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
Office hours Spring 2010 (tentative):
Tuesday, 11-12; Wednesday 2:30-3:30; Friday 10-11; and by appointment

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
f (x, y, z) = x2 + y2 - z2.

Spring 2010

Weekly schedule

Courses

MTH 114, Calculus: Differential Equation and Power Series, MWF 1:10-2:30 (Burton 209) MTH 225, Advanced Calculus, MWF 11 (Burton 307)

QBasic


Calculus in Context
The Five College Calculus Project

The complete text is now available here for free download online.

View the text and download individual chapters

The authors


The Geometry of Spacetime
An Introduction to Special and General Relativity
An Undergraduate Text in Mathematics

Listing by Springer Verlag

Errata file (to 15 June 2009), 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

Anamorphic chalk drawings


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


The Holy Grail

The geometry of the classification of real binary quartics

f(x, y) = ax4 + bx3y + cx2y2 + dxy3 + ey4


Shore Educational Collaborative; Mallinson Institute

Shore Educational Collaborative, a multi-purpose educational agency in the Boston area serving studendents and adults with disabilities.

Mallinson Institute for Science Education at the University of Western Michigan, Kalamazoo.

A view of the earth at night.

paintings


References