Math 104 - Assignment 7
Tuesday, November 1, 2016
Week 7 Material: Chapter 10 -
Series
- Sequences
- Series of constants
- series with all positive terms -- tests for convergence
Textbook reading
- Chapter 10 -- sections 10.1 through 10.4
Seventh Homework Assignment - due at lecture on Tuesday, November
8.
- Reading: Sections 10.1 through 10.4
- Textbook assignment: (submit nothing) Make certain you can do
the following problems from the textbook:
- Section 10.1, p. 581 (old ed., page 559), # 19, 27, 41, 55, 67, 85,
93
- Section 10.2, p. 591 (old ed., page 569), # 11, 27, 33, 41, 51, 75,
92 (old ed., #93)
- Section 10.3, p. 598 (old ed., page 575), # 3, 18, 27, 35, 59
- Section 10.4, p. 603 (old ed., page 580), # 3, 7, 9, 13, 21, 29, 35,
45, 61
- Textbook assignment:
Submit answers to Homework Assignment 7 on MyMathLab. If for some reason you
are unable to access MyMathLab, the Assignment 7 problems correspond roughly
to the following textbook problems, and if you need to, you can turn in
solutions to the following textbook problems on paper at lecture on November 8:
(This looks like a lot of
problems,
and it is, but most of them are short, and it's good to get lots of
practice with the series concepts!):
- Section 10.1, p. 581 (old ed., page 559), # 18, 36, 48, 54, 72, 84,
88, 94, 98
- Section 10.2, p. 591 (old ed., page 569), # 12, 24, 30, 34, 38, 54,
60, 76, 86, 96 (old ed., #94)
- Section 10.3, p. 598 (old ed., page 575), # 4, 6, 16, 22, 30, 34, 38,
60
- Section 10.4, p. 603 (old ed., page 580), # 4, 6, 12, 16, 22, 28, 34,
40, 46, 52, 60
- Old final exam problems to turn in: Four
(sort of)
problems on this link -- you should print out the file and show your work
for each problem on the page with the problem.
Bonus problem #7:
Find the sum of the series:
1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/9 + 1/12 + 1/16 + 1/18 ...
where the terms are the reciprocals of the positive integers whose only
prime factors are 2s and 3s.
For full credit, you must be as specific as you possibly
can! When you have solved it, either write up the solution by hand
and give it to me, or else send
the solution
to
deturck@math.upenn.edu
by electronic mail - extra credit for the first complete solution I
receive.