 | University of Virginia record February, 1911 |  |
For Undergraduates.
[Students entering January 1 may begin the study of Trigonometry
in Course 1A, or College Algebra in Course 2A. Students entering about
March 15 may begin College Algebra in Course 1A, or Elementary Analytical
Geometry in Course 2A.]
Course 1A, 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. Section I.
Tuesday, Thursday, Saturday, 9-10. Section II. Tuesday, Thursday, Saturday,
10-11. Cabell Hall. Professor Page.
Course 2A: 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 1A. In elementary Analytical Geometry, to which the third term
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. 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 Crathorne, 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 1A and 2A
Tuesday, September 18, 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 1A or 2A. Advanced standing on the work of Course
1A or 2A will be granted a student entering from a secondary school only
after he has passed here the prescribed examination on the course in
question.
Course 3B: Course 1A prerequisite.
The class devotes three months to Analytical Geometry and six
months to the Differential and Integral Calculus.
In Analytical Geometry, the Cartesian method of representing a
function by points, lines, and surfaces is considered, and a special study
of the conic sections is made. In three dimensions, as far as the time
permits, the straight line, the plane and the conicoids are introduced
and discussed.
In the Calculus a careful study of the functions of one variable is
made, and is followed by the study of functions of two and three variables
as far as the time allows.
In this class both the educational and the practical value of the
topics considered, as well as their importance with regard to all further
work in mathematics, are clearly brought to view. Constant drill at the
board and frequent examination and repetition of principles are insisted
on. Tuesday, Thursday, Saturday, 12-1. Cabell Hall. Professor Echols.
Course 4B: This course is required of all engineering students,
Course 2A being prerequisite. All engineering students applying for
advanced standing in this course must pass a written examination on the
topics of Course 2A. The work of the course begins the analytical
geometry of the conic sections with the study of the circle or parabola
and takes up the Differential Calculus early in November, concluding it
in March. The remainder of the session is devoted to the Integral Calculus.
In this course less attention is given to the educational and theoretical
Wednesday, Friday, 12-1. Cabell Hall. Professor Echols.
Text-Books.—Charles Smith, Conic Sections; Echols, Notes on Analytical
Geometry of Three Dimensions; Echols, Differential and Integral Calculus.
| University of Virginia record February, 1911 | |