Homework should be turned in at the BEGINNING OF CLASS.
All problem numbers refer to the Hughes-Hallett, Gleason, McCallum, et al. book,
the required text for the course. You should write up solutions neatly to all problems,
making sure to SHOW ALL YOUR WORK.
A nonempty subset will be graded. You are strongly encouraged to work
on these problems with other classmates, although the solutions you turn in
should be YOUR OWN WORK.
Important: Please list the names of any students or faculty who you worked with
on the assignment.
Section 9.4, pp. 428
Problems: 5, 8, 11, 14, 16, 20, 21, 22, 23
Section 10.1, pp. 440 - 441
Problems: 2, 3, 11, 14, 15, 18, 19, 24, 25, 26
Section 10.2, pp. 445 - 446
Problems: 2, 9, 10, 21, 27, 28, 29, 33, 34, 36
Hints: For problem #21a, give the first four terms of the series. For
problem #21b, the series for ln(1+x) is given in #15. For problem #21c,
note that you found the interval of convergence for the series for ln(1+x)
in #22, Section 9.4.
For problems #27, 28, 29, 33 and 34, try and locate the pattern
in the series and then look up the correct formula (use either your class notes
or the textbook --- #12-19 give some useful examples). The functions which
generate these series are straight-forward.