Available online
Description
This programme uses a wide variety of 3D models and animated diagrams to relate the double integral to the repeated integral. The double integral over a rectangular region is first defined as a vol...ume, and its properties are discussed. The definition of the repeated integral is then illustrated geometrically and the equality of the two integrals is shown to be plausible, using a geometric argument. Then the major section of the programme is a rigorous proof of equality, using several models and animations. Finally, a repeated integral is evaluated over a triangular region.
This programme uses a wide variety of 3D models and animated diagrams to relate the double integral to the repeated integral. The double integral over a rectangular region is first defined as a vol...ume, and its properties are discussed. The definition of the repeated integral is then illustrated geometrically and the equality of the two integrals is shown to be plausible, using a geometric argument. Then the major section of the programme is a rigorous proof of equality, using several models and animations. Finally, a repeated integral is evaluated over a triangular region.
| Module code and title: | M203, Introduction to pure mathematics |
|---|---|
| Item code: | M203; 28 |
| First transmission date: | 1980 |
| Published: | 1980 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:34 |
| + Show more... | |
| Producer: | Jack Koumi |
| Contributors: | Timothy R. Lister; Peter Strain-Clark |
| Publisher: | BBC Open University |
| Keyword(s): | 3D Models; Animated Diagrams; Volume |
| Master spool number: | HOU3257 |
| Production number: | FOUM062J |
| Videofinder number: | 4106 |
| Available to public: | no |
