Mathematics and the Real World (8 Parts)

Synopsis

Part 1 MATHEMATICS AND MODELLING - Shows models ranging from the one-line slogan to graphical models. Develops understanding of modelling using mathematical models for safe driving distance, and then formally.
Part 2 MODELLING TRAFFIC LIGHTS - Discusses how to maximise traffic flow through an intersection controlled by lights. The model and its solution are developed through descriptive, tabular, algebraic and graphical approaches. Uses practical iterative/series methods of solution.
Part 3 SYMBOLISATION - Discusses the use of appropriate symbolisation.
Part 4 MATHEMATICAL TOOLS FOR INDUSTRY - Looks at newer areas of mathematical thinking required by industry. These include an understanding of the implications of number theory in fast computing processes inclulding parallel processing, logic in artificial intelligence advances, and critical analysis techniques.
Part 5 LOOKING AT ALTERNATICES - Discusses the ‘best path’ type of problems, including problems where the triangle rule is not satisfied and where the ‘length of path’ is negative. Dijkstra’s algorithm is used to solve a problem.
Part 6 MAKING THE BEST OF THINGS - Linear programming, optimising expressions, is a central mathematical technique in industry and comerce. The complexity, for example the number of variables involved, increases the difficulty enormously compared with the simple methods used in schools.
Part 7 STABILITY AND CHAOS - Explores some of the mathematical ideas underlying the concept of chaos. Looks at Mandelbrot sets.
Part 8 MAKING YOUR MATHEMATICS EFFECTIVE - Discusses qualities of mathematics graduates: flexibility, team skills, persistance and reliability.

Language

English

Country

Great Britain

Medium

Video; Videocassette. VHS. col. 8 x 30-40 min.

Year of production

1990

Availability

Sale

Documentation

Introductory notes containing advice on using the videos.

Uses

INSET - teachers of mathematics and physics at A level.

Subjects

Mathematics

Keywords

artificial intelligence; chaos theory; mathematical modelling

Credits

Cast

Graham McCauley
Hugh Burkhardt
Ray Peacock
Simon French

Distributor

Name

Aston University, Centre for Extension Education

Phone

0121-359 3611

Fax

0121-359 7358

Address

Birmingham
B4 7ET

Notes

contact: Diana Burkhardt