714-0065/02 – Basic of Mathematics (ZM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantordoc. RNDr. Jarmila Doležalová, CSc.Subject version guarantordoc. RNDr. Jarmila Doležalová, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction1999/2000Year of cancellation2007/2008
Intended for the facultiesFBIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DOL30 doc. RNDr. Jarmila Doležalová, CSc.
PAV20 RNDr. Lubomír Pavelka, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Combined Credit 6+0
Distance Credit 6+0

Subject aims expressed by acquired skills and competences

This course is closed. 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

Lectures
Individual consultations
Tutorials
Other activities

Summary

Real and complex numbers, operations with algebraic expressions, equations and inequalities, functions, exponential and logarithmic equations, trigonometric equations, analytic geometry, arithmetic and geometric sequences.

Compulsory literature:

Harshbarger, R.J. - Reynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990. ISBN 0-669-21145-1

Recommended literature:

Středoškolské učebnice matematiky.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Funkce Vlastnosti, definiční obor, funkce lineární, kvadratická, kubická, iracionální, lomená. Exponenciální a logaritmické funkce. Pravidla pro logaritmování a odlogaritmování výrazů. Goniometrické funkce, jejich grafy a hodnoty. Úpravy algebraických výrazů mnohočleny, zlomky, mocniny, odmocniny. Rovnice lineární, kvadratické (i v oboru komplexních čísel), iracionální, soustavy dvou lineárních rovnic o dvou neznámých. Exponenciální rovnice a nerovnice. Goniometrické rovnice a nerovnice. Nerovnice lineární, v součinovém a podílovém tvaru (řešení pomocí nulových bodů), kvadratické, soustavy. Absolutní hodnota. Geometrický význam absolutní hodnoty. Rovnice a nerovnice s absolutní hodnotou (řešení pomocí nulových bodů).

Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation Credit 85 (85) 0
        Other task type Other task type 85  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2007/2008 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Praha 1 Compulsory study plan
2007/2008 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Most 1 Compulsory study plan
2006/2007 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Praha 1 Compulsory study plan
2006/2007 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Most 1 Compulsory study plan
2005/2006 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Praha 1 Compulsory study plan
2005/2006 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Ostrava 1 Compulsory study plan
2003/2004 (B3908) Fire Protection and Industrial Safety (3908R006) Fire Protection Engineering and Industrial Safety K Czech Ostrava 1 Compulsory study plan
2003/2004 (B3908) Fire Protection and Industrial Safety (3908R999) Společné studium FBI K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner