University of Virginia Library

MATHEMATICS.

100 Trigonometry. [Page.]

Lectures 9-10, Monday, Wednesday, Friday.

A complete course in Plane and Spherical Trigonometry is pursued
with constant drill in the solution of problems, and exercises
in the use of logarithms.

[Required, Fall, in Courses I, II, III, IV, V (1).]

101 Algebra. [Page.]

Lectures 9-10, Monday, Wednesday, Friday.

The work begins with the Progressions and proceeds with the
study of the Binomial Formula, Convergence and Divergence of
Series, with special study of the Binomial, Exponential and Logarithmic
Series. The study of Inequalities and Determinants prepares
for the Theory of Equations with which the course is closed.

[Required, Winter, in Courses I, II, III, IV, V (1).]

102 Analytical Geometry. [Page.]

Lectures 9-10, Monday, Wednesday, Friday.

In this elementary course the study of Cartesian and Polar Coördinates
is followed by numerous exercises on the graphical representation
of equations. Special attention is given to the straight
line and the representation of the general equation of the first degree
in two variables. The course is intended to prepare for the
fuller study of the Analytical Geometry of the Conic Sections.

[Required, Spring, in Courses I, II, III, IV, V (1).]

103 Conic Sections. [Echols.]

Lectures 12-1, Monday, Wednesday, Friday.

This course consists in a study of Analytical Geometry, taking
the study up at the point left off in Course 102, completing the study
of the conic in its particular and general form. A brief study of


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curves referred to polar coördinates and the special study of a number
of classical curves. The Differential Calculus is begun and the
remainder of the term spent in exercises in differentiation of functions.

[Required, Fall, in Courses I, II, III, IV, V (2).]

104 Differential Calculus. [Echols.]

Lectures 12-1, Monday, Wednesday, Friday.

The Differential Calculus is continued and applied to simple exercises
in the expansion of Functions, Evaluation of Indeterminate
Forms and the problems of Maximum and Minimum for functions
of one variable. The subject is then applied to the Geometry of
Curves, Tangencies, Curvature, Envelopes and Curve Tracing.

[Required, Winter, in Courses I, II, III, IV, V (2).]

105 Integral Calculus. [Echols.]

Lectures 12-1, Monday, Wednesday, Friday.

The Integral Calculus is taken up—the integral defined and exercises
in elementary integration prepare for the application to numerous
problems in Lengths, Areas and Volumes. When the time permits
a brief introduction to ordinary differential equations will be
given.

[Required, Spring, in Courses I, II, III, IV, V (2).]