James Callahan
Professor
Department of Mathematics and Statistics
Clark Science Center
Smith College
Northampton, MA 01063
Office
306 Burton Hall
VOICE: (413)-585-3863
FAX: (413)-585-3786
E-mail
My email address is callahan at math
dot smith dot edu
The figure above shows portions of several hyperboloids (of one and
two sheets) that occur as level surfaces of the function
.
Fall 2009
Courses
MTH 114, Calculus: Differential Equations and Power Series,
MWF 1:10-2:30
MTH 212, Calculus III, MWF 11:00-12:10
QBasic
Calculus in Context
The Five College Calculus Project
The Geometry of Spacetime
An Introduction to Special and General Relativity
An Undergraduate Text in Mathematics
|
Listing
by Springer Verlag
Errata file (to 12 July 2003), in PDF
format.
Solution to Exercise 2, Section 6.5, page 326 (Proposition 6.14: The
mixed Riemann curvature tensor is a (1,3) tensor), in PDF format
|
The four-vertex theorem
Evolute of an ellipse
Evolute of a tri-lobed curve
When the evolute has an inflection point
An evolute with only two vertices
Instrumentation and Laboratory Improvement
The National Science Foundation awarded Smith College an ILI grant,
Visualizing and Writing Mathematics, to
equip computation classrooms for mathematics courses.
Protein Geometry
Protein Function and Structure
Distribution of Amino Acids
Here are two Mathematica notebooks that render Ramachandran plots as
histograms. One has a resolution of 5 degrees
and the other has a resolution of 10 degrees.
The second is easier to view.
Here is a Perl script, IZAAK, that computes the
dihedral angles Phi and Psi in a Ramachandram plot.
These files give the frequency of consecutive triplets of amino acids in
proteins. The proteins in each case contain more than 100 amino acids.
The files in this directory identify the proteins
in the SwissProt databank that contain identical triples of amino acids.
For example, the file LLL-AC lists all proteins, by accession number,
that contain a sequence of three Ls in a row. The number of proteins
containing a given triple is shown below. (The full databank contains
about 75,000 proteins.)
| AAA 14883 | CCC 365 | DDD 4729 | EEE 9298
| FFF 2008 |
| GGG 9835 | HHH 996 | III 4339 | KKK 7075
| LLL 16740 |
| MMM 536 | NNN 3391 | PPP 5475 | QQQ 3676
| RRR 6310 |
| SSS 12189 | TTT 6277 | VVV 7819 | WWW 96
| YYY 1317 |
The Holy Grail
The geometry of the classification of real binary
quartics
PolyServe, Melmark, and UNM Geology
PolyServe, a developer of
high-performance network server software.
Melmark New England
The Department of Earth and Planetary
Sciences of the University of New Mexico.
A view of the earth at night.
paintings
References
