Undergraduate Math Journal Index
Calculus
Good Rational Approximations to Logarithms, CMJ, May 2001, pg 172
Models for Growth, CMJ, September 2001, pg 258
Tangents Without Calculus, CMJ, November 2000, pg 406
Where Do Functions Come From, CMJ, March 2002, pg 107
Do Dogs Know Calculus, CMJ, May 2003, pg 178
Clarifying Compositions with Cobwebs, CMJ, May 2003, pg 196..
Describing
a graphical way to illustrate the composition of functions.
Students
should use software to implement the examples in the article and then
create
some similar examples with another collection of functions.
Calculus II
Dipsticks for Cylindrical Storage Tanks, CMJ, November 2001, pg
352
Calculus III
What's Harmonic Abouth the Harmonic Series, CMJ, May 2001, pg 201
Convergence-Divergence of p-series, CMJ, May 2001, pg 206
Olivier and Abel on Series Convergence: An Episode from Early
19th Century Analysis, MM, December 1999, pg 347
A Tale of Two Series, CMJ, March 2002, pg 99
Convergence-Divergence of p-series, CMJ, September 2002, pg 314
Tangent Line Transformations, CMJ, March 2003, pg 105
A series that converges and diverges, CMJ, March 2003, pg 135
Investigating Possible Boundaries Between Convergence and Divergence,
CMJ, November 2002, pg 405. Shows that the harmonic series is not
a
"boundary series" between convergent and divergent series.
Calculus IV
Mixed Partial Derivatives and Fubini's Theorem, CMJ, March 2002,
pg 126
Partial Differentiable, Yes: Continuous, No, CMJ, January 2000,
pg 42
Examining Continuity, Partial Derivatives and Differentiability with
Cylindrical Coordinates, CMJ, January 2003
The Murder Mystery Method for Determing Whether a Vector Field is
Conservative,
CMJ, May 2003, pg 228. Testing for conservative vector field by
attempting
to construct potential function first.