UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Course Catalog - 1899-1900 [PAGE 234]

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14.

GENERAL DESCRIPTION OF COURSES

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. I.; M., W., F.; 4; (V/t). Mr. BRENKE. Required: Mathematics 9.

15. SEMINARY AND THESIS.—/. and II.; Tu., Th.; 3; (2). Associate Professor TOWNSEND and Mr. COAR. 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 in series, etc. Johnson's Differential Equations. II.; M., W., F.; 4; (3). Professor SHATTUCK

and Professor MYERS.

Required:

17.

Mathematics 9.

ANALYTICAL 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. II.; M., W., F.; 1; (3). Associate Professor TOWNSEND and Mr. COAR.

Required:

18.

Mathematics 9.

HIGHER PLANE CURVES.—This course is designed to cover

the general theory of algebraic curves, together with the application of the theory of invariants to higher plane curves. Special study will be made of curvea of the third and fourth order. Lectures with collateral reading. Associate Professor TOWNSEND. Required: Mathematics 12.

20. CALCULUS OF VARIATIONS.—This course has for its aim

merely to acquaint the student with those elements of the science which are most needed in the study of the higher subjects of mathematical astronomy and physics. Carll's Calculus of Variations. I.;

M., W., F.; 4; (iyi). Professor SHATTUCK.

Required: Mathematics 11, 16. 21. SPHERICAL HARMONICS.—In this course, a thorough study is made of so much of this subject as is of interest to an astronomer. It is introduced by a short course of lectures and study of certain