Repository: UIHistories Project: Course Catalog - 1898-1899 [PAGE 221]

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MATHEMATICS

11.

219

THEORY OF DETERMINANTS.—The origin and notation of de-

terminants, 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. Hanus's Theory of Determinants, supplemented by lectures. / . ; Tu., Th.; i; (2). Mr. COAR.

Required: Mathematics 7, 10. 12. THEORY OF INVARIANTS.—The course will cover the general development of the theory of invariants, both from the geometric and from the algebraic side. Applications of invariants will be made to systems of conies and to higher plane curves. Lectures with collateral

reading. 13. Mr. COAR.

Required: Mathematics 11.

[Not given in 1899-1900.].

THEORY OF FUNCTIONS.—By way of introduction, consider-

able 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, introduction to elliptic functions, etc. Durege's Theory of Functions and Collateral Reading. I. and II.; M., W., F.;

3; (3). 14. Mr. COAR. METHOD OF LEAST SQUARES.—The object of this course is to

Required: Mathematics 7, 9, 10. 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; (1V2). Mr. BRENKE. Required: Mathematics 9.

15. 16. SEMINARY AND THESIS.—/, and II.; Tu., Th.; 3; (2).

Associate Professor TOWNSEND.

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 of series, etc. Johnson's Differential Equations.

II.; M..W..F.; 4; (3). Mr. BRENKE.

Required: Mathematics 9.