714-0560/02 – Mathematics for Bachelors I ()

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantorRNDr. Radoslava HradeckáSubject version guarantorFiktivní Uživatel
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2001/2002Year of cancellation2004/2005
Intended for the facultiesHGFIntended for study typesBachelor
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit and Examination 30+0

Subject aims expressed by acquired skills and competences

Teaching methods

Summary

The function of one real variable. The limit of a function, the continuity of a function. The derivation of the function of one variable. Derivations of higher orders. Monotony, local extremes, convexity, concavity, inflexion, asymptotes. The derivation of a parametrically defined function. Linear algebra. Determinants. Arithmetic vectors, operations. Matrices, the rank of a matrix, operations with matrices. Systems of linear algebraic equations. Solid analytic geometry. Geometric vectors. The scalar, vector, triple products and their applications. Analytical expressions of a plane and a line in space. Integral calculus. The primitive function and the indefinite integral of the function of one real variable, basic integration methods – substitution, by parts. The definite integral, applications. The differential calculus of functions of two variables. The domain of definition. Partial derivations of the first and higher orders. Extremes of functions of two variables. Implicitly defined functions. Ordinary differential equations. 1st order differential equations, kinds of solution. Separable, homogenous and linear equations. 2nd order linear equations with constant coefficients.

Compulsory literature:

Recommended literature:

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:

Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2001/2002 (B3908) Požární ochrana a průmyslová bezpečnost (3908R003) Havarijní plánování a krizové řízení K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner