Repository: UIHistories Project: Course Catalog - 1875-1876 [PAGE 59]

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Departments of Study.

ENGINEERING AND ARCHITECTURE.

S7

See School of Engineering and Architecture, pages 30 to 42.

CHEMISTRY AND NATURAL HISTORY.

Ste School of Chemistry and Natural History, pages 43 to 46.

PURE MATHEMATICS.

Application of Algebra to Geometry, Transversals, Harmonic Proportion, etc. TRIGONOMETRY. Analytical and Plane. Relations between the functions of an arc, Formation and use of tables, Solution of plane triangles. ANALYTICAL G E OMETRY. Construction of equation by means of co-ordinates; Discussion in a plane of the point, right-line circle, ellipse, parabola and hyperbola; Higher plane curves, cycloid, cissoid of Diocles, etc. D I F FERENTIAL CALCULUS. Differentials of algebraic and transcendental functions, Maclaurin's Theorem, Taylor's Theorem, Maxima and minima of functions of one variable, Equation of Tangents, nurmals, sub-tangents, sub-normals, etc.; Differentials of lines, surfaces and voV umes. INTEGRAL CALCULUS. Integration of known forms and of rational fractions, Rectification of plane curves, quadrature of plane areas and surfaces of revolution, and clibature of solids of revolution.

ADVANCED GEOMETRY.

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. D I F F E R E N T I A L CALCULUS. Differentials and maxima and minima of functions of two or more variables, Osculatory curves radius of curvature;*Evolutes, involutes, envelopes; Discussion of algebraic and transcendental curves and surfaces; Tangent, plane and normal, rartial differentials of surfaces and volumes. INTEGRAL CALCULUS, Integration of transcendental and irrational differentials; Differentials of higher orders; Differential equations; Rectification, quadrature and cubature in general; Caculus of Variations. Spherical Trigonometry, General Formulas; Solution of Spherical Triangle.

AGRICULTURE.

This department embraces a thorough course of i:)slruct:on in the theory and practice of land culture and cropping in its several Varities} animal husbandry, including stock and dairy farming; sheep and swine husbandry; and the principals of stock breeding. It includes also the principles of the amelioration of soil, veterinary science, and the general management of farming estates. 2. T H E FARM—Its measurements and mapping; Subdivisions1— meadows, pastures, orchards, woodlands, gardens, etc., fences, hedges. Soil—Chemical elements and chemical treatment, classification, and mechanical tieatment, plowing, etc. FERTILIZERS—Composition, manufacture, preservation and application. Drainage. P L A N T C U L TURE—Structure and physiology of plants; Classes of useful plants, their characteristics, varieties and values. Wheat culture ; maize, grass, and root culture. Insects injurious to vegetation.