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 | The University of Virginia record April 1, 1935 |  |
SCHOOL OF MATHEMATICS
Courses for Undergraduates
Note: Only one course in A Mathematics will be given credit toward any
baccalaureate degree.
Mathematics A1, A2, A3: Trigonometry, college algebra, analytical geometry.
(B.A. or B.S. credit, 3 session-hours.)
Mathematics A1: For students offering Mathematics A1, A2, and B of the
entrance requirements.—Sections meet 5 times each week.
Professor Luck, Mr. Wells, Mr. Aylor and Mr. Blincoe.
Mathematics A2: For students offering Mathematics A1, A2, B and either
C or D of the entrance requirements.—Sections meet 3 times each week.
Professor Luck, Mr. Wells, Mr. Aylor and Mr. Blincoe.
Mathematics A3: For students of more than average ability in mathematics
who offer Mathematics A1, A2, B, C and D of the entrance requirements.
—Admission to this course is by special permission. Meets 3 times each week.
Professor Luck.
Mathematics A4: Mathematics A1, A2 and B of the entrance requirements
prerequisite.—College algebra and the mathematics of finance, (B.S. in
Commerce credit, 3 session-hours.) This course is required for the B.S. in
Commerce degree.
Associate Professor Hulvey and Mr. Wells.
Mathematics B1: Mathematics A1 as announced in catalogues prior to
1934-35 prerequisite.—Analytical geometry of two dimensions and an introduction
to the calculus. (B.A. or B.S. credit, 3 session-hours.) (This course will be
discontinued after the session 1935-36.)
Professor Luck.
Mathematics B2: Mathematics A2 or B1 prerequisite.—A preliminary
credit, 3 session-hours.)
Professor Whyburn.
Mathematics B3: Mathematics B2 prerequisite.—First term: Analytical
geometry of three dimensions and spherical trigonometry by the use of elementary
vector operations, like scalar products and vector products, and elementary
functions of matrices, like inverse and transpose. Second term: Advanced differential
calculus, including partial differentiation, gradients, Taylor's formula,
etc. Third term: Differential equations. (B.A. or B.S. credit, 3 session-hours.)
Associate Professor Linfield.
Mathematics B4: Higher Algebra: Mathematics B2 prerequisite.—Oper
ations with vectors, matrices, determinants and invariants, and their applications
to analytical geometry. (B.A. or B.S. credit, 3 session-hours.)
Associate Professor Linfield.
Mathematics B5: Projective Geometry: Mathematics B2 prerequisite.—
An introductory course. (B.A. or B.S. credit, 3 session-hours.)
Professor Luck.
Courses for Graduates
Mathematics C1: Advanced Calculus: Mathematics B3 prerequisite.—
Elliptic functions and integrals. Legendre's polynominals and Bessel's functions
and their application to problems in attraction, the Gamma function, calculus of
variations, and other related subjects, including an introduction to difference
equations and to integral equations. Given in alternate years with Mathematics C3.
Associate Professor Linfield.
Mathematics C2: Differential Geometry: Mathematics B3 and B4 prerequisite.—Metric
differential properties of curves and surfaces in Euclidean
space of three dimensions.
Professor Luck.
Mathematics C3: Higher Geometry: Mathematics B2 prerequisite.—Algebraic
plane curves; circle and sphere geometry; line geometry, including differential
line geometry and the use of tensors. Given in alternate years with
Mathematics C1. (Not offered in 1935-36.)
Associate Professor Linfield.
Mathematics C4: Theory of Functions of a Real Variable:
Mathematics B2 prerequisite.—The real number system; linear point sets; continuity
and discontinuity of functions; differentiation and differentials, jacobians,
integration: Riemann and Lebesgue theories; improper integrals. Infinite
series: general convergence theories; power series; Fourier's series and integrals.
Professor Whyburn.
Mathematics C5: Theory of Functions of a Complex Variable.
Professor in Charge to be Announced Later.
Mathematics C6: Introductory Topology: Mathematics B2 prerequisite.—Foundations
of mathematics based on a set of axioms; metric spaces; convergence
and connectivity properties of point sets; continua and continuous
curves; the topology of the plane.
Professor Whyburn.
Mathematics C7: a. Foundations of Geometry. b. Non Euclidean
Geometry.
Professor Whyburn.
Mathematics D1: Set Theoretic Topology.
Professor Whyburn.
Mathematics D2: Combinatory Topology.
Professor in Charge to be Announced Later.
Mathematics D3: Analysis.
Professor in Charge to be Announced Later.
Mathematics D4: Analytic Sets and Abstract Spaces.
Professor Whyburn.
Mathematics D5: Application of Topology to Function.
Professor in Charge to be Announced Later.
The courses designated by C are fundamental in character and are designed
to give the student a basic knowledge in most of the major branches of mathematics
and to provide a foundation for more advanced study in any field of
mathematics the student may elect. The program of a candidate for the degree
of M.A. or M.S. will consist of a limited number of these courses and candidates
for the Ph.D. degree will normally take all of them.
The courses designated by D are more advanced in character. They provide
a thorough knowledge of Topology in its various phases and relation to other
branches of mathematics and are intended to prepare the Ph.D. candidate to do
research in the subject.
The Echols Mathematics Club is composed of all officers of instruction in
mathematics, and those undergraduates who show marked proficiency in this
field. The club meets twice monthly for discussion of mathematical subjects.
| The University of Virginia record April 1, 1935 | |