University of Virginia record March 1, 1915 | ||
MATHEMATICS.
Freshman Mathematics. [Page.]
9-10, M. W. F.
100. Trigonometry.
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. (Fall.)
101. College Algebra.
The work begins with the Progressions and proceeds with the study
of the Binomial Formula, of the Convergence and Divergence of Series, and
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. (Winter.)
102. Analytical Geometry.
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. (Spring.)
Sophomore Mathematics. [Echols.]
12-1, M. W. F.
103. Conic Sections.
This course in Analytical Geometry takes the subject up at the point
left off in 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.
The Differential Calculus is begun and the remainder of the term spent on
exercises in differentiation of functions. (Fall.)
104. Differential Calculus.
The Differential Calculus is continued and applied to simple 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 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.)
University of Virginia record March 1, 1915 | ||