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This video is explicity referenced from the course text and the extracts contained form a part of the mainstream study of the text units of the course. Contains sequences filmed in primary and secondary...
Material intended as a course reader on video, to be used as a course enhancement. Begins with a presentation on the use of video material in mathematics education. Contains sequences mostly filmed in...
Rover Group has to keep tight financial control of all the various stages in both the development of the final design and the subsequent full production of any model. Until 1989, the computer system only...
Examines the equation ‘rate of change of angular momentum equals torque’. The most common application of a spinning body is in a gyroscope. Gyroscopes are demonstrated, freely spinning, weighted, and...
Constructs a funciton on the real line that is everywhere continuous, by nowhere differentiable, and other extraordinary functions, which are contructed and their connection with natural phenomena shown, as...
Understanding what is meant by an integer or fraction is easy enough, but how can we handle number like the square root of 2, or pi, or e, and how can we do arithmetic such on numbers or work out the answer...
The Victoria Falls and the whilrlpool at La Rance barrage in France are spectacular examples of flows. It turns out that for linear flows there are exactly 13 geometric varieties of flows that can occur, and...
Shows how mathematical induction is used to prove results involving natural numbers. Considers problems such as: if you joined up n points taken at random from around the edge of a circle, how many areas...
Takes the idea of a sequence of positive terms and develops it into the concepts of convergent and divergent terms.
One way to find the value of pi or e is by defining such numbers as the limits of monotonic sequences. The number p is the area of a disc with unit radius, but the area can be found without using p by...
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