 | University of Virginia record March, 1910 |  |
MATHEMATICS.
Professor Echols.
Professor Page.
Mr. Smith.
Professor Stone.
1. Review of High School Algebra.—The general purpose of this
course is to give to the teachers and students of high school Algebra
a thorough review of the work beginning with factoring. The ground
covered in six weeks is that of a full year's work in the high school,
so that a fair knowledge of algebraic principles and methods is presupposed.
The topics studied will be the following: Factoring, highest
common factor, lowest common multiple, fractions, simple equations,
involution, evolution, exponents, radicals, quadratic equations,
and simultaneous equation involving two or three unknowns of the
first or second degree. Emphasis will be laid upon the solution of
numerous problems illustrating the principles.
Text-Book.—Students should bring any text-book now in use in
the high schools.
Daily, from 8:30 to 9:30. Mr. Smith. Cabell Hall, Room 8.
2. Advanced Algebra.—The work will begin 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. A sufficient review will be given in the first of the term
to cover all the topics needed by the high school teacher and to make
the course intelligible to those who have some acquaintance with
algebra.
Text-Book.—Rietz and Crathorne's Treatise on Algebra.
Daily, from 9:30 to 10:30. Professor Page. Cabell Hall, Room 8.
3. Plane Geometry.—This course is designed for students wishing
to review this subject or to repair deficiencies, for teachers and those
who are preparing for college examinations. It is presumed that
students attending the course have had a previous knowledge of the
subject as a whole or in part. The lectures and quizzes will be framed
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.
Daily, from 10:30 to 11:30. Professor Echols. Cabell Hall, Room 8.
4. Solid Geometry.—The course presupposes a knowledge of plane
geometry as given in the previous course and in the current text
books. 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.
Text-Book.—Venable's Elements of Geometry.
Daily, from 12:15 to 1:15. Professor Echols. Cabell Hall, Room 6.
5. Plane and Spherical Trigonometry.—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.
Text-Books.—Loney's Trigonometry, Part I; Murray's Spherical Trigonometry;
Murray's Five-Place Tables.
Daily, from 8:30 to 9:30. Professor Page. Cabell Hall, Room 6.
6. Analytic Geometry.—This course will be helpful to students
wishing to review the subject and to those just beginning it. Especial
attention will be given to the study of the locus of an equation and
to the Cartesian method of representing loci. The several conic sections
will be separately considered and the course will close with a
study of the general equation of the second degree.
Text-Book.—Tanner and Allen's Analytic Geometry.
Daily, from 3:30 to 4:30. Professor Stone. Cabell Hall, Room 7.
7. Differential Calculus.—The differentiation of the elementary functions
will be carefully studied and the methods of the calculus will
be applied to problems of geometry and mechanics.
Text-Book.—Granville's Differential and Integral Calculus.
Daily, from 4:30 to 5:30. Professor Stone. Cabell Hall, Room 7.
8. Integral Calculus.—The fundamental principles of integration
will be studied, with the usual applications to areas, lengths, surfaces,
and volumes.
Text-Book.—Granville's Differential and Integral Calculus.
Daily, from 5:30 to 6:30. Professor Stone. Cabell Hall, Room 7.
Note.—The method of presentation in the courses of Plane and
Solid Geometry will be by lectures and text references, with frequent
quizzing and blackboard exercises by the student. Students
are requested to bring with them such texts as they have studied
and have used for teaching. A collection of modern texts in English
and foreign languages will be used for purposes of comparison and
in illustration of the different methods of presenting the subject in
this and other countries.
Credit.—Those students completing Courses 2, 4, and 5 will be
catalogue, provided the conditions on pages 16 and 17 are fulfilled.
Appropriate credit for actual work accomplished in Courses 6, 7, and
8 will be given for the corresponding courses outlined in the University
of Virginia catalogue.
| University of Virginia record March, 1910 | |