Week of August 30 - September 3
Tuesday, August 31
1:00 - 3:00 LUKACS LECTURE - Room 459 MSC
Kanti V. Mardia, Distinguished Lukacs Professor, BGSU
University of Leeds, England
"Introduction: Shape Coordinates Systems and Shape Distance"
Abstract: Introduction and motivating examples from biology,
medicine and images analysis. Size Measures. Simple shape
coordinate systems, including Bookstein coordinates and
Kendall's spherical coordinates for triangles.
The use of complex notation for planar shape analysis. Shape
distance. Procrustes matching, mean shape and shape
variability.
The shape space and pre-shape space. Geometrical issues.
Advanced coordinate systems.
[It would help to have some knowledge of multivariate
analysis, in particular principal component analysis.
Otherwise the talk is self-contained.]
Thursday, September 2
1:00 - 3:00 LUKACS LECTURE - Room 459 MSC
Kanti V. Mardia, Distinguished Lukacs Professor, BGSU
University of Leeds, England
"Tangent Approximations, Data Analysis and Visualization Tools"
Abstract: Ordinary and Generalized Procrustes analysis for
higher dimensions. Shape variability and principal
components analysis. Testing for shape difference, under
isotropy and general covariances.
A demo will be given to highlight Visualization Tools.
Friday, September 3
3:30 Coffee
3:45 COLLOQUIUM - Room 459 MSC
***** Postponed until Friday, September 10 *****
Waldemar Weber, Mathematics and Statistics, BGSU
"Preferential personality types and learning styles in mathematics"
Abstract: Katharine Briggs and her daughter, Isabel Myers, used
the clinical experiences of Carl Jung to formulate a theory of
preferential personality types that provided an acceptable
alternative to the psychoanalytic theory of Sigmund Freud.
More recent psychological research started producing some
results of educational interest, concerning the basic skills
of reading, writing , and mathematics, and last year, on
October 2, I introduced an indirect algorithm for determining
the appropriate type. Beside reviewing the implementation of
this algorithm, subsequent experience with my new approach
enables me to discuss how it can help us to communicate
mathematics to our students. Follow the forked path:
ITS Scientific Computing Laboratory
(241 Mathematical Sciences Building)
Scientific Lab Server:Class Folders: Learning Styles-Weber:
1 Learning Styles in Math 2.4, or
2 Myers-Briggs Type Indicator (Form G)
on the computer network, provided by Instructional Technology
Services at Bowling Green State University, for a personal
demonstration. This software is Macintosh specific (Macintosh
is a trademark of Apple Computer and the Myers-Briggs Type
Indicator is a trademark of the Consulting Psychologists
Press).
Professor Kanti V. Mardia of the University of Leeds is visiting Bowling Green State University during August and September as Distinguished Lukacs Professor in the Department of Mathematics and Statistics. He will give five two-hour lectures on Statistical Shape Analysis over the next few weeks. See an announcement of the lectures and directions for getting to the department.