 | The University of Virginia record March 15, 1917 |  |
MATHEMATICS
Mathematics 50 H. A. Advanced Algebra.—8:30; C. H. 6. 2
hours (one session-hour). Mr. Page.
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 and 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 188. H. A. Plane Geometry.—10:30; C. H. 6. 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. H. A. Plane Geometry.—10:30; C. H. 2. Mr.
Gaver.
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 51. H. A. Solid Geometry.—12:15; C. H. 6. 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. H. A. Plane and Spherical Trigonometry.—9:30;
C. H. 6. 2 hours (one session-hour). Mr. Page.
The course in plane trigonometry will begin with the definitions
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.—Loney's Trigonometry, Part 1; Murray's Spherical Trigonometry;
Murray's Five-Place Tables.
Mathematics 53. H. A. Analytical Geometry.—4:30; C. H. 8. 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. H. A. Differential Calculus.—5:30; C. H. 8. 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. H. A. Integral Calculus.—9:30; C. H. 8. 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. H. A. Coordinate Geometry.—10:30; C. H. 7.
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 Coördinate Geometry.
Mathematics 190. H. A. Calculus.—8:30; C. H. 8. 2 hours. Mr.
Michie.
Not intended to supplant the more thorough college course, but
for students with limited time and for review. The elements of the
conceptions and their application. Students will be thoroughly
drilled in the statement of Physical and Chemical problems
in terms of the calculus. This course is especially recommended as
a preliminary to the course in Physical Chemistry offered in the
University of Virginia and to other courses in which a knowledge of
calculus is desirable.
Text.—Osborne's Differential and Integral Calculus and Mollor's
Higher Mathematics.
Mathematics 191. H. A. Differential Equations.—12:15; C. H.
8. 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.—Johnson's Differential Equations.
Mathematics 224. H. A. 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 225. Elementary Algebra.—2:30; C. H. 8. 2 hours.
Mr. Givens.
This course is intended for those who have not studied algebra
or who desire a review of beginners' algebra.
Mathematics—Review of Arithmetic.—See schedule, page 22.
Mathematics—Methods in Primary Arithmetic.—See Education 139.
Mathematics—Methods in Grammar Grade Arithmetic.—See Education
138.
| The University of Virginia record March 15, 1917 | |