Items related to Mathematics for freshman students of engineering
Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 Excerpt: ...and geometrical ideas and to sketch in curves from the inspection of their equation without going into the detail of plotting them. Comments: "The ability to sketch the locus from an inspection of the equations. Determining the nature of a locus from its equation and interpretation of results." "In expressing laws in algebraic language and deducing the general form of the locus from the equation." "A general lack of understanding the usefulness of the subject and hence superficial knowledge of the fundamentals." "In my work they usually show little knowledge of such curves as y = ax + b; y = ae; y = asin "After having had analytic geometry the students show themselves deficient in two ways in their calculus. Their deficiency is largely failure to grasp the general notion of plotting a function, and also failure to appreciate the tangent problem. In their later engineering work their deficiency in analytic geometry is largely on the side of empirical curves, and obtaining of equations from empirical data. In this they are scarcely to be blamed, for this is a new notation which can at the best be illustrated by lame examples in their first course in analytic geometry.' (iv). Derivatives and Integrals in Analytic Geometry. p. Would it be advisable to introduce a working knowledge of elementary differentiation and integration preceding or simultaneously ii"ith the course in analytic geometry? Replies: Yes. (together) 115 No 71 In addition to the considerable majority of opinion in favor of the early introduction of the elements of the calculus (62% of the total number of the replies) the striking fact was also brought out, that all who reported having tried this method were, without exception, in favor of it and had ...
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