1900-1901 Academic Catalog

In the first part of the Sophomore year, Analytical Geom­ etry is required. This is intended as an introduction to the study of higher Mathematics. It is all important to a thor­ ough education; without it a student is ignorant of even the process of thought of the mathematician of h's day. A gen­ eral treatment is given of the Point, the Straight Line, the Circle, the Parabola, the Hyperbola and the Ellipse; also a discussion of the General Equation of the Second Degree, and a few of the Higher Plane Curves. Loomis’ text is used. This is followed by an elementary study of the two branch­ es of Calculus—Differential and Integral. Under the former is given a careful treatment of the differentiation of all func­ tions, expansion of functions in series, maxima and minima of functions of a single variable. Numerous examples illus­ trative of these principles are introduced. In the Integral Calculus the following subjects are treated: Elementary forms of Integration, Integration of Rational Functions, In­ tegration of Irrational Functions, Integration by series, etc. Loomis’ text is used in this also, and numerous examples are introduced illustrating all of these principles. MENTAL SCIENCE. Porter’s Elements of Intellectual Science is the text-book. It is completed during the first two terms of the Junior Collegiate 3 ear. The instruction is by the recitation and lecture system. The topics studied and discussed are Psy ­ chology and its relations toother Sciences, the Soul and ils relation to Matter, the Human Intellect under the headings of Presentation and Presentative Knowledge, Representa­ tion, Thought and Thought Knowledge, and Intuitions. The study of Psychology “ promotes self-knowledge, and moral culture, disciplines to moral reflection, trains to the knowledge of human nature, is indispensable to educators, creates the study of literature" and impels to general scien­ tific research. It is the parent of all sciences. Upon it are based political, social, legal, aesthetic, theological, metaphys ical and physiological studies. Even those branches that