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Re: Applications of the definite integral  what to teach?
Posted:
Feb 26, 1998 3:48 PM


Greetings David:
I started including the 'work' topic last year as I was burned the year before last with the the work questions on both the AB and BC exams! Mea culpa, mea maxima culpa! I had't seen work questions on the free response section for decades, so I thought I could skip that topic to make more time for others. I know, that's no excuse....
My first year teaching BC, I had a lot of time trouble. As I recall, 2nd year I did the Calculus of inverse trig functions for the first time and the 3rd year I did trig substitution integrals for the first time. Now I do every single thing I have ever done, and can think of doing plus the new differential equations (slope fields, Euler's Method, etc.) unit (additional two weeks). The ODEs dovetial great into the topic of applications of integration and I love partial fractions anyway (Logistic Growth). My students love the Shroud of Tourin (exponential decay/carbon dating), Columbo (Newton's Law of Cooling), US Census 17901950 (Logistic Growth), PredatorPrey (Phase Planes) modeling problems. In fact, tommorow's test has the Skydiver (ala Newton's Law of Heating) problem (with a prgmSLOPEF and prgmEULERG part added on) from the 97BC free response section and another question (with phase planes and simultaneous diffequs) using the Lanchaster Model to analyse the Battle at Trafalgar or Iwo Jima (don't tell anyone, ;{)).
I guess this will be my 5th year teaching BC Calculus (7th for AB and 1st for PreCalulus). My kids must think that I've gone mad! We do it all with time to spare for review!
BTW, I use DWFT plus HH and go over lots of old AP free response questions as part of teaching, reviewing and testing all year long. If you would like free response materials, please checkout 'The Calculus Page' website listed below. I sell all the materials I've developed for my students over the years through this website.
Good Luck, A. Jorge Garcia Teacher/Professor Mathematics/CompSci BaldwinSHS/NassauCC ========================================================================= The Calculus Page http://freenet.buffalo.edu/~aj317 WorkBook Orders mailto:sffbookclub@compuserve.com All Other EMail mailto:aj317@freenet.buffalo.edu *************************************************************************



