Available online
Description
At 4.00am GMT next Christmas Day, the temperatures round the world will be quite surprising: there will be a pair of opposite points on the equator with equal temperatures. This was also true last ...Christmas Day and will be true at any time and date; it's a consequence of the Intermediate Value Theorem. (IVT) Several models and animations are used to establish this and other surprising results. For example, have you ever tried setting a picnic table on an uneven lawn? You can stop the table rocking merely-by twisting it through a small angle: the IVT again. Further animations carefully detail the proof of the IVT, highlighting the fundamental concepts of Continuity and the Monotone Convergence Theorem. (This programme was re-edited in 1995 as FOUM478N)
At 4.00am GMT next Christmas Day, the temperatures round the world will be quite surprising: there will be a pair of opposite points on the equator with equal temperatures. This was also true last ...Christmas Day and will be true at any time and date; it's a consequence of the Intermediate Value Theorem. (IVT) Several models and animations are used to establish this and other surprising results. For example, have you ever tried setting a picnic table on an uneven lawn? You can stop the table rocking merely-by twisting it through a small angle: the IVT again. Further animations carefully detail the proof of the IVT, highlighting the fundamental concepts of Continuity and the Monotone Convergence Theorem. (This programme was re-edited in 1995 as FOUM478N)
| Module code and title: | M203, Introduction to pure mathematics |
|---|---|
| Item code: | M203; 04A; 1986 |
| First transmission date: | 10-05-1987 |
| Published: | 1986 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:26 |
| + Show more... | |
| Producer: | Jack Koumi |
| Contributors: | Roy Nelson; Robin Wilson |
| Publisher: | BBC Open University |
| Keyword(s): | Animations; Difference function; G minus H; Monotone Convergence Theorem; Null sequence; Pancakes; Sugar; Table rocking |
| Subject terms: | Functions of several real variables; Graph theory; Mathematics; Monotonic functions |
| Master spool number: | HOU5524 |
| Production number: | FOUM259E |
| Videofinder number: | 2280 |
| Available to public: | no |
