UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Course Catalog - 1878-1879 [PAGE 45]

Caption: Course Catalog - 1878-1879
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College of Engineering.

43

The 5th shop involves the use of the ordinary machine tools of the machine shop. The first practice employs these machines with their cutting tools or bits, in the common operations, such as turning cylinders, disks, grooves and fillets; boring, drilling, hand-turning, milling, planing, etc. Following this is a course of practice in fitting and finishing, in which calipers, rules, etc., are introduced, and many of the various fittings employed in machinery are produced. Polishing and finishing of surfaces are also practiced. Lectures are given in which the most favorable forms and manipulation of cutting tools and auxiliary appliances are explained. Previous to the shop work, the pieces are drawn by the student, 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 Diocles, 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