Repository: UIHistories Project: Course Catalog - 1890-1891 [PAGE 29]

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COLLEGE OF ENGINEERING.

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engineer and architect should be adepts in the various departments of drawing, and some previous study of this branch will be of great advantage. Faunce's Mechanical Drawing may be used as a text book, and the drawings made on smooth paper, eight by ten inches.

The subjects common to all the courses in the College of Engineering are here described; the topics peculiar to each will be noticed under their specific names.

PURE MATHEMATICS, FIRST YEAR.

Advanced Algebra.— Functions and their notation; series and the theories of limits; imaginary quantities; general theory of equations. Trigonometry.—Plane and spherical. Fundamental relations between trigonometrical functionsof angles or arcs; construction and use of tables; solution of triangles; projection of spherical triangles; angles as functions of sides and sides as functions of angles; general formulas; applications. Analytical Geometry.—The point and right line in a plane; conic sections, their equations and properties; the tangent and sub-tangent, normal and sub-normal, pole and polar, supplemetary chords, conjugate diameters, etc. Discussion of the general equation of the second degree containing two variables.

PURE MATHEMATICS, SECOND YEAR.

Differential Calculus.—Rules for the differentiation of functions of a single variable; successive differentiation; development of functions; maxima and minima of functions of a single variable; differentials of an arc, plane area, surface and volume of revolution; elementary discussion of higher plane curves; the spirals, logarithmic curve, trochoid, etc.; algebraic curves. Integral Calculus.—Integration of elementary forms and rational fractions; rectification of plane curves; quadrature of plane areas and surfaces of revolution; cubature of solids of revolution. Advanced Analytical Geometry.—Loci in space; in point, right line, plane and surfaces of the second order. Advanced Calculus.—Development of the second state of functions of any number of variables; differential equations; maxima and minima of functions of two or more variables; construction and discussion of curves and surfaces; integration of irrational and transcendental differentials and of differential equations of the higher orders and degree; applications; elements of elliptic integrals.