UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Course Catalog - 1893-1894 [PAGE 129]

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GENERAL LIST OF SUBJECTS.

125

14. Method of Least Squares.—The object of this course is to present the fundamental principles of the subject in a manner so plain as to render them intelligible and useful to students of astronomy and engineering. The following subjects will be studied: Law of probability and error, adjustment of observations, precision of observations, independent and conditioned observations, etc. Merriman's Least Squares. Fall term, three hours per week. This, with Astronomy 3 two hours per week, makes a full study. Assistant Professor

MYERS.

Required: Mathematics 7, 8, 9. 15. Seminary and Thesis.—Fall, winter, and spring terms, half study. 16. Differential Equations.—This subject isdesigned for students in the courses of engineering and mathematics and astronomy. It will embrace the following topics: General linear equations with constant coefficients, special forms of differential equations of higher order, integration of series, etc. A. R. Forsyth's Differential equations. Winter and spring terms, three hours per week. This, with Astronomy 3 of winter and spring terms, constitutes a full study. Assistant Professor MYERS.

Required: Math. 7, 8, 9. 17. Analytic Geometry of Space.—A general review will be given of the position of the plane and the right line in space and the more general properties of surfaces of the second degree. To this will be added the classification of quadrics, special properties of quadrics, foci and confocal surfaces, general theory of surfaces, curves and developables, families of surfaces, and surfaces of higher orders. Charles Smith's Solid Geometry, with references to Salmon''s Geometry of three Dimensions. Winter term, full study. Assistant Professor

TOWNSEND.

Required: Math. 7, 8, II. 18. Higher Plane Curves.—The course is designed to cover the general properties of Algebraic curves, including the theory of multiple points and tangents, curve tracing, poles and polars, and reciprocal curves; to which will be added envelopes, cubics and quadrics, transcendental curves, transformation of curves, and the general theory of curves. Salmon's Higher Plane Curves. Spring term, full study. Assistant Professor TOWNSEND. Required: Math. 8, 9, 12.