University of Virginia Library

SCHOOL OF MATHEMATICS

Mathematics A1: Mathematics A1, A2 and B, of the entrance requirements,
prerequisite.—Students with high school credit for solid geometry not admitted.
First term: Trigonometry. Second term: Solid geometry. Third
term: College algebra. (B.A. or B.S. credit, 3 session-hours.) Professor
Luck, Mr. Wells, Mr. Larkin.

Mathematics A2: Mathematics A1, A2 B, and C of the entrance requirements
prerequisite. First term: Trigonometry. Second and third terms:

Analytical geometry with related topics of college algebra. (B.A. or B.S.
credit, 3 session-hours.) Professor Luck, Mr. Wells, Mr. Larkin.

Mathematics A3: General Mathematics: Mathematics A1, A2, B, C, and
D, of entrance requirements, prerequisite.—First and second terms: A review
of algebra, geometry and trigonometry from a modern point of view and an introduction
to analytical geometry. Third term: An elementary study of sequences,
limits and of the operations of differentiation and integration of the
calculus with applications to problems in geometry, physics and chemistry. (B.A.
or B.S. credit, 3 session-hours.) Associate Professor Linfield.

Mathematics A4: Mathematics A1, A2, and B, of the entrance requirements,
prerequisite.—First term: Trigonometry, graphical algebra and
logarithms. Second and third terms: College algebra with applications to the
mathematics of finance. (B.S. in Commerce credit, 3 session-hours.) Assistant
Professor Hulvey.

Mathematics B1: Mathematics A1 prerequisite.—Analytical geometry of
two dimensions. (B.A. or B.S. credit, 3 session-hours.) Professor Page.

Mathematics B2: Mathematics A2, A3 or B1 prerequisite.— A preliminary
study of the differential and integral calculus. With application to Geometry
and Kinematics. (B.A. or B.S. credit, 3 session-hours.) M. W. F. 11½
—12½. Professor Echols.

Mathematics C1: Mathematics B1 and B2 or Mathematics A2 or A3 and
B2, prerequisite.—Analytical geometry of three dimensions; advanced differential
and integral calculus; differential equations. Professor Echols.

Mathematics C2: Higher Algebra: Mathematics B2, prerequisite.—First
term: Operations with and transformations of matrices, determinants, vectors
and tensors. Second term: Invariants and covariants of polynomials, particularly
of bilinear forms and of quadratic forms. Third term: One-to-one
quadratic transformations and an introduction to contact transformations. Numerous
applications will be made to analytical geometry, projective geometry,
non-Euclidean geometry and mechanics. Hours by appointment. Associate Professor
Linfield.

Mathematics C3: Higher Geometry: Mathematics C2, prerequisite.—
First term: Algebraic plane curves with particular attention to curves of the
3rd degree or the 3rd class. Second term: Circle and sphere geometry and circular
transformations. Third term: Line geometry with a brief study of the
theory of screws. Hours by appointment. Associate Professor Linfield. Only
one of the courses C2 and C3 will be given in any one year.

Mathematics C4: Projective Geometry: An introductory course. Hours
by appointment. Professor Luck.

Mathematics D1: Mathematics C1 and a reading knowledge of German
prerequisite.—Differential Geometry: This course opens with a brief study of

ordinary differential equations from the Lie group standpoint and continues with
a study of the metric differential properties of plane and space curves and of
surfaces, including important curve families on surfaces such as lines of curvature,
asymptotic curves, geodesics, etc. Hours by appointment. Professor Luck.
Only one of the courses C4 and D1 will be given in any one year.

Mathematics D2: Mathematics C1, prerequisite.—Ordinary and partial differential
equations. Hours by appointment. Professor Page.

Mathematics D3: Mathematics C1 and C2, prerequisite.—Analysis (Functions
of real variables). The course will begin with a study of the definitions of
the seven algebraic operations and of the limit of a sequence. Continuous, differentiable
or integrable functions of real variables will then be defined through
the use of the limits of sequences and their important properties deduced from
these definitions. The third term will be devoted to a study of some particular
transcendental functions of real variables. Great emphasis will be laid throughout
the course on detailed rigorous proof. Hours by appointment. Associate
Professor Linfield.

Mathematics D4: Mathematics C1 and D3, prerequisite.—Theory of functions
of a complex variable. Vector Analysis. Hours by appointment. Professor
Echols.

Summer Quarter 1927

Mathematics sA1-I: Section I. Trigonometry. Both Terms. 1 ses-hour.
Professor Page and Mr. Wells.

Mathematics sA1-I: Section II. Trigonometry. First Term. 1 session-hour.
Associate Professor Oglesby.

Mathematics sA1-II: Section I. Solid Geometry. Both Terms. 1 session-hour.
Associate Professor Oglesby and Professor Messick.

Mathematics sA1-II: Section II. Solid Geometry. First Term. 1
session-hour. Professor Simpson.

Mathematics sA1-III: Section I. Advanced Algebra. Both Terms. 1
session-hour. Mr. Wells.

Mathematics sA1-III: Section II. Advanced Algebra. First Term. 1
session-hour. Mr. Wells.

Mathematics sB1-I: Analytic Geometry of Two Dimensions. First
Term. 1 session-hour. Professor Page.

Mathematics sB1-II: Analytic Geometry of Two Dimensions. Second
Term. 1 session-hour. Mr. Wells.

Mathematics sB1-III: Analytic Geometry of Three Dimensions. Second
Term. 1 session-hour. Professor Messick.

Mathematics s106-II: Co-ordinate Geometry. Beginner's Class. First
Term. Mr. Wells.

Mathematics s107-III: Co-ordinate Geometry. Second Term. 1 session-hour.
Professor Luck.

Mathematics sB2-I: Differential Calculus. First Term. 1 session-hour.
Mr. Wells.

Mathematics sB2-II: Differential Calculus. First Term. 1 session-hour.
Mr. Wells.

Mathematics sB2-III: Integral Calculus. Second Term. 1 session-hour.
Mr. Wells.

Mathematics s58: Differential Equations. First Term. 1 session-hour.
Professor Simpson.

Mathematics s59: Differential Equations. Second Term. 1 session-hour.
Professor Messick.

Mathematics s65: The Teaching of Geometry. First Term. 1 session-hour
elective in Education. Professor Simpson.

Mathematics s66: Theory and Practice of Teaching Algebra in Secondary
Schools. Second Term. 1 session-hour elective in Education. Professor
Messick.