For Undergraduates.
Students entering at the beginning of the second term may begin the
study of Geometry in Mathematics A1, or College Algebra in Mathematics
A2. Students entering for the third term 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, 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 Progressions; the Binomial Formula;
Convergence and Divergence of Series with special study of the Binomial,
Exponential, and Logarithmic Series; Inequalities and Determinants; the
Theory of Equations.
(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.
First Term: Trigonometry, as in Mathematics A1, first term. Textbooks:
Loney, Trigonometry, Part I; Murray, Spherical Trigonometry.
Second Term: Algebra, as in Mathematics A1, third term. Text-book:
Reitz and Crathorne, College Algebra.
Third Term: Elementary Analytical Geometry, beginning with 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. Text-books: Venable,
Legendre's Geometry; Fine
and Thompson,
Coördinate Geometry.
(B.A. or B.S. credit, 3 session-hours.) Monday, Wednesday, Friday,
9-10. Cabell Hall. Professor Page.
Mathematics B1: Mathematics A1 prerequisite.—Trigonometry, continued
from the point reached in Mathematics A1; Analytical Geometry of
two dimensions in Cartesian and polar Coördinates, with a special study of
the conic sections and of a number of classical curves. (B.A. or B.S. credit,
3 session-hours.) Monday, Wednesday, Friday, 11-12. Cabell Hall. Professor
Echols.
Mathematics B2: Mathematics B1 prerequisite.—A preliminary study of
the Differential and Integral Calculus, involving 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. (B.A. or B.S. credit, 3 session-hours.)
Tuesday, Thursday, Saturday, 12-1. Cabell Hall. Professor Echols.
Mathematics B3: Mathematics A2 prerequisite.—For engineering students
only. Analytical Geometry, continued from the point reached in
Mathematics A2; Differential and Integral Calculus. 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. For examination dates, see Engineering Schedule, p. 237,
Mathematics 103-4-5. (B.A. or B.S. credit, 3 session-hours.) Monday,
Wednesday, Friday, 12-1. Cabell Hall. Professor Echols.
