230 



SCIENCE 



[N. S. Vol. XXXIV. No. i 



undergraduate technical courses was made, 

 be found to agree closely with those pub- 

 lished formerly in the relative emphasis 

 placed on the various principles. Again 

 we find that, for instance, the formulation 

 of the definite integral and its interpreta- 

 tion by means of an area drawn to scale, 

 stands out most prominently. This funda- 

 mental principle is just beginning to re- 

 ceive the recognition due it in the teaching 

 of the calculus to engineering students, 

 and deserves all the emphasis it receives in 

 the Preliminary Report of the Committee 



M Calculus, Zelbchrlfl 



on the Teaching of Mathematics to Stu- 

 dents of Engineering recently issued, and 

 in several of the elementary texts on cal- 

 culus recently published. 



On the other hand, the results of the 

 present investigation confirm the writer in 

 his former belief that the subject of inde- 

 terminate forms and their evaluation has 

 in it from a practical standpoint little of 

 value for the engineer. There were found 

 just two distinct eases where such forms 

 arose and where methods of the calculus 



were used to evaluate the same. In view 

 of the fact that such forms occur rarely in 



PIff Calculus, Remc^M^c. 



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engineering practise and that the required 

 limit of each can generally be obtained 



