 | The University of Virginia record April 15, 1936 |  |
SCHOOL OF MATHEMATICS
Note: Only one course in A Mathematics will be given credit toward any
baccalaureate degree.
Mathematics A1, A2: Trigonometry, college algebra, analytical geometry.
(B.A. or B.S. credit, 1 course.)
Mathematics A1: For students offering Mathematics A and C of the
entrance requirements.—Sections meet 5 times each week.
Professors Luck and McShane, Mr. Wells, Mr. Aylor and Mr. Blincoe.
Mathematics A2: For students offering Mathematics A, C and either D
or E of the entrance requirements.—Sections meet 3 times each week.
Professor Luck, Mr. Wells, Mr. Aylor and Mr. Blincoe.
Mathematics B1: Mathematics A and C of the entrance requirements prerequisite.—College
algebra and the mathematics of finance. (B.S. in Commerce
credit, 1 course.) This course is required for the B.S. in Commerce degree.
Associate Professor Hulvey and Mr. Wells.
Mathematics B2: Mathematics A1 or A2 prerequisite.—A preliminary
study of the differential and integral calculus with applications. (B.A. or B.S.
credit, 1 course.)
Professor Whyburn.
Mathematics C1: Advanced Calculus: Mathematics C8 prerequisite.—
Elliptic functions and integrals. Legendre's polynominals and Bessel's functions
and their application to problems in attraction, the Gamma function, calculus of
equations and to integral equations.
Associate Professor Linfield.
Mathematics C2: Differential Geometry: Mathematics C8 and C9 prerequisite.—Metric
differential properties of curves and surfaces in Euclidean
space of three dimensions.
Professor Luck.
Mathematics C3: Higher Geometry: Mathematics C9 prerequisite.—Algebraic
plane curves; circle and sphere geometry; line geometry, including differential
line geometry and the use of tensors.
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 McShane.
Mathematics C5: Theory of Functions of a Complex Variable.
Professor McShane.
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: Foundations of Geometry: Axiomatic developments of
the fundamental concepts in Euclidean, non-Euclidean and projective geometries.
Professor Whyburn.
Mathematics C8: 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.
Associate Professor Linfield.
Mathematics C9: Higher Algebra: Mathematics B2 prerequisite.—Operations
with vectors, matrices, determinants and invariants, and their applications
to analytical geometry.
Associate Professor Linfield.
Mathematics C10: Projective Geometry: Mathematics B2 prerequisite.—
An introductory course.
Professor Luck.
Mathematics D1: Set Theoretic Topology.
Professor Whyburn.
Mathematics D2: Combinatorial Topology.
Professor Whyburn.
Mathematics D3: Modern Theories of Integration.
Professor McShane.
Mathematics D4: Analytic Sets and Abstract Spaces.
Professor Whyburn.
Mathematics D5: Calculus of Variations.
Professor McShane.
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 and certain phases of Analysis and
are intended to prepare the Ph.D. candidate to do research in these subjects.
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.
In addition Mathematics Journal Meetings are held on alternate weeks,
the sessions being devoted to research activities of students and faculty members
and to reports on articles of interest in the current mathematical literature.
| The University of Virginia record April 15, 1936 | |