University of Virginia Library

Sophomore Mathematics. [Echols.]

11-12, M. W. F.

103. Conic Sections.

This course in analytical geometry reviews the topics of Course 102 and
completes the study of the conic in its particular and general forms. A
brief examination of curves referred to polar coördinates is then followed
by the special study of a number of classical curves. (Fall.)

104. Differential Calculus.

The differential calculus is expounded and illustrated by exercises in the
expansion of functions, evaluation of indeterminate forms and problems of
maximum and minimum for functions of one variable. The method is then


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applied to the geometry of curves, tangencies, curvature, envelopes and
curve tracing. (Winter.)

105. Integral Calculus.

The integral calculus is taken up; the integral is defined, and exercises
in elementary integration prepare for the application to numerous problems
in lengths, areas and volumes. When time permits, a brief introduction
to ordinary differential equations will be given. (Spring.)