UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Course Catalog - 1897-1898 [PAGE 211]

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MATHEMATICS

209

and from the algebraic side. Applications of invariants will be made to systems of conies and to higher plane curves. Lectures with collateral reading. Fall term, M., W., F., at p, three-fifths credit. Associate Professor TOWNSEND. Required: Math. 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, introduction to elliptic functions, etc. Durege's Theory of Functions and Collateral Reading. Winter and spring terms, M., W-, F., at 10, three-fifths credit. Associate Professor TOWNSEND. [Not given in 1898-99.] Required: Math. 7, 8, 9, 10.

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. Fall term, Tu., Th., at 1.20, two-fifths credit. Associate Professor MYERS. Required: Mathematics 9.

15. SEMINARY AND THESIS.—Fall term, Tu., Th., at p ; winter

and spring terms, Tu., Th., at 10, two-fifths credit. Associate Professor TOWNSEND. 16. DIFFERENTIAL EQUATIONS.—This subject is designed for

students 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. Winter term, Tu., Th., at 11.05, three-fifths credit. Spring term, Tu., Th., at 1.20, two-fifths credit. Associate

Professor MYERS.

Required: Math. 9.

17. 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 14