Concerning Approximate Integration
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This chapter undertakes a brief critique of the treatment of approximate integration to be found in various high school text books, treatments which may well be inspired and guided by statements appearing in typical official syllabus notes (S2) alleging properties of the mid-ordinate and Simpson rules. The statements are (in my view at any rate) misleading as a consequence of the absence of numerous qualifiers. Not everybody agrees with this assessment. But I believe that, even if one leaves aside the issue concerning what is to be presented to students of these topics, it is essential that the teachers should be acquainted with a less misleading picture of the situation. Since convenient references presenting a more acceptable picture are difficult to locate, the major aim of this chapter is to illustrate the shortcomings of the statements and to suggest some more acceptable replacements.
KeywordsPolynomial Function Text Book Interval Size Side Condition Corrected Version
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