video record
Media not available in the Digital Archive
In this programme a new definition of the scale factor is arrived at and used to give a derived function. A computer animation sequence shows how a derived function is plotted on a graph.
Metadata describing this Open University video programme
Module code and title: M101, Mathematics: a foundation course
Item code: M101; 11
First transmission date: 07-05-1978
Published: 1978
Rights Statement:
Restrictions on use:
Duration: 00:24:22
+ Show more...
Producer: Jean Nunn
Contributors: Graham Read; Colin Rourke; Allan I.,1936-2013 Solomon
Publisher: BBC Open University
Keyword(s): Calculus; Converge; Differentiation; Scale factors; Slope; Tangent; Trigonometry; Chord
Footage description: From Block II of the course the students have learnt how the scale factor at a point controls or expands errors under a given function. But working out scale factors for some functions such as sin x,is a problem. In this programme, the first in the Calculus Block, Allan Solomon and Colin Rourke show how the definition of the scale factor, together with the idea of the limit of a sequence of values can be used to define the derivative at a point of a function. This derivative can be interpreted as the slope of the tangent at that point to the curve of the function. What happens if you look at the derivatives at every point of a curve? Allan Solomon and Graham Read demonstrate how this produces the derived function and show, with computer animations, the generation of derived functions for some familiar curves (including sin x). In the post programme work students are lead through the formal definitions involved to the algebraic techniques of differentiation.
Master spool number: 6HT/72486
Production number: 00525_4248
Videofinder number: 2464
Available to public: no