Welcome
to the HappyCal Zone
(Honors
AP Calculus BC, Period B)
Web address shortcut for this page: rememberflight93.org/23calc
Are you nervous when you see NCWEE? concerned when you see CIRC? perturbed when you see PBC? Visit Mr. Hansen’s fabled abbreviations page to make sense of those cryptic markings you see on your papers.
Schedule at a Glance (see archives for older entries) 

Th 5/29/03 
Final Exam, 2:00 p.m., Steuart 101/102. Students with a B average (80%) or above in the
second semester are exempt. Note that this policy is more generous than the standard
STA Mathematics Dept. policy, which requires all members of Form V to take a
final exam, even in AP classes. 
GRADES 
All second semester grades are now posted. Please email me if you have forgotten your codename. 
Essential Links:
 College
Board: AP Calculus Main Page
 Eric Weisstein’s World of
Mathematics, the Web’s most extensive mathematics resource (no kidding!)
Extra Help:
 Karl’s Calculus Tutor for
firstyear students
 Temple University: Calculus on
the Web (COW)
Links Based on Class Discussions:
 Troy’s
Integral Approximation Thingy: a neat JavaScript application for Midpoint
Rule, Trapezoid Rule, Simpson’s Rule, etc.
 Another
integral approximator tool found by John S. (actually shows you the
rectangles or trapezoids)
 Chris and Andrew’s proof that
Simpson’s Rule is a weighted average of the Midpoint and Trapezoid Rules
 Braxton’s direct proof of FTC2
 Proof that FTC1 implies FTC2 and
conversely
 Related
rates practice problem (not hard, but nicely structured, with stepbystep
programmed help if you make a mistake somewhere along the line)
 Limaçon
of Pascal (with adjustable parameters)
 Partial
fraction decomposition with many sample problems and solutions
 PAVE Summer
Program at Vanderbilt University
 Sierpinski
numbers and recent results in number theory
Links for AP Preparation:
 Cram Sheet (courtesy of Will
Felder and Mr. Hansen)
 Review question logsheet (many thanks to
Robert V. V. for updating this for 2003; requires Microsoft Excel)
 Permitted features for graphing
calculators on the AP examination: you’ll definitely want to print this one out
 Alvirne H.S., Hudson, NH (great
site!)
 Actual
college calculus tests from Mr. Hansen’s alma mater (great practice!)
 Multiple choice practice #1 with answer key
 Multiple choice practice #2 with answer key
 College
Board: AP Calculus Main Page (same as the link you saw above under
“essential links”)
Fun Links:
 Norm at Night: Mr.
Constantine’s live Web radio show (Tues. and Thurs. nights at 7)
 Mathematicians
as depicted in the movies (Good Will Hunting, etc.)
 An Algebra II problem that
has a calculus flavor to it. (This is problem #26 from §117 of Foerster’s Algebra
and Trigonometry: Functions and Applications.) The problem is to determine
which sweepstakes prize is better: a $20,000 lump sum or $100 a month for life.
Assume 4% annual interest compounded monthly. In part (d), the challenge is to
determine how the answer changes if the interest rate changes to 7%.
 The Mt. Sinai problem and two
variations
 The amazing BanachTarski
Paradox, which apparently permits any sphere to be cut and reassembled into
two spheres, each having the volume of the original sphere
 The equally astonishing BaileyBorweinPlouffe
algorithm for calculating pi to any desired decimal place
 Sound wave analysis
(harmonics, Doppler shift, etc.) / excellent site developed by students at
TJHSST in Virginia
 Good problems
(some calculus, some not)
 More fun links on Mr. Hansen’s home page
Career Thoughts:
 What does a professional
nonacademic mathematician do all day?
 National Security Agency and its
fascinating Cryptologic Museum
 Is Math a Young Man’s Game?
Serious Links:
 Summer math camps
for talented high school students
 Click here for other serious links
Return to Mr. Hansen’s
home page
Return to Mathematics Department
home page
Return
to St. Albans home page
Last Updated: 04 Jun
2003