The University of Virginia record :: March 15, 1919

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. C. Solid Geometry.—9:30; C. H. 8. Credit, 2
hours (one session-hour). Mr. Echols.

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. C. Plane and Spherical Trigenometry.—9:30; C.
H. 6. Credit, 2 hours (one session-hour). Mr. Page.

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. In spherical trigonometry the course
will end with the solution of oblique spherical triangles.

Corresponds to first term of Mathematics, A1 or A2, regular session. Text.—
Conant's Plane Trigonometry; Murray's Spherical Trigonometry; Murray's Five-Place
Tables.

Mathematics 53. C. Analytical Geometry.—4:30; C. H. 8. Credit,
2 hours (one session-hour). Mr. Michie.

Elementary Analytical Geometry, beginning with the cartesian and polar systems
with numerous exercises in graphical representation of equations. Especial attention
is paid to the straight line, the circle and the general equation of the first
degree in two variables.

This course is intended to prepare for the study of the Analytical Geometry of the
conic sections. Text.—Fine and Thompson's Coördinate Geometry.

Mathematics 54. C. Differential Calculus.—9:30; C. H. 7. Credit,
2 hours (one session-hour). Mr. Michie.

The differentiation of the elementary functions, with applications to the expansion
of functions in series, evaluation of illusory forms, maximum and minimum values;
the applications to geometry of curves in the problems of tangency, contact, and
curvature.

Corresponds to second term of Mathematics B3, regular session. Text.—Osborne's
Differential and Integral Calculus.

Mathematics 55. C. Integral Calculus.—12:15; C. H. 7. Credit, 2
hours (one session-hour). Mr. Michie.

The fundamental principles of integration will be studied with the usual application
to areas, lengths, surfaces, and volumes.

Corresponds to third term of Mathematics B3, regular session. Text.—Osborne's
Differential and Integral Calculus.

Mathematics 56. C. Coördinate Geometry.—10:30; C. H. 7. Credit,
2 hours (one session-hour). Mr. Michie.

Analytical Geometry continued from the point reached in Course 53.

Corresponds to first term of Mathematics B3, regular session. Text.—Fine and
Thompson's Coödinate Geometry.

Mathematics 188. C. Plane Geometry.—10:30; C. H. 6. Credit, 2
hours. 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 189. C. Plane Geometry.—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 will be paid to the solution of original
exercises. Text.—Wentworth & Smith's Plane Geometry.

Mathematics 190. C. Solid Geometry.—3:30; C. H. 6. Mr. Shackelford.

This course is designed for students wishing to review the subject and for teachers
desiring special methods.

Mathematics 191. C. Differential Equations.—8:30; C. H. 7. Credit,
2 hours. Mr. Michie.

A study of the more common types of ordinary differential equations, especially
those of the first and second orders, with emphasis on geometrical interpretations and
applications to geometry, mechanics, and physics. Text.—Campbell's Differential
Equations.

Mathematics 324. C. Review of High School Algebra.—3:30; C. H.
8. Mr. Michie.

The subjects to be studied are graphs, simple equations, involution, evolution, exponents,
radicals, inequalities, quadratics, and the progressions. Text.—Wells and
Hart's High School Algebra (D. C. Heath & Co.).

Mathematics 325. Elementary Algebra. R.—4:30; C. H. 7. Credit, 2
hours. Miss Foster.

This course is intended for those who have not studied algebra or who desire a
review of beginners' algebra. Will not be organized with fewer than 10.

Mathematics—Review of Arithmetic. R.—8:30; C. H. 5. Mr. Dobbins.
See page 15.

Mathematics—Methods in Grammar Grade Arithmetic.—See Education
137 and 138.

University of Virginia Library

MATHEMATICS