Welcome
to the HappyCal Zone
(Honors
AP Calculus BC, Period C)
Web address shortcut for this page: www.modd.net/89hapcal
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 5/8/09 
No class. Students who did not submit their AP
review logs yesterday must put them in my mailbox in the mail room by 12:00
noon. I will be off campus during part of the morning. 

M 5/11/09 
HW due: Over the weekend, submit your project proposal
to me by email. Please be sure to prefix your subject line with a double
underscore ( __ ) so that I know the message is legitimate. 

T 5/12/09 
Work on final project. Report to class each day for
roll call. 

W 5/13/09 
Work on final project. Report to class each day for
roll call. 

Th 5/14/09 
Work on final project. Report to class each day for
roll call. 

F 5/15/09 
Work on final project. Report to class each day for
roll call. 

M 5/18/09 
Work on final project. 

T 5/19/09 
Final project due. 

W 5/20/09 
Field Trip
to the National Cryptologic Museum, Fort Meade, MD. Bus leaves just after 8:00 a.m., so hurry back from
McDonald’s! We will be back on campus by 1:00 p.m. You are expected to attend
the second half of your F period class. Dress code is required for the field
trip unless you have purchased a tag from Ms. Spaulding. 

Th 5/21/09 
HW due: HappyCal essay (see yesterday’s calendar entry).
Students who went on the field trip are exempt. 

F 5/22/09 
Last day of school. Tshirts will be available for
$9.00. 

Essential Links:
 STA
School Handbook
 College
Board: AP Calculus BC 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.
 The
“RiemannSums Applet” 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 tutorial and
practice problems
 Partial
fraction decomposition with sample problems and solutions, courtesy of the
University of California at Davis
Links for AP Preparation:
 Real
sample AP questions from the College Board
 AB Calculus Cram Sheet
 BC Calculus Cram Sheet
(courtesy of Will Felder and Mr. Hansen)
 “Stuff
you MUST know cold” (link to another AP calculus teacher’s site; requires
Adobe Acrobat reader)
 Review question logsheet
(requires Microsoft Excel); twopage version
for 200809
 Permitted features for
graphing calculators on the AP examination
 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: 19 May 2009