COALITION MATH 151, FALL 1997

         Group II (S. A. Fulling, assisted by Vera Rice)

                             Day 14.3


BEGAN WITH LENGTHY END-OF-SEMESTER ANNOUNCEMENTS, AND STUDENT 
EVALUATIONS OF THE (NOW MISSING) TA.

1.  Activity -- Example 2:  f(x) = x^{2/3}(x-7)^2 + 2.
    Similar procedure.  Strategic remark:  Try to write f' as a 
    product to find its zeros.

2.  Asymptotes

    A.  The Scheftic example in Maple:
        f := x-> (x^3 + 6*x^2 +4*x -9)/(x^2 + x -2);
        plot(f, -100..100);

GOT THIS FAR.  DISCARDED B AND POSTPONED C TO NEXT DAY.
    B.  Definitions; relation to limits at infinity and infinite 
    limits

    C.  Main technique for taking limits at infinity:  Divide 
    numerator and denominator by the highest power in the 
    denominator.