263: e^ik = cos k + (i) sin k.  (Runner-up: Any bounded sequence has a convergent subsequence.)
341/2: The determinant of a 3 x 3 matrix represents the volume of a parallelepiped. (Runner-up: the entire invertible matrix theorem - all thirty-some parts of it.  Runner-up-runner-up: the kernel of a linear transformation is a subspace. R-up-R-up-Runner-up:  the definition of a parallelepiped: a Rubik's cube that's been sitting on the dashboard of a hot car for too long.)
256:  90% of success in anything is showing up - yes, even if the class meets at 8:00 a.m.!  (Runner-up:  The other 10% of success is doing your homework - yes, even if it is terribly boring.)
391:  A polynomial of degree n has exactly n complex roots - a.k.a., the fundamental theorem of algebra. (Runner-up: the square root of 2 walks into a bar and says, "I can be expressed as the ratio of two integers."  The bartender says, "You're being irrational.")
393:  The set of symmetries of a rectangle form a group - the Klein-4-group to be exact.
281/282: The gradient of a function at a point can be used to determine the steepest line - i.e., the path that a Penguin or a Puffin ought to take on the surface of an iceberg to get out of a storm quickly.
346:  For any integer a and any prime number p, a^p-1 = 1 (mod p), (i.e., Fermat's Little Theorem.)  (Runner-up: There are infinitely many primes.)
457:  One of the conditions for chaos is that the slightest change in the initial value of a function can produce as huge a difference as you want in the eventual value of a system.  (Runner-up:  The Kantor-set is uncountable on (0,1), but has no length on the interval.)
107:  The second-derivative of a function represents the rate of change of the first derivative.  (Runner-up: University-wide, all bachelor's degree candidates ought to take Math 251.)
106:  One can't visit all the bars in Konigsburg without crossing some bridge twice, even though the number of bars in Konigsburg is countable and finite.  (This isn't exactly correct, but it's fun to think about on these days leading up to final exams!)
      I hope this list will help people to reflect on the big picture of mathematics, especially since many of us will not enjoy pure math as our vocation in life.  For

those of you who have spent time in the Hilbert Space, I thank you for the help, good humor, and really terrible math jokes over the last two years (see above.)  Thanks to Cathie for her patience and goodwill.  Thanks to Hal for helping me to choose to come to school here.  Thanks to Professor Dick Koch, for being so willing to happily and productively share his rich knowledge of and experience in mathematics.  Thanks to Peter Dolan for being a really good T.A.  Thanks to Erica, Judy, and Judy in the Fenton office for their help with time sheets, grading assignments, and the like.  Thanks to Dynee for the baked goods.  Thanks to Dev for articulate and rigorous explanations of the calculus.  Thanks also to Mike T, Jason Z, Josiah T, Lauren W, Nathan C, and all the other peers who have helped with homework.  Also to Foster, Amanda, Cassandra, Jared, Jonathan, and Joe.  Thanks to Seth for sharing so much of his time and advanced perspective on math topics.  Finally, thanks to the teammates from the Infinitesimals/Deady-Irrationals, the two intramural softball teams which I've had the pleasure to play with over the past couple springs.  It has all been fun.
For those of you coming back next fall, I hope you'll continue next year to support each other, study hard, and keep the big picture in mind.