Homeworks will be assigned throughout the week and collected on Friday.
Homework 1: (due 9/24) solutions
- Section
10.1: #1(cosine
only), #2 (sine only), #4-18 even
- Read
Section 10.2, up to convergence and sum of F.S.
- Read
definition of even and odd functions: Section 10.4
Homework 2: (due 10/1)
- Section
10.2: 1-11 odd, 13-16 all (please graph only #'s 1,3,11,13 -- be
sure to plot them accurately, meaning show specific points plotted,
etc)
- extra
problem #1: Please analyze the graphs of #1,3,11,13 -- in particular on
what regions do the partial Fourier sums approximate the function well?
poorly?
- Read
Section 10.3 -- do #2,8,10 (no graphs) and try #18(for a_n only is
sufficient)
Homework 3: (due 10/8) solutions
- Section
10.4: 3,5,11,18,23
- Read
10.4 and 10.6
- Section
10.6: 4,7,13,15(use #13 and your F.S. bag of tricks, if you'd
like!)
- Extra
Credit - #1 or #2 Section 10.6 (choose only one)
- *****EXAM
1 will be next Wednesday - October 13 in class******
Homework 4: (due
10/15) example solutions
- NOTE: EXAM 1 is Wednesday Oct 13 in class
- Section 10.5: 2,3,7 (this section is also
included on the exam - do the problems before the test!)
Homework
5: (due 10/22)
- Read
Sections 11.1-11.3
- Section 11.1:
2,6,10, 14(only do (a)- u=cos(x,y), f(x,y)= -(x^2 + y^2)cos(xy);
and (c) u= v(x+2t) + w(x-2t); 16, 19, 22, 23
- Section 11.3: 12,15,16
- NOTE: we will
spend several lectures on section 11.3 -- please read it carefully
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Go to: http://falstad.com/loadedstring/ to
play with an applet that shows the solution of the wave equation for a
loaded string (read "directions" link on this page for definitions... a
loaded string with many weights closely approximated a real string)
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Homework
6: (due 10/ 29) solutions
- Read
carefully sections 11.3, and 11.4
- Section
11.3: 2, 4, 10
- Section
11.4: 2, 5, 10, 18, 19
- <>Extra
Credit: TEAM PROJECT -- I
will give you the option to make teams of two or three on Monday,
October 25. Complete #20 (parts (a)--(d)) of Section 11.3 and
turn it in by Monday, November 1.
Homework
7: (due 11/5) solutions
- Read carefully section
11.5, and additional examples to be given in class 11/1
- Section
11.5: 3, 5, 7, 8, 9, 11, 17, 19 (recommended, but not due -
#14)
Homework 8: (due 11/19) (email me selected problems you'd like
worked out)
- Read
section 5.1
- Section
5.1: 2, 5, 6, 8, 10, 14, 18, 24, 28, 30, 33, 34, 36, 39 (work out all integrals rather
than using table answers! except in the inverse transform problems
where you need to use the tables)
- It's fundamentals time!
make sure you really do all these problems and get this transform down
pat now, so that as we continue to use it later, you don't fall
behind. As always, you are happily received in office hours
for questions or help.
Homework
9: (due 11/24) (email me selected
problems you'd like worked out)
- Read 5.2, 5.3 (skip the delta
function), and 5.5
- Section 5.2: 7, 13,
17
- Section 5.3: 9, 11, 14, 17, 22
- Section 5.5: 5, 12, 17, 23
Homework
10: (due 12/1 -- also a Wednesday!) solutions
- Read 11.12
- Section 11.12: 4, 5, 7, 8
The
plan for the end of the quarter is as follows:
Friday
12/3 - I will review key points from the course, you can ask
questions about topics that are still troublesome.
Monday 12/6 - office hours:
drop by anytime between 10 and 5. Late homework due by 5 p.m.
Wednesday
12/8 - final exam. will be comprehensive. 7:30-9:18
am