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, Campus Map & Photos. |
Course Descriptions
Grad:
Catalog &
Descriptions
Aut2021: Math dept. Fall courses Spr2022: Math dept. Spring courses Registrar's course list & Finals (Textbook adoption) |
Calendars
UF Dates/Deadlines & 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).
Linear, separable, autonomous DEs, intro to Differential Operators, for the bright, motivated, hard-working student. Time permitting, we'll introduce the Matrix Exponential as a way of solving interconnected linear DEs.
Prospective DiffyQ students should seriously review High-School mathematics (eqns of lines, parabolas; quadratic formula; sum of a geometric series) before or during Add/Drop.
Here is my general terminology (pdf). If you don't know it already, it is crucial that you learn the Math-Greek 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.
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 Least-squares fitting of a line to data points (also has HW problems). Available are two examples of a more-general curve-fitting formula (txt).
The Euclidean algorithm can be presented in table-form; I call this form the Lightning-bolt algorithm (pdf), because the update-rule looks like a lightning-bolt (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 mod-114 congruent to 18.
Here are examples of fusing congruences (txt) using LBolt
Everybody loves the Euler-Fermat 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: ell-curve-cntr4 and ell-curve-cntr2 and ell-curve-cntr1 and ell-curve-cntr0.5.pdf. Here is a singular curve (the light purple-reddish self-intersecting curve) on the same surface.
Linear Recurrence using matrices (pdf) solves a fibonacci-like 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 char-poly are preserved under conjugation.
Should you wish a letter of recommendation (LOR) from me, please review my LOR requirements. [Tuesday, 24Aug2021]
For course-grades 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. [Tuesday, 24Aug2021]
The Web