COALITION MATH 151, FALL 1997

        Group II (S. A. Fulling, assisted by Cary Lasher)

                             Day 2.2


    1.  Questions?  

    2.  Activity:  Do Exercise 1.1.7, p. 50 (average and 
    instantaneous velocity; secant and tangent lines).  Use as 
    much or as little technology as you like (e.g., draw graphs 
    on graph paper or in Maple).  Have a team report after each 
    of the 4 parts ((c) and (d) together), with pause for 
    questions.  
GOT THROUGH (a) AND DISCUSSION OF (b).  LEFT (b) AND (c,d) AS 
HOMEWORK FOR NEXT DAY.  THIS EXERCISE HAD ITS PROBLEMS:  STUDENTS 
WHO ALREADY KNEW DERIVATIVES COULD NOT UNDERSTAND THE POINT.  THE 
INSTRUCTIONS ARE SOMEWHAT AMBIGUOUS ON WHETHER THE STUDENT IS TO 
TAKE A LIMIT ALGEBRAICALLY OR JUST GUESS THE LIMIT FROM THE 
NUMERICAL TREND.  STUDENTS WERE NOT PREPARED TO DRAW ACCURATE 
GRAPHS ON TRANSPARENCIES (OR ANYWHERE ELSE, IN SOME CASES).
    DID PART 3 ON NEXT DAY. 

    3.  Show secant demo.

    4.  If time permits, do the same with Exercise 1.1.8 (and 
    remove it from the homework list).
IN LIEU OF THIS, AT THE BEGINNING OF DAY 3.2 I POINTED OUT THAT 
THIS EXERCISE IS VERY SIMILAR TO AN EXAMPLE ON P. 48.  ALSO, 
POINTED OUT SEVERAL PLACES IN THE PHYSICS BOOK WHERE THE 
DEFINITION OF THE DERIVATIVE IS USED IN A PHYSICAL DERIVATION.