# 714-0560/01 – Mathematics for Bachelors I ()

 Gurantor department Department of Mathematics and Descriptive Geometry Credits 4 Subject guarantor RNDr. Radoslava Hradecká Subject version guarantor RNDr. Radoslava Hradecká Study level undergraduate or graduate Requirement Compulsory Year 1 Semester winter Study language Czech Year of introduction 2001/2002 Year of cancellation 2004/2005 Intended for the faculties HGF Intended for study types Bachelor
Instruction secured by
JED20 Mgr. Lumír Jedelský
S1E60 RNDr.Ing. Zdeněk Ševčík, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

### 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.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (145) 51 3
Examination Examination 100  0 3
Exercises evaluation Credit 45  0 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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### Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2003/2004 (B2102) Mineral Raw Materials (6209R013) Information and System Management P Czech Ostrava 1 Compulsory study plan
2002/2003 (B2102) Mineral Raw Materials (6209R013) Information and System Management P Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

### Assessment of instruction

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