Repository: UIHistories Project: Course Catalog - 1895-1896 [PAGE 182]

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182

GENERAL DESCRIPTION OP COURSES

metrie. Spring term, full study. Associate Professor TOWNSEND.

Required:

Math. 7, 10, 11.

13. THEORY OF FUNCTIONS.—By way of introduction, con-

siderable 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, etc. Durege's Theory of Functions and Collateral Reading. Fall term, full study. Associate Professor TOWNSEND. Required: Math. 8, 9, 12. 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 errorj adjustment of observations, precision of observations, independent and conditioned observations, etc. Merriman's Least Squares. Fall term, three hours per week. This, 'with Astronomy S, two hours per week, makes a full study. Associate Professor MYERS.

Required: Mathematics 7, 8, 9. 15. SEMINARY AND THESIS.—Fall, winter, and spring terms, two-fifths study.

16. DIFFERENTIAL EQUATIONS.—This subject is designed

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. Associate

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,