Publication details
O průměrech a jejich funkcionální charakterizaci
| Title in English | The rule of Simpson and teaching of mathematics |
|---|---|
| Authors | |
| Year of publication | 2006 |
| Type | Article in Proceedings |
| Conference | Acta mathematica 9, ed. PRÍRODOVEDEC, publ. č. 220 |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Volume of bodies; the rule of Simpson; definite integral. |
| Description | The article is aimed at the theory of teaching of Mathematics at secondary schools and universities. It contains possible use of Simpson s rule for counting of volumes of bodies of rotation. The simplest form of Simpson s rule is possible to be expressed by a formula V = (S1 + 4S + S2), where v is the altitude of the body, S1, S2 are areas of two surfaces and S is the area of the central section. The article contains the derivation of the formula and its usage in specifying of expressions for volumes of some bodies of rotation. |