 | University of Virginia record March, 1911 |  |
MATHEMATICS.
1. Advanced Algebra.—The work will begin with the progressions
and proceed 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 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 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.
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.
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.
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
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.
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 Stone. 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 Stone. 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 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 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.
Section I, daily, from 3:30 to 4:30; Section II, daily, from 4:30
to 5:30. Professor Converse. 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. Professor Converse, Cabell
Hall, Room 8.
Section II, daily, from 9:30 to 10:30; Section III, daily, from 2:30
to 3:30. Professor Collier. 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
arithmetic; correlation of arithmetic with other subjects.
Section I, daily, from 8:30 to 9:30; Section II, daily, from 2:30 to
3:30. Mrs. Moffett. Cabell Hall, Room 5.
University Credit.—Those students completing Courses 1, 3, and 4
will be credited with Course 1A as outlined in University of Virginia
catalogue, provided the conditions on page 16 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—Mathematics
1, 2, 3, 4, 5, 6, 7, and 8; Special Certificate—Mathematics 1, 2,
3, 4, 5, 6, 7, and 8; Professional Grammar Grades Certificate—Mathematics
11; Professional Primary Grades Certificate—Mathematics 11.
| University of Virginia record March, 1911 | |