Optional study plan
2019/2020 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B3646) Geodesy and Cartography (3646R001) Mining Surveying P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0712A290001) Waste Management and Mineral Processing P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner