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Caption: Course Catalog - 1899-1900
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MATHEMATICS 233 trigonometric series. Fourier'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. Byerly's Fourier's Series and Spherical Harmonics. I.; M., W., F.; 7; (3). Professor MYERS. Required: Mathematics n , 14, 16. 22. POTENTIAL FUNCTION.—The potential function is defined 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.—//.; M., W., F.; 7; (3). Professor MYERS. Required: Mathematics 21. 23. MODERN GEOMETRY.—This course will include in general a consideration of homogeneous coordinates, duality, descriptive and metrical properties of curves, anharmonic ratios, homography, involution, projection theory of correspondence, etc. Scott's Modern Analytic Geometry. Associate Professor TOWNSEND. Required: Mathematics 8, 11. 24. ALGEBRAIC SURFACES.—In this course will be considered the application of homogeneous coordinates and the theory of invariants to geometry of three dimensions, and also the general theory of surfaces, together with the special properties of surfaces of the third and fourth order. Lectures with collateral reading. Associate Professor TOWNSEND. Required: 25. Mathematics 17, 18. course may be PARTIAL DIFFERENTIAL EQUATIONS.—This taken either simultaneously with, or subsequently to, Math. 16. It deals with the integration and determination of the integration constants of such partial differential equations as arise in the study of such subjects as the flow of heat, the vibration of strings, plates, etc., and electricity. / / . ; Tu., Th.; 5; (2). Professor SHATTUCK and Professor MYERS. Required: 26. Mathematics 9. course is intended for STATISTICAL ADJUSTMENTS.—This students whose work requires the handling of a mass of data, statistical or observed, which is vitiated by the presence of accidental errors, in such way as to elicit the content of truth on sound mathematical principles. It is thought the course will be particularly useful to
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