# Math 225 Homework Assignments

Schedule
Date Assigned Section Problems Date Due Notes
W 8/31/11
Handout Section 1.1
2, 3, 6, 8, 10, 14, 15
W 9/14/11
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W 8/31/11
Handout Section 1.2
4, 7, 8, 14, 20, 22b, 24, 25, 26, 28
W 9/14/11
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W 9/14/11
Handout Section 1.3
2, 3, 6, 8
W 9/21/11
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W 9/14/11
Handout Section 1.4
2, 4, 6, 8, 12, 14, 19
W 9/21/11
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W 9/21/11
Handout Section 1.5
5, 9, 11
W 9/28/11
Write a computer program to solve the equations using Euler's Method. If the true solution is given, graph the true solution and the Euler solution on the same graph.
W 9/21/11
Handout Section 1.5
12
W 9/28/11
EXTRA CREDIT
W 9/28/11
Handout Section 2.2
4, 5, 7, 12, 18, 20, 24, 34
W 10/05/11
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W 9/28/11
Handout Section 2.3
4, 5, 10, 11, 12, 17, 18
W 10/05/11
Note: there is a single handout for sections 2.2 and 2.3.
W 10/05/11
Handout Section 3.2
2, 4, 5, 8, 10, 11, 14, 15, 21
W 10/12/11
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W 10/12/11
Handout Section 4.1
1, 2, 4
W 10/19/11
A "synchronous solution" is one at resonance. Find the coefficients A and B and determine the value of frequency at which the amplitude of the solution is maximal.
W 10/12/11
Handout Section 4.2
2, 3, 5, 8, 14, 17, 19
W 10/19/11
Note: Theorem 2 is the Existence and Uniqueness Theorem for second-order linear ode's.
W 10/19/11
Handout Section 4.3
3, 5, 8, 10, 11, 14
W 10/26/11
Note: "Definition 3" is the definition of linear independence of two functions from linear algebra.
W 10/19/11
Handout Section 4.5
2, 3, 8, 12, 13, 18, 19, 25, 29, 52
W 10/26/11
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W 10/19/11
Handout Section 4.6
1, 4, 8, 9
W 10/26/11
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W 10/26/11
Handout Section 4.6
18, 19, 22, 25, 29a, 38
W 11/2/11
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W 10/26/11
Handout Section 4.7
2, 5, 9, 11, 14
W 11/2/11
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W 10/26/11
Handout Section 4.8
3, 5, 8, 10, 16, 21, 27, 30
W 11/2/11
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W 11/2/11
Handout Section 4.9
2, 5, 9, 15, 22, 23
W 11/9/11
Note: for problem 23, Eqn 1 is y''+p(x)y'+q(x)y = g(x)
W 11/2/11
Handout Section 5.2
1, 3, 4, 10, 13, 14
W 11/9/11
#15, 17 are extra credit and require you to find and use phase plane plotting software
W 11/9/11
Handout Section 5.4
1, 4, 6
W 11/16/11
Note: Section 5.4 is part of the handout for Section 5.2
W 11/9/11
Handout Section 7.2
4, 5, 7, 10, 11, 23, 24, 28, 29
W 11/16/11
Note: Definition 1 is the definition of Laplace transform
W 11/16/11
Handout Section 7.3
3, 5, 7, 15, 18, 24, 28, 31
W 11/23/11
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W 11/16/11
Handout Section 7.4
1, 6, 7, 10, 14, 22, 23, 25, 26, 31, 33
W 11/23/11
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W 11/23/11
Handout Section 7.5
2, 4, 7, 9, 12, 14, 25, 36
W 11/30/11
Note: these problems are in the same handout as Section 7.4.
W 11/23/11
Handout Section 7.6
2, 3, 5, 6, 7, 13, 14
W 11/30/11
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W 11/30/11
10-12
M 12/12/11
Do not turn in this assignment!
W 11/30/11