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Image 63 of Catalogue of the University of Kentucky, Volume 9 (1916-1917)

Part of University of Kentucky course catalogs, 1865-

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64 THE UNIVERSITY OF KENTUCKY. . both numerical and literal containing one unknown; simultaneous f· LM, quadratic equations; problems depending upon quadratic equations; Phu the binomial theorem for positive integral exponents, the formulas for _~ n the nth term and the sum of the terms or arithmetical and geometrical V muc 4 progressions, with applications. ; daci An additional one-half unit will be allowed for a half year’s work T in Advanced Algebra, provided the work covers determinants, permu- fom tations and combinations, complex numbers and theory of equations. 4 2. Plane (}CO?2'LCZ7”]]·—O}lU unit. The usual theorems and construe- idk, 4 tions of good text-books, including the general properties of plane Am rectilinear figures; the circle and the measurement of angles; similar VG,.) polygons; areas; regular polygons and measurement of the circle. f ` The solution of numerous original exercises, including loci problems, gi In ( application of line and plane surfaces. Sigh 3. Solid Geom.ctry—Onc·haif unit. The usual theorems and con- ·.4` _ structions of good text-books, including the relations of planes and — H7 4 lines in space; the properties and measurement of prisms, pyramids, ._ ,7.0,,, cylinders, and cones; the sphere and the spherical triangle; the solu- j` MCG tion of numerous original exercises, including loci problems; appli- cation to the mensuration of surfaces and solids. '1 yolk 4. Trigeaomciry—Onc—7idZf unit. Plane trigonometry should in- 7 clude the definitions and relations of the six trigonometric functions ’ com as ratios, the theory of logarithms and the use of tables, the proof of r''· and important formulas and considerable practice in trigonometric trans- s rudi ‘ formations; the solution of right and oblique triangles. Q sucl Latin. For one—half of the reading specihed below in any author, 5 PTO] equivalents in Ncpos, Sallust, Ovid, and other Latin authors, 1nay be USO offered. ln connection with all the readings, there should be constant 2 MX practice in sight translation and prose composition. 5 abil The four units that may be eifered in Latin are as follows: i and 1. Graimnczr and Co:np0ail·ion—Onc unit. The inflections; the Q simpler rules for composition and derivation of words; syntax of ;_ {itc cases and verbs; structure of sentences in general, with particular ; ICC, regard to relative and conditional sentences, indirect discourse, and mi the subjunctive. Translation into Latin of detached sentences and , easy continuous prose based upon Caesar and Cicero. Sho 2. Cucsar—Onc uni!. Any four books of the Gallic `War. tm., 3. ('iwro-—O;:r* uni!. Any six orations from the following list, O1` " tier equivalents: The four orations against Catiline, Archias, the Maiiiliail "; the