Turn underlined problems in to the homework boxes in the math
department lobby by 3PM on Tuesday 2/12. Although
only the underlined problems should be turned in, you should do
the others the day they are assigned to prepare for the quizzes
and class discussion the following day. You may work
together and get help from me, tutors, or math friends.
However, the final write-up for the underlined problems must be
your own and not copied. In particular, when you are asked
for examples, you should come up with your own, rather than
turning in an example from the solutions manual or a
friend. Proofs and explanations should be in your own
words. The assignments will be graded based on your
demonstrated understanding of the material, including the
quality of your write-up. A numerical answer by itself, with no
explanation of your reasoning, will normally receive no
credit. Problems from the text labelled [M] should be done
with the aid of the computer or a calculator. On other
problems, you can use your calculator or the computer to check
answers, but you should do the computations by hand.
When you use your calculator or the computer on a hand-in
problem, you do not need to turn in a printout, but describe
essential steps of the computation and give their results on
your paper.
Wednesday
February 6:
Section
4.6: 3, 6, 10, 16, 17, 19, 23, 27, 35[M]
Also to
turn in: Let Consec(n) be the nxn matrix whose
entries are the consecutive integers: 1,2,...n in the
first row, n+1,n+2,...2n in the second row, etc. (We have
talked about Consec(2), Consec(3) and Consec(4) in class.)
Experiment in Mathematica to determine the rank of some examples
of Consec(n) for different n. Use your experiments to
guess the rank of Consec(n) in general. Prove your
guess.
Section
4.9: 3, 7, 13, 15[M]
Thursday, February 7:
Section 5.1:
1, 5, 9, 15, 16, 21, 24, 25, 29, 32
Friday,
February 8:
Section
5.3: 1, 3, 5, 7, 15, 21, 24, 31,
32
Section
5.6: 2, 5, 9, 15, 18[M] (ignore the complex
eigenvalues--they have absolute value less than 1, so those
terms go to 0)
Section 6.2:
2, 9, 12, 13, 22, 23, 29
Section 6.3:
4, 7, 11, 14, 21
Tuesday,
February 12: