University of Virginia Library

For Undergraduates.

Students entering January 1 may begin the study of Geometry in
Mathematics A1, or College Algebra in Mathematics A2. Students entering
about March 15 may begin College Algebra in Mathematics A1, or
Elementary Analytical Geometry in Mathematics A2.

Mathematics A1: Mathematics A, B, and C of the entrance requirements,
prerequisite.

First Term: 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.

Second Term: 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.

Third Term: 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. Section III, Tuesday,
Thursday, Saturday, 11-12. Section IV, Monday, Wednesday, Friday,
9-10. Cabell Hall. Professor Page.

Mathematics A2: Mathematics A, B, C, and D, of the entrance requirements,
prerequisite.

The first two terms of the session are devoted to Trigonometry and
Algebra, respectively; and the first and third terms covered in these subjects
are exactly the same as those described above for the first and third
terms of Mathematics A1. In elementary Analytical Geometry, to which
the third term is devoted, the class begins with a study of the Cartesian
and polar systems of Coördinates, with numerous exercises in the 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. (B. A. or B. S. credit, 3 session-hours.) Monday,
Wednesday, Friday, 9-10. Cabell Hall. Professor Page.

Text-Books: Venable, Legendre's Geometry, with Exercises; Loney, Trigonometry,
Part I; Murray, Spherical Trigonometry; Reitz and Crathorne, College
Algebra; Fine and Thompson, Coördinate Geometry.

In addition to the regular examinations held during the session, there
will be held special examinations on the work of Mathematics 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 Mathematics A1 or A2. Advanced standing on the work of
Mathematics A1 or A2 will 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: Mathematics A1 prerequisite.—The work of the
course consists of an advanced course in trigonometry, taking up the subject
where left off in Mathematics 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. (B. A. or B. S.
credit, 3 session-hours.) Monday, Wednesday, Friday, 11-12. Cabell Hall.
Professor Page.

Mathematics B2: Mathematics B1 prerequisite.—This course is devoted
to a preliminary study of the Differential and Integral Calculus.
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, are 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. (B. A. or B. S. credit, 3 session-hours.) Tuesday,
Thursday, Saturday, 12-1. Cabell Hall. Professor Echols.

Mathematics B3: Mathematics A2 prerequisite.—This course is intended
for engineering students only. The subject of Analytical Geometry
is taken up at the point left off in Mathematics 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 Mathematics 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 so that he can apply them to the problems
of applied mathematics which he is to meet in engineering. Credit to
engineering students for work done elsewhere covering 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.