 | The University of Virginia record March 1, 1936 |  |
Courses for Graduates
Mathematics: C1: Advanced Calculus: Mathematics C8 prerequisite.—
Elliptic functions and integrals. Legendre's polynominals and Bessel's function
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.
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.
| The University of Virginia record March 1, 1936 | |