Welcome
to the IntroCal Zone
(Introduction
to the Calculus, Period B)
Web address shortcut for this page: www.modd.net/67intcal
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.
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Schedule
at a Glance (see archives for older entries) |
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M 5/14/07 |
Triple HW
due: Answer the following questions.
Questions 1 and 2 are worth 4 points each, and questions 3 and 4 are worth 2
points each. That is a total of 12 points, which is why this is called a
triple HW. |
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T 5/15/07 |
Field trip
to the National Cryptologic Museum,
Fort Meade, MD. Bus will load at
8:00 a.m. sharp behind Martin Gym. We will leave just a few minutes later, so
don’t be late! You are excused from your A through E period classes but are
expected to attend F period. Bobby will unfortunately be unable to join us,
since he has a conflict with AP Chemistry. |
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W 5/16/07 |
HW due: Nothing
new, but any previously assigned work may be rescanned. |
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Th 5/17/07 |
HW due: Same as yesterday. |
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F 5/18/07 |
Last day of school / teacher evaluation. Please do
not skip today. |
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M 5/21/07 |
Final
Exam, Room S, 11:00 a.m. Seniors
with at least a B average and fewer than 12 absences for the second semester
are exempt (assuming there is no senior prank, of course). |
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Essential Links:
-- STA
School Handbook
-- 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
first-year 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 tutorial and
practice problems
-- 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
previous years
-- “Stuff
you MUST know cold” (link to another AP calculus teacher’s site; requires
Adobe Acrobat reader)
-- Review question logsheet
(requires Microsoft Excel)
-- Permitted features for
graphing calculators on the AP examination: you’ll definitely want to print
this one out
-- 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 §11-7 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 Bailey-Borwein-Plouffe
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: 12 May 2007