Repository: UIHistories Project: Course Catalog - 1879-1880 [PAGE 41]

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College of Engineering.

39

dent, and the exact thing to be done is indicated, thus avoiding mistakes, and facilitating practice. The designing of such machine elements as pulleys, journal boxes, cranks, stuffing boxes, etc., cultivates a knowledge of proportion, and of its proper representation on paper. This practice in designing and drawing is a leading feature in the course of instruction. This course of elementary practice fits the student for the advanced shop practice in designing and construction of complete machines undertaken later in the course.

STUDIES.

The studies are given by the year and term in the tabular view of the course. The order there indicated should be closely followed, that the student may avoid interference of his hours of recitation. The following is a detailed view :

PURE MATHEMATICS.

Advanced Geometry.—Applications of Algebra to Geometry ; Transversals; Harmonic Proportions, etc. Trigonometry.— Analytical and Plane. Relations between the functions of an arc ; Formation and use of Tables ; Solution of plane triangles. Analytical Geometry.—Construction of equations ; Discussion, in a plane, of the point, right-line, circle, ellipse, parabola and hyperbola ; Higher plane curves, cycloid, cissoid of Diodes, etc.— Differential Calculus.—Differentials of algebraic and transcendental functions ; Maclaurin's Theorem; Taylor's Theorem; Maxima and Minima of functions of one variable; Equations of tangents, normals, sub-tangents, sub-normals, etc.; Differentials of lines, surfaces of volumes. Integral Calculus.—Integration of elementary forms and of rational fractions ; Rectification of plane curves ; Quadrature of plane areas and surfaces of revolution; and Cubature of solids of revolution.

SECOND YEAR.

Advanced Algebra.—Binomial Theorem; Properties and summation of series. Exponential quantities, Logarithms. General theory and methods of solving equations. Analytical Geometry.—Loci in space; Surfaces of the second order. Differential Calculus.—Differentials and Maxima and Minima of functions of two or more variables ; Oscillatory curves ; Radius of curvature ;