Repository: UIHistories Project: Course Catalog - 1896-1897 [PAGE 172]

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GENERAL DESCRIPTION OF COURSES

tems of conies and to higher plane curves. Lectures with collateral reading. Fall term, three-fifths study. Associate Professor TOWNSEND. [Not given in 1897-98.] Required: Math. 7, io, 11.

13. THEORY OF FUNCTIONS.—By way of introduction, considerable

attention will be given to the geometric representation of the complex variable, including Argand's diagram, conformal representation, and harmonic ratios, and bilinear transformation. This will be followed by the development of the theory of infinite series, algebraic and transcendental functions, integration of uniform functions, Riemann's surfaces, introduction to elliptic functions, etc. Durege's Theory of Functions and Collateral Reading. Fall, and winter terms, three-fifths study. Associate Professor TOWNSEND. Required: Math. 7, 8, 9, 10.

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, Huo-fifths study. Associate Professor MYERS. Required: Mathematics 7, 8, 9. 15. SEMINARY AND THESIS.—Fall, zuinter, and spring terms, tzuofiflhs study. Associate Professor TOWNSEND.

16. DIFFERENTIAL EQUATIONS.—This subject is designed for stu-

dents in the courses of engineering and of 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. fohnson's Differential Equations. Winter term, three-fifths study. Spring term, two-fifths study. Associate

Professor MYERS.

Required:

17.

Math, 7, 8, 9.

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 and special properties of quadrics, and a brief introduction to the theory of surfaces in general. Chas. Smith's Solid Geometry. Spring term, full study. Associate Professor TOWNSEND. Required: Math. 7, 8, 9, 11.

18. HIGHER PLANE CURVES.—This course is designed to cover the

general theory of algebraic curves, together with the application of the