Don't just stand there, Read Something!
Some of my students have rated me and the comments, ahem, vary. (At least I rank better than Attila the Hun… his teaching was terrible no wait, that was Ivan …) [Wikipedia discusses this phenomenon.] Legitimate complaints?
Contacting Prof. King. Math staff, grads, fac, Adj&vis, committees 
Prof. King's Schedule Printer friendly: One Two 
Mathematics
Seminars & Events Little Hall on map, photo. Floors 1,2 (txt). Lit233, Lit207, Lit127, Lit113. Campus Map & Photos. 
Course Descriptions

Calendars
UF Crit.Dates & Adjustable UF & Jewish: Tishrei 5770. Gregorian: Sept. & Oct. 
For UF students there is free tutoring at the UF Teaching Center (see schedule).
In all of my courses, attendance is absolutely required (excepting illness and religious holidays). All classes have a substantial classparticipation grade.
This is a special topics course and is only offered once every 3 years or so. Also... NT&MathCrypto counts as an Upperdivision mathelective.
Linear, separable, autonomous DEs, intro to Differential Operators, for the bright, motivated, hardworking student. Time permitting, we'll introduce the Matrix Exponential as a way of solving interconnected linear DEs.
Here is my general terminology (pdf). If you don't know it already, it is crucial that you learn the MathGreek alphabet (pdf), which shows how I use it in class, and on pamphlets; it also has my special symbols, e.g, the Golden ratio, or the Riemann zeta fnc.
Three authors at UC Davis wrote Some Common Mathematical Symbols and Abbreviations (with History) (pdf) which has a nice list of symbols, with the presumed introducer of each. I don't use all of these symbols/phrases in class. A very few of them, I use slightly differently from how the above link shows.
A form of Taylor's theorem (pdf)
Pamphlet Differentiating a bilinear function (pdf) shows how to generalize the Product Rule to other bilinear functions.
Least Squares and matrices (pdf): Derivation of a formula for Leastsquares fitting of a line to data points (also has HW problems). Available are two examples of a moregeneral curvefitting formula (txt).
The Euclidean algorithm can be presented in tableform; I call this form the Lightningbolt algorithm (pdf), because the updaterule looks like a lightningbolt (used thrice). Here is a practice sheet for LBolt (pdf).
The first page of
Algorithms in Number Theory (pdf),
uses LBolt iteratively to compute the GCD of a list of integers,
together with its list of Bézout multipliers.
Page 2 uses LBolt to solve linear congruences:
Find all x where 33x is mod114 congruent to 18.
Here are examples of fusing congruences (txt) using LBolt
Everybody loves the EulerFermat thm. Available is Using EFT to solve 102^{70} + 1 =113= b^{37} (txt), from Prof. William Stein's book.
SOTSin the notes.
PDF images of the elliptic surface
y^{2} = x^{3} 2x + 1.
These images were made with Gnuplot: ellcurvecntr4 and ellcurvecntr2 and ellcurvecntr1 and ellcurvecntr0.5.pdf. Here is a singular curve (the light purplereddish selfintersecting curve) on the same surface.
Linear Recurrence using matrices (pdf) solves a fibonaccilike recurrence; it makes a cryptic reference to Jordan Canonical Form.
Its method is to attempt to diagonalize a matrix.Examples: a 2x2 diagonalizable matrix. And a 3x3 matrix with only 2 dimenions of eigenvalues. Also powers of a diagonalizable 4x4 matrix.
Finally, here are examples showing Trace and charpoly are preserved under conjugation.
Should you wish a letter of recommendation (LOR) from me, I have certain LOR requirements. Although I prefer that you provide an LOR waiver form (obtained from University/firm/grantingagency that you are applying to), here is a generic LOR waiver (pdf).
For coursegrades I use
A^{+} A A^{} . . . D^{+} D D^{} E^{+} E.
The Registrar rounds an A^{+} to an A, and E^{+} to an E, but I kept track of the higher grade when I write letters of recommendation for students. [NOTE: Although a D^{} is passing, certain University requirements need a minimum grade of C; students should check with their College or Department.]Students should read my teaching/quiz policy.
The Web
Detexify
.then; e.g
thenor
necessarilyor
we discover to our delight that.