Available online
Description
The purpose of this film is to review some of the techniques of calculus which the student has already learned and to extend these ideas to the calculation of volumes.
The purpose of this film is to review some of the techniques of calculus which the student has already learned and to extend these ideas to the calculation of volumes.
| Module code and title: | M101, Mathematics: a foundation course |
|---|---|
| Item code: | M101; SS; 1987 |
| First transmission date: | 1987 |
| Original broadcast channel: | ntx |
| Published: | 1987 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:27:47 |
| + Show more... | |
| Producer: | Andrew Barker |
| Contributor: | Bob Coates |
| Publisher: | BBC Open University |
| Keyword(s): | Area; Calculus; Integral; Liquid in a petrol tanker; Volume; Volume of revolution |
| Footage description: | This summer school film is designed as a major component of a half day tutorial exercise for students at the mathematics foundation course summer school. Its purpose is to review some of the techniques of calculus that the student has already learned and to extend these ideas to the calculation of volumes. The film, comprising animation and models; is presented in three sections. Each section ends by posing problems to be solved either by the tutors or the students. The first section is concerned with areas and reviews the technique of taking, a series of thin vertical slices and setting up an integral. The second part shows how the technique can be changed into one in which the slices are horizontal and that this sometimes leads to an easier integral to be solved. In part 3 the film investigates the calculation of volumes. Firstly, it shows how a cone is a volume of revolution and how its volume can be worked out by considering it as a series of thin discs. Then it considers the measurement of the volume of liquid in a petrol tanker when only the depth of liquid is known. Finally, the film ends by asking the students to work out a method for calculating the volume of two unusual shapes. |
| Master spool number: | HOU5970 |
| Production number: | FOUM283N |
| Videofinder number: | 926 |
| Available to public: | no |
