Classroom note: Sawtooth functions
Hirst, Keith (2004) Classroom note: Sawtooth functions. International Journal of Mathematical Education in Science and Technology, 35, (5), 122-126. (doi:10.1080/00207390310001615606).
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Using MAPLE enables students to consider many examples which would be very tedious to work out by hand. This applies to graph plotting as well as to algebraic manipulation. The challenge is to use these observations to develop the students' understanding of mathematical concepts. In this note an interesting relationship arising from inverse trigonometric functions is analysed. To understand what is going on students have to develop an understanding of how to deal with inverses where a function is not 1-1, by restricting the domain. The piece of work developed here also provides some interesting exercises in proof by induction.
|Subjects:||Q Science > QA Mathematics
L Education > L Education (General)
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||12 May 2006|
|Last Modified:||02 Mar 2012 12:47|
|Contact Email Address:||K.E.Hirst@maths.soton.ac.uk|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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