Repository: UIHistories Project: Course Catalog - 1893-1894 [PAGE 127]

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GENERAL LIST OF SUBJECTS.

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their equations and properties developed analytically; poles and polars; synthetic geometry of the circle, and the discussion of the general equation of the second degree. Newcomb's Analytic Geometry. Spring term, full study. Assistant Professor MYERS. Required: Math., 2, 4. Differential Calculus.—Variables and functions; limits and infinitesimals; differentials and derivatives; differentiation of explicit functions, implicit functions and functions of several variables; derivatives of higher orders; successive derivatives; developments in series; maxima and minima of functions; indeterminate forms; plane curves, tangents and normals; asymptotes, singular points and curve tracing; theory of envelopes, of curvature, of evolutes and involutes. Newcomb's Differential and Integral Calculus. Fall term, fullstudy. Professor SHATTUCK. Required: Math. 2, 4, 6. Advanced Analytical Geometry—Position and direction in space; the plane; the straight line in space; quadric surfaces. Modern Geometry.—The principal of duality; the distance ratio; the simi ratio; the anharmonic ratio and properties; projective properties of figures; harmonic points and lines; Pascal's theorom and its correlative; trilinear co-ordinates; line co-ordinates. Newcomb's Analytical Geometry. Winter term, full study. Professor SHATTUCK.

Required: Math. 2, 4, 6, 7. Integral Calculus.—Elementary forms of integration; integrals immediately reducible to the elementary forms; integration by rational transformations; integration of irrational algebraic differentials; integration of transcendent functions; definite integrals; successive integration; differentiation under the sign of integration; integration by means of differentiating known integrals; double integrals; triple and multiple integrals; product of two definite integrals. Rectification and quadrature; the parabola, the ellipse, the cycloid, the Archimedean spiral, the logarithmic spiral, the limniscate, the cycloid, quadrature of surfaces of revolution and of surfaces in general, cubature of volumes; the sphere, the pyramid, the ellipsoid, any solid of revolution, and of volumes in general. Newcomb's Differential and Integral Calculus; Newcomb's Analytical Geometry. Spring term, full study. Professor SHATTUCK. Required: Math. 2, 4, 6, 7, 8.