 | University of Virginia record March 15, 1916 |  |
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 of 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.—Reitz 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 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
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. More elementary courses in these two subjects will
be given 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
recitations will be spent studying the straight line. The conic sections
will be considered separately and the course will close with a
study of the general equation of the second degree.
Text-Book.—Loney's Coördinate Geometry.
Daily, from 10:30 to 11:30. Professor Michie. Cabell Hall,
Room 8.
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 8.
7. Integral Calculus.—The fundamental principles of integration
will be studied with the usual application 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 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 presupposed.
The subjects studied are the following: simple equations,
involution, evolution, doctrine of exponents, radicals, quadratics and
simultaneous quadratics. Emphasis will be laid upon the solution
of problems illustrating the principles.
Text-Book.—Wells' High School Algebra, D. C. Heath & Co.
Daily, from 3:30 to 4:30. Professor Michie. 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.
Daily, from 2:30 to 3:30. Mr. Givens. Cabell Hall, Room 8.
10. Review of Arithmetic.—See Schedule, p. 69.
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 9:30 to 10:30. Methods in Primary Arithmetic;
Section II, daily, from 3:30 to 4:30. 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 18 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—High School Grade—Mathematics 1, 2, 3, 4,
5, 6, 7, 8. Professional Grammar Grades Certificate—Mathematics 11
(Sec. II); Professional Primary Grades Certificate—Mathematics 11
(Sec. I).
| University of Virginia record March 15, 1916 | |