Repository: UIHistories Project: Board of Trustees Minutes - 1886 [PAGE 175]

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167 objection to such a course with the present programme of studies is, that a portion of the more advanced work would not find room. In the scheme for the present year, the following applications in mechanics are among those made by the class in calculus: Problem of a body falling freely near the earth's surface. Motion of a body down an inclined plane. Problem of a body falling from a distance toward the * earth; Velocity of fall; Limit of possible velocity; Time of fall. Problem of the cycloidal pendulum. General formulas for the coordinates of the centre of gravity of any mass. Center of gravity of a homogeneous body; center of gravity of a plane area; center of gravity of a solid of revolution: Examples. Center of gravity of an arc, of a surface of revolution. Examples. Properties of Guldin. Examples. In the first term of descriptive geometry, besides the theory of the elements, many applications are required; among these are, sections of solids, shadows on oblique surfaces, development of surfaces, and intersection of surfaces. The student is required to give in addition to the recitation, eight hours per week in drawing applications. In the second term, the different methods of projection are treated with the usual problems in. curves and surfaces. In addition to the recitation, the student is required to give five hours each week to the drawing and construction of problems and applications; among others, the shade of different forms of surfaces on other surfaces, the position of the line of shade; also elementary problems in perspective. Assistant Prof. Talbot teaches these classes. The work in post-graduate studies is mainly confined to assigning* works to be read and holding a written examination for standing; though students have been guided to some extent in advanced reading. I may be permitted to say that the students in mathematics, in this University, when they go to other institutions, even the best of the eastern ones, find themselves of equal rank with others. This statement must be limited to those of the Engineering Course, as the general student is not taken as far by several years as he may study in some of the eastern institutions. I trust that one of the good things of the future which the University will have, is a full four years' course in mathematics. Respectfully submitted,

S. W. SHATTUCIT,

Professor of Mathematics.