The homework assignments on this page are organized by day they are assigned. On many days you will have both a reading assignment, and a problem set. Unless we indicate otherwise, all readings come from your textbook, Elementary Differential Equations and Boundary Value Problems, 6th ed. by Boyce and DiPrima. Furthermore, the current homework assignment (the one due during the next class meeting) will be highlighted by an orange title bar.
For January 5th, 2000 | Home Page |
Section 1: No HW.
Section 2:
Due at the beginning of class Friday, January 7th.
READING: Sections 2.5 and 2.6 of your text.
PROBLEMS: Section 2.5: 6, 9, and 27 (pp 54-57)
For January 7th, 2000 | Home Page |
Due at the beginning of class Monday, January 10th.
Section 1: [Assignment not yet posted]
Section 2:
READING: Sections 2.1 - 2.4
PROBLEMS:
Section 2.1: 14, 16, 30 (pp. 23-25)
Section 2.2: 6, 10, 25 (pp. 30-33)
Section 2.3: 7, 12, 23 (pp. 38-40)
For January 10th, 2000 | Home Page |
Due at the beginning of class Wednesday, January 12th.
Section 1: [Assignment not yet posted]
Section 2:
READING: Sections 5.1-5.2
PROBLEMS:
Section 2.2: #29
Section 2.6: #2
Write out the case for the odd terms from the example today in class.
Supplemental problems
Solution to series problem #4
For January 12th, 2000 | Home Page |
Due at the beginning of class Friday, January 14th.
Supplemental problems
For January 14th, 2000 | Home Page |
Due at the beginning of class Tuesday, January 18th.
Supplemental problems
For January 18th, 2000 | Home Page |
For January 19th, 2000 | Home Page |
PROBLEMS:
Section 3.1: 1, 2, 5, 10, 17, 18, 21 (pp. 128-129)
Section 3.2: 13 (pg. 138)
Section 3.5: 2, 4, 14 (pg. 159)
For January 21st, 2000 | Home Page |
PROBLEMS:
Section 3.3: 11 (pp. 144)
Section 3.4: 9, 14, 24 (pg. 150-151)
For January 24th, 2000 | Home Page |
PROBLEMS: (from in-class handout)
Section 11.3: 1abc, 4, 5, 7 (pp. 638-639)
For January 26th, 2000 | Home Page |
PROBLEMS: (from in-class handout)
Section 11.4: 1ab, 5a, 7ej (pp. 647-648)
For January 28th, 2000 | Home Page |
PROBLEMS:
Section 3.3: 1,3,4,5,7,12,22,23,27
For January 31st, 2000 | Home Page |
PROBLEMS:
Section 4.1: 7,8,12,13,14,20abc
Supplemental problems
For February 2nd, 2000 | Home Page |
PROBLEMS:
Section 3.6: 1,3,5,6,12,13,14
For February 7th, 2000 | Home Page |
Due Wednesday.
READING: Section 3.8
PROBLEMS:
Section 3.5: 26,28
Section 3.7: 5,6,10,13,15
For February 8th, 2000 | Home Page |
Due next Monday.
READING: Section 3.9
PROBLEMS:
Section 3.8: 10,11,17
For February 9th, 2000 | Home Page |
Due next Monday.
READING: Section 7.3
PROBLEMS:
Section 3.9: 5, 6, 12
Section 7.2: 14, 15, 18, 22, 23, 24, 26
For February 14th, 2000 | Home Page |
PROBLEMS:
Section 7.3: 1, 2, 6, 7, 16, 19, 20, 23, 29, 31
[Note: you may need to refer to example 3 in section 7.3 for problems 6 and 7]
For February 21st, 2000 | Home Page |
PROBLEMS:
Section 7.5: 2, 3, 4, 16
NOTE: We didn't talk a lot about plotting in class, but try doing it
for #2. You don't need to draw plots or direction fields for the
others, but you should still be able to describe the behavior of
solutions as t goes to infinity. You may use a graphing calculator
(or maple, if you're really amibitious: I can give you my source code).
Section 7.6: 2, 4, 5, 9
NOTE: Again, plot trajectories and a direction field for #2 only.
Section 7.7: 2, 4, 7
NOTE: No graphs necessary for these.
For February 25th, 2000 | Home Page |
PROBLEMS:
Section 3.1: 4, 8
Section 3.4: 10, 15
Section 10.1: 3
For February 28th, 2000 | Home Page |
Due Wednesday, March 1st.
READING: Section 10.3
PROBLEMS:
Section 10.2: 14, 15, 18
NOTE: Graph sketching is required.
In addition to these problems, I would like for you to verify that
is orthogonal to
for any choice of m and n, except when m = n (This is equation 6 in section 10.2). When m = n, you should compute the value of their inner product.
For March 1st, 2000 | Home Page |
Due Friday, March 3rd.
READING: Sections 10.5, 10.6
PROBLEMS:
Section 10.3: 3, 6, 10ab
Section 10.4: 8, 10, 15, 16, 22
Section 10.5: 1, 4
For March 3rd, 2000 | Home Page |
PROBLEMS:
Section 10.5: 2, 3, 12abc
For problems 2 and 3 in Section 10.5, instead of using the boundary conditions stated in the book, I would like for you to use the boundary conditions u(0,t) = -20, u(40,t) = 20 (L = 40cm). You should explicitly exhibit both the steady-state solution and the transient solution.
Section 10.6: 1abc, 2abc (Note: You do not need to hand in Section
10.6 problems, but you should try them!)
Created on 12 Jul 1998 by
A. L. Jones
Modified on 1 Mar 2000 by
L. Gariepy.
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GIMP.