1896-1897 Academic Catalog

CEDARVILLE COLLEGE. numb e r o f original exercises are given in order to cultivate the power of ap p ly in g principles and methods already learned, and to aid the studen t in the mastery o f his own resources. In the Sophomo re ye a r P la n e and Spherical T rigonometry are ta u g h t d u ring the first term. Su rv ey in g and Navigation d u ring the second. A thorough study of the essential principles of this subject is required, and a large numbe r o f exercises and examples are given in order to cultivate skill in a p p ly ing p rinc i­ ples. E nough a tte n tio n is given to su rvey ing and navigation to make the studen t familiar with the principles and computations. Th e general methods of land and w a te r surveys and the laying out of railway curves are taugh t. Loomis’ text is used. In the first p a rt of the J u n io r year Analytical Geome­ try is required. T h is is intended as an introduction to the study o f H ig h e r Mathematics. It is all impo rtan t to a tho rough educ a tion ; w ithou t it a studen t is igno ran t of even the processes of th ough t o f the mathema tic ian o f his day. A g e n ­ eral tre a tm en t is given of the Po in t, the S tra ig h t Line, the C ir ­ cle, th e Parabo la, the Hyperbo la and the E llip se ; also a discus­ sion of the General Equation of the Second Degree, and a few o f the H ig h e r Plane Curves. Loomis’ text is used. T h is is followed by an elementary study of the two branches o f Calcu lu s— Differential and Integral. U n d e r the former is given a careful tre a tmen t of the differentiation of all functions, expansion of functions in series, max ima and minima of fun c ­ tions o f a single variable. Numerou s examples illustrative of these principles are introduced. In the In teg ra l Calculus the follow ing subjects are treated : E lem en ta ry forms of In teg ration , In teg ra tion of Ra tiona l Func tion s, In teg ration of Irrational Func tion s, In teg ra tio n by series, etc. Loomis’ text is used in this also, and numerous examples are introduced illu strating all of these principles. M E N T A L S C I E N C E . P o r te r ’s E lem en ts of Intellectual Science is the text-book. It is c om p le te d d u ring the first tw o terms o f the J u n io r Colle­ giate year. Th e in struction is by the recitation and lecture sys-