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Hunting the Hump: Partial Differentiation

Synopsis
Looks at where the peaks and troughs are to be found on a surface corresponding to a function of two variables. Explores the function f(x,y)=xy(1-x2-y2). The general shape of the surface can be observed, the but exact position of the maxima and minima is elusive. Partial differentiation provides the key and application of the stationary point criterion locates the nine stationary points, two of which are maxima, two minima, and the remainder neither. They are examples of saddle points, and some saddle-point behaviour is illustrated.
Series
Mathematical Models and Methods, Course Mst204
Language
English
Country
Great Britain
Medium
Video; Videocassette. Standard formats. col. 24 min.
Year of production
1982
Availability
OUT OF DISTRIBUTION
Subjects
Mathematics
Keywords
algebra; differential equations; surfaces

Production Company

Name

BBC Open University Productions

Distributor

Name

Open University Worldwide

Web
http://www.ouw.co.uk External site opens in new window
Phone
+44 (0) 1908 274066
Address
Walton Hall
Milton Keynes
MK7 6AA
Notes
NB. As of May 2016 Open University Worldwide are no longer distributing DVDs. They have posted this message on their website: ‘Unfortunately Open University Worldwide Limited has decided that product sales are no longer viable given the reduced funding to Higher Education institutions and diminishing demand for the products we have traditionally stocked. At present the Open University Students Association (OUSA) will continue to sell the "Good Study Guide", and we are in discussion with other possible distributors to continue to make The Open University’s products available for purchase. As soon as we have any information on other channels of distribution we will update this notice’. Some products are still available via second hand dealers on Amazon.co.uk

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