Saturday, December 18, 2010

Happy Holidays!

I truly do appreciate all of the effort everyone has put into this very successful semester.  It's your desire to learn and hard work that make teaching so enjoyable for me.  I am looking forward to showing you some amazing and challenging calculus topics next semester.  In the mean time, I hope that everyone has an opportunity during this break to enjoy some extra time with their family and friends and to simply relax for a bit.

Sunday, December 12, 2010

Final exam

I hope everyone found some time this weekend to review for the final exam.  On Monday during class, I will briefly share some exam policies and procedures and then answer your questions.

Good luck as you prepare for all of your exams!

Thursday, December 9, 2010

Test #6 posted

Please check your test #6 score on gradespeed.  Many of you did very well - nice work!
A = 68%
B = 18%
C&D = 8%
F = 6%
Mean = 90.3
10% of the grades were 100.

Tomorrow you will receive all of your tests to use for review for the final.

Wednesday, December 8, 2010

Don't forget for test #6

  • Make sure your calculator is in radian mode
  • Sketch two-dimensional graphs of regions carefully on your test (you can use the calculator to graph functions) - use your sketch to label radii and/heights
  • For some of the regions, you will need to solve for intersection points (2nd-Calc-5 on calculator); store these as constants in your calculator for easy recall and accuracy
  • Don't forget pi in front of the integral for disc & washer methods and 2pi in front of the integral for shell method and surface area
  • For washer method, be sure your integrand is (R^2 - r^2) and not (R-r)^2
  • When finding volume with semi-circle cross sections, be sure to square the radius (this will be 1/2 of the side length you would use for square cross sections) and not the diameter (a common error)
  • Remember to use the amount a spring has been stretched or compressed for the integral limits (and not the actual length of the spring)
  • Round all numerical answers to three digits after the decimal point
I would also suggest that you aim to finish the 10 questions in about 40 minutes.  You will then have about 10 minutes to double-check your work. 

The mean scores on the tests I have given on this chapter in the past few years have been between 90 and 92 with about 60 to 70 with an A.  There will not be a curve on this test.  I would be thrilled with everyone earning a high score, but let's make sure that no one earns < 70!

I've had students ask if I will implement a bonus if everyone is present tomorrow for the test ... let's have no absences and you'll find out!

Test #6 on Thursday!

Please avoid being absent for our last test of the semester on Thursday, December 9.  I will not be available during lunch on Friday for makeups which will leave only Monday - that's too last minute!!

Waiting and taking a makeup will almost certainly not result in a higher score.  If you are severely ill or have a family emergency, please let me know as soon as possible so that I can plan accordingly.

I expect very high scores on this test!  Good luck!

Saturday, December 4, 2010

Test #6 info

While writing test #6, I have realized that nearly all of the 15 review problems have integer limits for the integrals.  On your test, there will be at least a few problems in which you will need to solve for the intersection(s) between two curves (using your calculator) to find the limits of integration.  We have seen a number of examples during class like this (especially some sample AP area and volume questions).

Test #6 review

You should have received the test #6 outline and 15 review problems during class. 
Here are the review questions: http://www.bellaire.org/mazzoni/apcalc/notes/test6-rev.pdf
and the review answers: http://www.bellaire.org/mazzoni/apcalc/notes/test6-ans.pdf

Remember that 6.1 #2-46 evens are due at the end of class on Monday.  You will have time during class on Monday to finish this assignment ask questions about 6.1 or 5.6 (work).  Therefore, I would suggest that you spend some time this weekend reviewing for the final exam and/or test #6.  Tuesday will be a final exam review day and Wednesday will be a test #6 review day.