Caption: Course Catalog - 1897-1898
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2IO GENERAL DESCRIPTION OF COURSES quadrics, and a brief introduction to the theory of surfaces in general. Chas. Smith's Solid Geometry. Spring term, at 8, full credit. Associate Professor TOWNSEND. Required: Math 9, 11. 18. 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 curves of the third and fourth order. Lectures with collateral reading. Winter term, M., IV., F., at 10, three-fifths credit. Associate Professor TOWNSEND. Required: Math. 12. 19. SOLID AND SPHERICAL GEOMETRY.—This is a course pre- scribed for the students in the College of Literature and Arts. Spring term, at 1.20, one credit. Mr. BRENKE. 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. Fall term, M., W., F., at 2.20, three-fifths credit. Associate Professor MYERS. Required: Math. 11, 16. [Not given in 1898-99.] 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 trigonometric series. Fourrier's Theorem for developing any function of a variable in a series proceeding in sines and cosines of multiples of the variable is derived and the limitations of its validity investigated. This is followed by the study of Lagrange's, Laplace's and Lame's functions and their applications to astronomical and physical problems. Byerley's Fourrier's Series and Spherical Harmonics. Winter term, M., W., F., at 2.10, three-fifths credit. Associate Professor MYERS. Required: Math, 11, 14, 16. [Not given in 1898-99.] 22. POTENTIAL FUNCTION.—The potential function is denned and its properties derived and discussed. The potential of various bodies; such as of a wire, a spherical shell, a sphere, ellipsoid of revolution, etc., is computed. Poisson's and Laplace's Equations are derived and discussed. Green's Propositions with kindred and similar subjects are handled. Pierce's Newtonian Potential Function. Spring term, M., W., F., at 2.20, three-fifths credit. Associate Professor MYERS.
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