714-0201/02 – Mathematics I (M1dlouha)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |
| Subject guarantor | doc. RNDr. Pavel Kreml, CSc. | Subject version guarantor | Fiktivní Uživatel |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 1999/2000 | Year of cancellation | 2004/2005 |
| Intended for the faculties | FAST | Intended for study types | Master |
Subject aims expressed by acquired skills and competences
This course is closed.
Teaching methods
Summary
Differential calculus of function of one real independent variable: function of
one variable, elementary functions (polynomial, rational, exponential,
logarithmic, trigonometric and circular), limit and continuity of a function,
number e, differentiation, techniques of differentiation, differential of a
function, Taylor’s theorem, Taylor and Maclaurin polynomials, Rolle’s theorem,
the mean value theorem of the differential calculus, extreme values of
function, point of inflection, convex and concave function, L’Hospital’s rule.
Linear algebra: vector spaces, determinants, matrices, systems of linear
equations.
Compulsory literature:
Burda, P. a kol.: Matematika I, skripta VŠB
Dobrovská, V. - Stach, K.: Matematika II, skripta VŠB
Láníček,J. a kol.: Cvičení z matematiky I, skripta VŠB
Dobrovská,V. a kol.: Cvičení z matematiky II, skripta VŠB
Škrášek,J. a kol.: Základy aplikované matematiky I, SNTL Praha, 1986
Recommended literature:
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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