If you want to take part in the discussion, please send email to niederha@fau.edu.


11/12/98 - Deanna Voehl (IRCC) wrote:
We are currently in a debate as to the contents of our calculus I and II classes.  Our current textbook, Stewart, is very weak on Integration Techniques.    No trig substitutions and partial fractions appears in the appendix.   Is this a current trend around the state or are we pursuing the full integration techniques with little table/computer solutions?
Comment by Heinrich Niederhausen (FAU):    I would not require these topics in the common core, but leave it to the instructor. In general, I prefer to spend more time on the modelling aspects of Calculus, and less time on techniques (which are better handled by programs like Maple, Mathematica, ...)
 D. V.: Our problem with letting the computer do the integration is that we do not have Maple or Mathematica or any other math software on the computers in our computer lab.   Also, our computer lab is a universal lab and we do not have a classroom equipped with computers that is available to the math department.    Some students own TI92s or TI89s or HP48Gs and so they are able to do the integration using symbols.  The majority of our students do not own them.   Thus, if we do not teach the integration techniques, then these students must resort to the tables.  Do you know if any other colleges/community colleges are in the same dilemma?
H.N.: Last week I met with some CC-professors, and heard them talking about calculators. You are right, many places do not have access to appropriate computer labs yet. However, they seem to require their students to by `good' calculators, and teach how to use them. The prices are no longer that outrages. Teaching how to use them is more problematic, because I won't feel comfortable with requiring a specific
    brand/model. Ideally, a `calculator clinic' should be set up, where students can go and ask qustion about how to use their machines. Of course, that needs additional manpower.
D. V.: How do you test the students as to their ability to use the computer software when doing integrals?    Do you they use the computer during the test or do you use projects?
D. V.: Is any time spent in Calculus II pertaining to polar coordinates - graphs, area problems, etc.?
Comment by H.N.:  FAU's current calculus outline asks for polar coordinates in CalcIII.




10/13/98 - Malcolm Heimer (FIU) wrote:
I would like to insert my interest in the placing applied problems into the calculus courses.  I realize the importance of teaching "pure" mathematics and I respect that.  However, I would like to see some cooperation between the math faculty and the engineering faculty by allowing some applied problems to be suggested by the latter and having these inserted into the  calculus courses.  I know that our ECE students when introduced to the basic differential equations for capacitors and inductors make no connection to the calculus courses.  They have the mind set that they are studying to pass the calculus courses and do not
have the concept that these techniques will ever be used again.  I would certainly like to see us find a way to change this situation!


10/13/98 - Norma Agras (MDCC) wrote:
I still think ideally So we teach them the mechanics so they know how it is done, but then we teach them how to do it in the modern day.
There is much software out there now for that.