Welcome to my new website. I’m experimenting with several things and hope to be done before school starts, but you never know…
Read the full story »I’m slowly getting all the course information for my Spring 2010 up here on the site. Click the links below (after clicking on the title of this post if you’re on the home page) or hover over the Teaching menu and click on the desired class. Right now, there’s the syllabus and tentative schedule of sections covered, labs, and tests. Keep an eye out, because I’ll be constantly updating those pages.
MTH 133-001 Plane Trigonometry, 8-8:50 MWF, ED424, Syllabus
MTH 133-003 Plane Trigonometry, 10-10:50 MWF, NM213, Syllabus
MTH 133-700 Plane Trigonometry, 8-8:50 MWF, …
jsMath seems to work fine in Chrome, Opera, and IE 8 (compatibility mode), but not Firefox. Strange…Update:Firefox works too, at least on a different computer
$$
\int^1_\kappa
\left[\bigl(1-w^2\bigr)\bigl(\kappa^2-w^2\bigr)\right]^{-1/2} dw
= \frac{4}{\left(1+\sqrt{\kappa}\,\right)^2} K
\left(\left(\frac{1-\sqrt{\kappa}}{1+\sqrt{\kappa}}\right)^{\!\!2}\right)
$$
This procedure is simply a generalization of the method used in Sects. 1-3 and 1-4 to obtain the equations of the osculating plane and the osculating circle. Let $f(u)$ near $P(u=u_0)$ have finite derivatives $f^{(i)}(u_0)$, $i = 1, 2, \ldots, n+1$. Then if we take $u=u_1$ at $A$ and write $h = u_1 – u_0$, then there exists a Taylor …