First homework assignment:
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sec. 8.2, exercises 1, 2, 3, 4
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sec. 8.3, exercises 13, 14
New due date: 09/15/99 for section 1, 09/14/99
for section 2.
Please do your homework in groups of three
or four students, and submit one set of solutions per group.
Second homework assignment:
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Do the first Maple
project. Due date for the Maple project: 09/22/99 for section 1, 09/21/99
for section 2.
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sec. 8.4, exercises 1, 2, 3, 4 (note that
there's a sign error in the hint; the correct trig identity is cos(a-b)+cos(a+b)
=2cos(a)cos(b)),
5, 6
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sec. 8.5, exercise 2
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Due date for exercises: 09/22/99 for section
1, 09/23/99 for section 2.
Third homework assignment:
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For the following choices of C and f, compute
the line integral of f along C.
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C=circle of radius 5, centered at the origin;
f(x,y)=7. (extra credit: Can you explain the result in terms of geometry?)
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C=triangle with vertices (1,2), (9,2), (1,10),
f(x,y)=x+y.
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C=square with vertices (0,0), (1,0), (1,1),
(0,1), f(x,y)=x^2+2y. (note: x^2 means 'x squared')
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Due date: 09/29/99 for section 1, 09/30/99
for section 2
No homework this week because of the first
midterm.
Fourth homework assignment:
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Do the second Maple
project. Due date: 10/27 for section 1, 10/28 for section 2.
-
In order to download the Maple project, hold
down the right mouse button and choose the menu item "Save link as". Alternative
ly,
you can hold down the shift-key while you click on the link.
Fifth homework assignment:
-
Consider a vibrating string with L=pi and
c=1.
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For the given initial position f(x) and initial
velocity g(x), find solutions u(x,t) of the wave equation that satisfy
the given initial conditions.
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f(x)=x(pi-x), g(x)=0. (hint: if you remember
the first homework assignment, then you're almost done...)
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f(x)=0, g(x)=x for 0<x<pi/2, g(x)=pi-x
if pi/2<x<pi. (we've seen the Fourier sine series of this one
before)
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f(x)=sin(3x)+5sin(7x), g(x)=15sin(2x)-9sin(11x).
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When using a Fourier sine series that we've
computed before, you can simply quote the result. However, make sure you
that you write down where the quote came from (previous homework, textbook,
etc...)
-
Due date: 11/03/99 for section 1, 11/04/99
for section 2.
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Solution (pdf)
Sixth homework assignment:
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Section 9.2, exercises 1,2
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Due date: 11/12/99 for both sections.
Seventh homework assignment:
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Read Sec. 8.5, prepare questions to ask in
class
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Sec. 8.9, #5, 6, 7
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Due date: 12/03 for both sections