Math 4 Changes for 2009-2010

003#06 changed "to" to "with".
003#07 and
003#08 are new.
007#06 and
007#07 are new (old #6 and #7 moved to limbo).
007#11 is reduced to just three examples (because of preceding additions).
008#05 reworded, so that it does not contradict 9#8.
008#08 has been slightly reworded.
008#10 is new (old question moved to 64#9 in math 3 book).
008#11 is new.
008#13 (old) moved to top of next page.
009#01 moved from the bottom of the preceding page.
013#07 rearranged the parts.
013#09 part c has new components.
021#01 a new limit question.
021#09 (old) deleted.
022#09 moved here from 23#6.
023#01 a new question about continuity.
023#07 reworded.
023#10 a new question about continuity and limits.
024#01 reworded the request.
024#09 this graph-paper problem now refers to a prepared page in the supplement.
024#10 ditto.
027#04 reworded, to make it clear that the dilution process is being restarted.
027#05 ditto.
031#07 titled the question, and reduced it to a single request.
032#02 now states the default assumption that the leading coefficient is nonzero.
033#02 now makes reference to the definition of derivative.
033#04 moved from 37#5, revised to include technical vocabulary.
033#07 reworded; no more need for definitions of continuity and differentiability.
034#06 now reminds the reader that S is the distance to the lamppost.
037#05 (old) moved to 33#4
043#03 now asks for a common denominator.
049#09 replaced tan by cos in part c.
053#03 reworded.
059#02 no longer states that f(x) is a function (f is).
060#07 revised, to make the definition agree with that of 21#1.
070#06 now specifies the number of Euler steps.
074#03 is now a continuation.
082#06 reworded slightly.
082#07 no longer states that f(x) is a function (f is).
085#01 reworded so that the specific example does not appear until part c.
085#06 made it clearer why Alex was interested in the falling pot.
093#03 now asks for m.
097#04 clarified what "substitution" means.
098#03 put scale markings into the diagram.
100#09 new question.
101#07 part c now asked as a limit question.
104#02 re-ordered the parts.
104#06 improved the shading.
105#05 now uses interval notation.
105#10 moved here from 113#1.
108#01 part a now makes n=3 explicit.
110#07 moved here from 111#5.
111#05 was at the bottom of the page (old item moves to 110#07).
111#10 is a revised version of the former 115#1.
112#08 made it clearer why the Ratio Test applies.
112#09 has clearer instructions.
113#01 modified slightly; has a new telescoping series.
115#01 now has parentheses; moved from bottom of the page.
115#06 moved from the top of page 116.
116#05 now draws a more careful conclusion.
116#06 new question on limit comparison of series.
119#06 inserted the missing (ds/dt)dt in part c.
121#05 new question (2nd part of limit comparison theorem).
123#07 made it clearer that k can be negative.

changes to reference section:
"comparison of series" now mentions additional pages.
"converge" has been separated into three references.
"limit comparison test" is a new entry.
"tail" has a new text.
page 225 is new; it contains some standard definitions and theorems.
page 301 is new, on which students are to do 24#9 and 24#10.