Welcome
to the Calculus Zone
(AP
Calculus AB, Period D)
Web address shortcut for this page: www.modd.net/34calc
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) 


F 5/21/04 
HW due: questions for next year’s class 

W 5/26/04 
Final Exam, Steuart 101/102, 2:00–3:00 p.m. Bring
calculator, spare batteries, and several pencils, but no paper. Anyone is
welcome to take the exam, but seniors are exempt if they have a second
semester average of 80% or higher. The exam will count as 20% of your
semester grade. However, if your personal score on the final project was 90%
or higher, the exam will be scored only if it helps your average. 

Essential Links:
 College
Board: AP Calculus AB Course Description
 Eric Weisstein’s World of
Mathematics, the Web’s most extensive mathematics resource (no kidding!)
Extra Help:
 Karl’s Calculus Tutor for
firstyear students
 Calc101.com, a site I really shouldn’t tell you about (click it and you’ll see why)
 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)
 Partial
fraction decomposition with many sample problems and solutions
Links for AP Preparation:
 Real
sample AP questions from the College Board
 AB Calculus Cram Sheet
(courtesy of Will Felder and Mr. Hansen)
 BC Calculus Cram Sheet from
last year
 Review question logsheet
(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
Fun Links:
 Homemade “Segway”like balancing scooter uses a fair amount of calculus!
 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 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
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: 26 May 2004