William H. Barker
Isaac Henry Wing Professor of Mathematics
Searles Science Building - 105
Teaching this semester
MATH 1800. Multivariate Calculus, A
Multivariate calculus in two and three dimensions. Vectors and curves in two and three dimensions; partial and directional derivatives; the gradient; the chain rule in higher dimensions; double and triple integration; polar, cylindrical, and spherical coordinates; line integration; conservative vector fields; and Green’s theorem. An average of four to five hours of class meetings and computer laboratory sessions per week.
MATH 2404. Geometry
A survey of modern approaches to Euclidean geometry in two dimensions. Axiomatic foundations of metric geometry. Transformational geometry: isometries and similarities. Klein’s Erlanger Programm. Symmetric figures. Other topics may be chosen from three-dimensional geometry, ornamental groups, area, volume, fractional dimension, and fractals.
- A.B. Binghamton University
- Ph.D. Massachusetts Institute of Technology
- Geometry, Lie Theory, Analysis
Books, Reports, and Monographs
Continuous Symmetry: From Euclid to Klein
William Barker and Roger Howe
Supplemental Materials (Errata, Revisions, Course Resources)
Review of Continuous Symmetry from MAA Reviews.
Curriculum Foundations Project: Voices of the Partner Disciplines
The individual reports are available for downloading
CUPM Curriculum Guide 2004
Harmonic Analysis on Reductive Groups
Edited by William Barker and Paul Sally
Lp Harmonic Analysis on SL(2,R)
Further information on this Memoir.