 | University of Virginia record April, 1914 |  |
MATHEMATICS
1. Advanced Algebra.—The work will begin with Quadratics and
proceed with the progressions, 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 Treaties on Algebra.
Daily, from 8:30 to 9:30. Professor Page. Cabell Hall, Room 6.
2. 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 therefore with the view of strengthening and harmonizing
the knowledge 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 6.
3. Solid Geometry.—The course presupposes a knowledge of plane
geometry as given in the previous course and in the current textbooks.
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.
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
languages will be used for purposes of comparison and in illustration
of the different methods of presenting the subject in this and
other countries. More elementary courses in these two subjects will
be if there is sufficient demand for them.
4. 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 9:30 to 10:30. Professor Page. Cabell Hall, Room 6.
5. 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.—Taner and Allen's Analytic Geometry.
Daily, from 3:30 to 4:30. Professor Michie. Cabell Hall, Room 7.
6. 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.—Echols' Differential and Integral Calculus.
Daily, from 4:30 to 5:30. Professor Michie. Cabell Hall, Room 7.
7. Integral Calculus.—The fundamental principles of integration
will be studied, with the usual applications to areas, lengths, surfaces,
and volumes.
Text-Book.—Echols' Differential and Integral Calculus.
Daily, from 5:30 to 6:30. Professor Michie. Cabell Hall, Room 7.
8. 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 simple equations. 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 pre-supposed. The topics studied will be the following: simple
equations, involution, evolution, exponents, radicals, quadratic equations,
and simultaneous equations of the first or second degree 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 3:30 to 4:30. Professor Johnson. Cabell Hall,
Room 8.
9. Beginners' Algebra.—This course is intended for those who have
never studied algebra and who desire to take the examination for
first grade certificate. It will require two or three hours of study
out of class. Section III will be conducted for those who have a
slight acquaintance with the subject and who may be able to proceed
more rapidly than those in the first two sections.
Section I, daily, from 12:15 to 1:15. For those who have never
studied algebra. Professor Ware. Cabell Hall, Room 8.
Section II, daily, from 9:30 to 10:30. For those desiring more
rapid review.
Section III, daily, from 2:30 to 3:30, for those preparing for State
Examination. Professor Ware. Cabell Hall, Room 8.
10. Review of Arithmetic.—This course will be systematic and
thorough, preparing students for the State examination for first
grade certificate. It will include daily recitation in the essentials of
arithmetic. Special attention will be given to vocational problems,
commercial arithmetic and all the applications of percentage. The
lessons assigned will be of such a nature that they will not only be
an excellent review drill for the examination but will serve as supplementary
work in the teachers' own schoolrooms.
Section I, daily, from 9:30 to 10:30; Section II, daily, from 3:30 to
4:30. Mrs. Moffett. Cabell Hall, Room 5.
11. Methods in Arithmetic.—The following phases of the teaching
of this subject will be discussed: outlines for the work of each month
in each grade; lessons embodying the practical application of the
principles of arithmetic; methods and devices for interesting pupils
in primary and grammar grades; the utility and culture values of
arithmetic; correlation of arithmetic with other subjects.
Section I, daily, from 8:30 to 9:30. Methods in Primary Arithmetic;
Section II, daily, from 2:30 to 3:30. Methods in Grammar
Grade Arithmetic. Mrs. Moffett. Cabell Hall, Room 5.
University Credit.—Those students completing Courses 1, 3, and
4 will be credited with Course A1 as outlined in University of Virginia
catalogue, provided the conditions on page 17 are fulfilled.
Appropriate credit for actual work accomplished in Courses 5, 6
and 7 will be given for the corresponding courses outlined in the
University of Virginia catalogue.
Certificate Credit.—Summer School Professional Certificate Advanced
Grade—Mathematics 1, 2, 3, 4, 5, 6, 7, and 8; Summer School
Professional Certificate—College Grade—Mathematics 1, 2, 3, 4, 5,
6, 7, and 8; Professional Grammar Grades Certificate—Mathematics
10 and 11 (Sec. II); Professional Primary Grades Certificate—Mathematics
11 (Sec. I).
| University of Virginia record April, 1914 | |