University of Virginia Library

MATHEMATICS.

Professor Echols.

Professor Page.

Mr. Michie.

Mr. Burton.

Mr. Smith.

1. Review of High School Algebra.—The general purpose of this
course is to give to the teachers and students of high school Algebra
a thorough review of the work beginning with factoring. The ground
covered in six weeks is that of a full year's work in the high school,
so that a fair knowledge of algebraic principles and methods is presupposed.

The topics studied are the following: Factoring, highest common
factor, lowest common multiple, fractions, simple equations, involution,
evolution, exponents, radicals, quadratic equations, and
simultaneous equation involving two or three unknowns of the first
or second degree. Emphasis will be laid upon the solution of numerous
problems illustrating the principles.

Daily, from 12:15 to 1:15. Mr. Smith. Cabell Hall, Room 5.

Text-Book.—Students should bring any text-book now in use in
the high schools.

2. Advanced Algebra.—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.

Daily, from 9:30 to 10:30. Professor Echols, Professor Page,
Mr. Michie. Cabell Hall, Room 8.

Text-Book.—Charles Smith's Treatise on Algebra.

3. Plane Geometry.—This course is designed for students wishing
to review this subject or to repair deficiencies, for teachers and those
who are preparing for college examinations. It is presumed that
students attending the course have had a previous knowledge of the
subject as a whole or in part. The lectures and quizzes will be framed
therefore with the view of strengthening and harmonizing the knowledge
of plane geometry. There will be discussed for historical development
the logical connection of the theorems and processes of
elementary geometry; the definitions of the fundamental geometrical
concepts; the axioms of geometry and the nature of geometrical
proof; the systematic study of the original solution and methods of
attack of geometrical problems; the theory of geometric graphical
solution, and the problems of quadrature of the circle.

Daily, from 10:30 to 11:30. Professor Echols, Professor Page,
Mr. Michie. Cabell Hall, Room 8.

4. Solid Geometry.—The course presupposes a knowledge of
Plane Geometry as given in the previous course and in the current
text books. Especial attention is given to the logical development
of the subject and to the dependent relationship between the propositions.
The scientific and pedagogic aspects of the theory of limits
will be treated in detail. The problems of geometrical mensuration
for space are carefully worked out to conclusions.

Daily, from 12:15 to 1:15. Professor Echols, Professor Page,
Mr. Michie. Cabell Hall, Room 6.

Text-Book.—Venable's Elements of Geometry.

The method of presentation in the courses of both Plane Geometry
and Solid Geometry will be by lectures and text references, with
frequent quizzing and blackboard exercises by the student. Students
are requested to bring with them such texts as they have studied and
have used for teaching. A collection of modern texts in English and
foreign languages will be used for purposes of comparison and in illustration
of the different methods of presenting the subject in this
and other countries.

5. Plane and Spherical Trigonometry.—The course in Plane Trigonometry
begins with the definitions of the six trigonometric functions
as ratios, and embraces all topics usually covered in the standard
text-books,—including the use of logarithms. In Spherical Trigonometry,
the course ends with the solution of oblique spherical triangles.

Daily, from 8:30 to 9:30. Professor Echols, Professor Page, Mr.
Michie. Cabell Hall, Room 8.

Text-Books.—Laney's Trigonometry, Part I; Murray's Spherical
Trigonometry; Murray's Five-Place Tables.

Credit.—Those students completing courses 2, 4 and 5 will be
credited with course 1A given in the session; provided the conditions
set forth on pages 14 and 15 have been fulfilled.

6. Analytic Geometry.—The straight line, circle, parabola, ellipse
and hyperbola, and their properties are studied and the general
equation of the conic is carefully considered.

Daily, from 8:30 to 9:30. Mr. Burton. Cabell Hall, Room 7.

Text-Book.—Laney's Co-ordinate Geometry.

7. Differential Calculus.—Differentiation of the elementary functions
with applications to geometry and mechanics, followed by examples
of curve tracing.

Daily, from 9:30 to 10:30. Mr. Burton. Cabell Hall.

Text-Book.—D. A. Murray's Differential and Integral Calculus.

8. Integral Calculus.—The fundamental principles of the integral
calculus are carefully studied with applications to areas of plane surfaces,
lengths of curves, and volumes of solids.

Daily, from 10:30 to 11:30. Mr. Burton. Cabell Hall.

Text-Book.—D. A. Murray's Differential and Integral Calculus.