Annual Catalogue of the Officers and Students

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Page 86 - ADVANCED ALGEBRA. Permutations and combinations, limited to simple cases; complex numbers with graphical representation of sums and differences ; determinants, chiefly of the second, third, and fourth orders, including the use of minors and the solution of linear equations; numerical equations of higher degree, and so much of the theory of equations with graphical methods, as is necessary for their treatment, including Descartes's rule of signs and Horner's method, but not Sturm's functions or multiple...
Page 86 - PLANE GEOMETRY: The usual theorems and constructions of good text-books, including the general properties of plane rectilinear figures; the circle and the measurement of angles; similar polygons; areas; regular polygons and the measurement of the circle. The solution of numerous original exercises, including loci problems. Applications to the mensuration of lines and plane surfaces.
Page 86 - It is assumed that pupils will be required throughout the course to solve numerous problems which involve putting questions into equations. Some of these problems should be chosen from mensuration, from physics, .and from commercial life. The use of graphical methods and illustrations, particularly in connection with the solution of equations, is also expected.
Page 83 - THE AIM OF THE INSTRUCTION At the end of the intermediate course the pupil should be able to read at sight German prose of ordinary difficulty, whether recent or classical; to put into German a connected passage of simple English, paraphrased from a given text in German ; to answer any grammatical questions relating to usual forms and essential principles of the language, including syntax and word-formation...
Page 85 - Charlemagne to the present time. c. ENGLISH HISTORY. d. AMERICAN HISTORY AND CIVIL GOVERNMENT. Each of the above topics is intended to represent one year of historical work, wherein the study is given five times per week, or two years of historical work, wherein the study is given three times per week.
Page 84 - The Aim of the. Instruction At the end of the elementary course in German the pupil should be able to read...
Page 85 - Ancient history, with special reference to Greek and Roman history, and including also a short introductory study of the more ancient nations and the chief events of the early Middle Ages, down to the death of Charlemagne (814).
Page 83 - At the end of the elementary course the pupil should be able to pronounce French accurately, to read at sight easy French prose, to put into French simple English sentences taken from the language of everyday life or based upon a portion of the French text read, and to answer questions on the rudiments of the grammar as defined below.
Page 85 - ... equations, both numerical and literal, containing one or more unknown quantities ; problems depending on linear equations ; radicals, including the extraction of the square root of polynomials and of numbers ; exponents, including the fractional and negative...
Page 89 - Applications received later than the dates named will be accepted when it is possible to arrange for the admission of the candidates concerned, but only upon the payment of $5.00 in addition to the usual fee.

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