 | University of Virginia record February, 1914 |  |
For Undergraduates.
[Students entering January 1 may begin the study of Trigonometry
in Course A1, or College Algebra in Course A2. Students entering
about March 15 may begin College Algebra in Course A1, or
Elementary Analytical Geometry in Course A2.]
Mathematics A1, Sections I and II: Admission to the school prerequisite.—Each
section meets three times a week, and devotes about
three months to each of the three subjects—Geometry, Trigonometry,
and Algebra.
In Geometry the work begins with the solution of numerous
original exercises in Plane Geometry, and proceeds through Solid
Geometry with constant drill in original exercises.
In 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.
In 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.
(B. A. or B. S. credit, 3 session-hours.) Section I, Tuesday, Thursday,
Saturday, 9-10. Section II, Tuesday, Thursday, Saturday, 10-11.
Cabell Hall. Professor Page.
Mathematics A2: Mathematics A, B, C, and D, of the general entrance
requirements, prerequisite.
This section meets three times a week, and devotes about three
months to each of the three subjects, Trigonometry, Algebra, and
elementary Analytical Geometry.
The first two terms of the session are devoted to Trigonometry
and Algebra, respectively; and the courses covered in these subjects
are exactly the same as those described above for Sections I and II
of Course A1. In elementary Analytical Geometry, to which the
third term is devoted, the class begins with a study of the Cartesian
graphical representation of equations. Especial attention is paid to
the straight line and the general equation of the first degree in two
variables. The course is intended to prepare for the study of the
Analytical Geometry of the Conic Section. Monday, Wednesday,
Friday, 9-10. Cabell Hall. Professor Page.
Text-Books.—Venable, Legendre's Geometry, with Exercises; Loney, Trigonometry,
Part I; Murray, Spherical Trigonometry; Rietz and Grathorne, College Algebra;
Fine and Thompson, Coördinate Geometry.
In addition to the regular examination held during the session,
there will be held special examinations on the work of Courses A1
and A2 at the opening of the session, to which any student registered
in the School of Mathematics will be admitted. To a student
successfully passing one of these examinations will be given a certificate
of proficiency in the work required in Course A1 or A2. Advanced
standing on the work of Course A1 or A2 will in general, be
granted a student entering from a secondary school only after he
has passed here the prescribed examination on the course in question.
Mathematics B1: Course A1 prerequisite.—This class meets
three times each week throughout the session. The work of the
course consists of an advanced course in trigonometry, taking up the
subject where left off in Course A1. The major portion of the session's
work, however, is given to the study of Analytical Geometry
of two dimensions in Cartesian and polar Coördinates. A special
study of the conic sections is followed by the study of a number of
classical curves. This course is required of all students who elect
mathematics for an undergraduate degree. (B. A. or B. S. credit,
3 session-hours.) Monday, Wednesday, Friday, 11-12. Cabell Hall.
Professor Page.
Mathematics B2: Course B1 prerequisite.—This course is devoted
to a preliminary study of the Differential and Integral Calculus.
It extends throughout the session, the class meeting one hour three
times each week during the nine months. The treatment of the
subject involves the operations of differentiation and integration of
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, curve tracing, arc length, and areas, the volumes
of revolutes and of special forms of other surfaces, areas of
surfaces of revolution, and finally the solutions of the more important
simple problems in ordinary differential equations. This course
is an elective-at-large for students applying for undergraduate degrees.
(B. A. or B. S. credit, 3 session-hours.) Tuesday, Thursday,
Saturday, 12-1. Cabell Hall. Professor Echols.
Mathematics B3: Course A2 prerequisite.—This course is intended
for engineering students only. The class meets three times
each week throughout the session. The subject of Analytical Geometry
is taken up at the point left off in Course A2 and finished preliminary
to the Calculus. The subject of Differential and Integral Calculus
is taken up about November first and pursued during the remainder
of the session. Less stress is laid on the principles of the subject
than in Course B2, the main interest being the formal application of
the operations of the Calculus to the solution of problems with the
view of making the student familiar with these operations to enable
him to apply them to the problems of applied mathematics which
he is to meet in engineering. Credit to engineering students for
work done elsewhere in this course or any portion of it must be obtained
through application to and with the approval of the engineering
faculty. (B. A. or B. S. credit, 3 session-hours.) Monday,
Wednesday, Friday, 12-1.[1]
Cabell Hall. Professor Echols.
| University of Virginia record February, 1914 | |