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That is, I think the author of the question is spot on to the current state in mathematics education. I have a firmly held thought that within twenty years no mainstream calculus text will contain a chapter on “techniques of integration”. The wide availability of computer algebra systems have made those topics obsolete for the most part. (Of course they will be great topics for Mathematics Education courses and courses in the History of Mathematics.) That is, I think the author of the question is spot on to the current state in mathematics education. I have a firmly held thought that within twenty years no mainstream calculus text will contain a chapter on “techniques of integration”. The wide availability of computer algebra systems have made those topics obsolete for the most part. (Of course they will be great topics for Mathematics Education courses and courses in the History of Mathematics.) Obsolete, hardly. There are many integrals that would require trigonometric/hyperbolic substitution that can't be solved using a geometric interpretation. And the use of a CAS in those situations is just plain lazy and irresponsible. How would they be programmed in future if everyone thought the method of solution was "obsolete"? That is, I think the author of the question is spot on to the current state in mathematics education. I have a firmly held thought that within twenty years no mainstream calculus text will contain a chapter on “techniques of integration”. The wide availability of computer algebra systems have made those topics obsolete for the most part. (Of course they will be great topics for Mathematics Education courses and courses in the History of Mathematics.) I think in what passes for the real world they have been out of date for far longer. In fields that actually use such integrals it has been virtually universal practice to look them up in tables since before I started work outside of a university in the late 70's.


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Cheap, the high cost of discount culture

Cheap, the high cost of discount culture

An Atlantic correspondent evaluates America's penchant for making and buying cheap products while assessing the true economic, political, and psychological ...

Missouri, The Show Me State

Missouri, The Show Me State


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Introduces the geography, history, people, economy, and environment of Missouri.

The Handbook of Loan Syndications and Trading

The Handbook of Loan Syndications and Trading

The Handbook of Loan Syndications and Trading is the first resource especially designed to equip institutional investors and professional money managers with ...

Missouri

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"Provides comprehensive information on the geography, history, wildlife, governmental structure, economy, cultural diversity, peoples, religion, and landmarks ...