The University of Virginia record :: March 1, 1920 :: University of Virginia Library

Quadratics and the progressions, the binomial formula, convergence and divergence
of series, with a 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. A sufficient review will be given in the first of the
term to cover all the topics needed by the high school teacher.

Corresponds to third term of Math. A1 or second term of Math. A2, regular session.
Text.—Reitz and Crathorne's Treatise on Algebra.

Mathematics 51. Solid Geometry.—Both Terms. 9:30; C. H. 8.
Credit, one session-hour. First term, Mr. Echols, second term.

The course presupposes a knowledge of Mathematics 188. Especial attention will
be 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 will be
carefully worked out to conclusions.

Corresponds to the second term of Mathematics A1, regular session. Text.—Venable's
Elements of Geometry.

Mathematics 52. Trigonometry.—Both Terms. 9:30; C. H. 6.
Credit, one session-hour. First term, Mr. Page; second term,
Mr. Luck.

The course in plane trigonometry will begin with the definition of the six trigonometric
functions as ratios, and embrace all topics usually covered in the standard
text-books, including the use of logarithms.

Corresponds to first term of Mathematics, A1 or A2, regular session. Text.—
Conant's Plane Trigonometry.

Mathematics 53. Analytical Geometry.—First Term. 10:30; C. H.
7. Credit, one session-hour. Mr. Michie.

The straight line and circle will be studied. This course is intended to prepare
for the study of the Analytical Geometry of the conic sections. Corresponds to
the first term of Co-ordinate Geometry, Math. B1, regular session. Text.—Loney's
Co-ordinate Geometry.

Mathematics 54. Differential Calculus.—First Term. 9:30; C. H.
7. Credit, one session-hour. Mr. Michie.

Elements of the differential calculus, evaluation of illusory forms, infinite series,
Toylorsand Maclaurins Theorems, Maxima and Minima. Corresponds to the first
term of Mathematics B2 or 108, given to engineering students, regular session.
Text.—Granville's Calculus.

Mathematics 55. Integral Calculus.—Second Term. 8:30; C. H. 7.
Credit, one session-hour. Mr. Michie.

Definite integrals and their application to the determination of areas, lengths of
arcs, volumes surfaces, Mass Moments, Moments of inerta and center of gravity.
Corresponds to the third term of Mathematics B2 or 110, regular session. Text.—
Granville's Calculus.

Mathematics 56. Coördinate Geometry.—Second Term. 10:30; C.
H. Credit, one session-hour. Mr. Michie.

Analytical Geometry continued from the point reached in course 53. Corresponds
to the second term of Co-ordinate Geometry B1, Mathematics, regular session.
Text.—Loney's Co-ordinate Geometry.

Mathematics 57. Differential and Integral Calculus.—First Term.
2:30; C. H. 8. Credit, one session-hour. Mr. Michie.

Tracing and discussion of curves and the application to Geometry of curves in
the problems of tangency, contact and curvature. Corresponds to the second term
of B2 Mathematics or 109, given to engineering students in regular session. Text.
—Granville's Calculus.

Mathematics 58. Differential Equations.—First Term. 8:30; C. H.
7. Credit, one session-hour. Mr. Michie.

A study of the more common types of ordinary differential equations, especially
those of the first and second orders, with application to geometry, physics and mechanics.
Text.—Cohen's Differential Equations. To be given first term.

Mathematics 59. Plane Geometry for Teachers of Mathematics.—
First Term. 10:30; C. H. 6. Credit, one session-hour. Mr.
Echols.

Designed for students wishing to review this subject or to repair deficiencies, for
teachers and those who are preparing for college examinations. The lectures and
quizzes will be framed 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.

Mathematics 60. Introduction to the Mathematical Theory of Interest
and Insurance.—First Term. 12:15; C. H. 7. Credit, one
session-hour. Mr. Michie.

The aim of this course is to explain and illustrate the application of mathematics
to financial transactions and life insurance to such an extent as may be of interest
and value to the general student. To be given first term. In order for a course
to be given, at least five students must be registered in the course. Text.—The
Mathematical Theory of Investment by Skinner.

Mathematics 189. Plane Geometry.—Both Terms. 10:30; C. H. 8.
Mr. Shackelford.

This course is designed for students wishing to review the subject and for teachers
desiring special methods. Special attention is given to the solution of original
exercises. Text.—Wells's Essentials of Plane Geometry.

Mathematics 190. Solid Geometry.—Both Terms. 2:30; C. H. 6.
Mr. Shackelford.

This course is designed for students wishing to review the subject and for teachers.
Text.—Wells's Essentials of Solid Geometry. Special attention is given to
Solution of original Exercises.

Mathematics 324. Review of High School Algebra.—First Term.
3:30; C. H. 8. Credit, 2 hours. Mr. Michie.

A rapid review of elementary topics, followed by the study of radicals, exponents
and quadratic equations. Text.—Wentworth's Complete Algebra. To be
given first term.

Mathematics 325. Quadratics and Beyond.—Second Term. 3:30;
C. H. 8. Credit, 2 hours. Mr. Michie.

The subjects to be studied are graphs, linear systems, the binomial theorem, variation
and the progressions. Text.—Second course in Algebra, Hawks, Luby and
Touton.

Courses 324 and 325 give two units of entrance credit to colleges.