| |
| |
Caption: Course Catalog - 1894-1895
This is a reduced-resolution page image for fast online browsing.
EXTRACTED TEXT FROM PAGE:
138 UNIVERSITY OF ILLINOIS. of determinants, properties of determinants, determinant minors, multiplication of determinants, determinants of compound systems, determinants of special forms—Jacobians, Hessians, Wronskians—with applications to algebra including linear transformations, and to analytic geometry. Weld's Theory of Determinants with selected chapters from Scott's Theory of Determinants. Winter term, full study. Assistant Professor TOWNSEND. Required: Mathematics 2, 4, 6, 7. 12. THEORY OF INVARIANTS.—The course will cover the general development of the theory of invariants from both the geometric and the algebraic side. Applications of invariants will be made to systems of conies and to higher plane curves. Bruno's Binaren Formen will be followed in part, but frequent use will be made of Clebsch's Geometrk. Spring term, full study. Assistant Professor TOWNSEND. Required: Math. 1, 10, 11. 13. THEORY OF FUNCTIONS.—By way of introduction, consid- erable 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, and so much of elliptic functions as the time will permit. Harkness and Morley's Theory of Functions. Fall term, full study. Assistant 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 error, adjustment of observations, precision of observations, independent and conditioned observations, etc. Merriman's Least Squares. Fallterm, three hours per week. This, with Astronomy 3 two hours per week, makes a full study. Assistant 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
| |
