Math 230, Spring `99

Homework assignments

Date Reading Problems
Jan 13, W 1.1 p10: 2, 6, 8, 10, 14, 15, 20, 25, 29, 33
Jan 14, Th 2.1 p23: 1, 3, 7, 13, 14, 16, 18, 20, 32, 33
In 1,3,7 you can use Mathematica to draw the direction fields.
Consider using the `DSolve' command to check your answers.
Jan 17, M 2.2 p30: 9, 10, 14, 17, 19, 23, 24, 32, 36
Hint for 32: Think of what the direction field must look like.
Consider using Mathematica to plot your graphs for you.
Jan 19, W 2.3
2.4
p38: 1, 4, 6, 7, 10, 13, 14, 15, 22
p45: 2, 5, 8, 11, 12, 17, 18
Jan 21, F
Jan 24, M
2.5 p54: 4, 7, 8, 10, 15, 21, 23, 26
Hint: Try using the Mathematica command `FindRoot' in 8c.
Jan 28, F 2.6 p69: 1, 6, 7, 11, 12, 16, 18
Feb 1, M 8.1 p422: 3ab, 6ab, 13, 17
Hint: In 17c, the main thing is to show that if the desired formula works for the y_(n-1), then it also works for y_n.
Feb 3, W 8.2 p427: 4, 5, 7, 10, 11
Do problems 4 and 5 using the method I demonstrated in class. Your answer should depend on the step-size "h".
Feb 5, F 8.4 p438: 2, 3, 6
Feb 8, M 3.1 p128: 3, 8, 11, 15, 18, 21, 23
Feb 15, M 3.2
4.1
p138: 4, 5, 11, 12, 15, 16, 18, 22 (find canonical set), 25
p206: 6, 12
Feb 17, W 3.3
4.1
p144: 1, 4, 8, 10, 11, 15, 18, 20, 22, 24
p206: 8, 17
Feb 19, F 3.4
4.2
p150: 2, 4, 9, 12, 20, 22, 24, 29
p214: 2, 13, 24, 29
Feb 22, M 3.5
4.2
p159: 4, 7, 14, 15, 18, 25, 26
p214: 17, 18, 32
Feb 24, W 3.6
4.3
p171: 4, 6, 7, 11, 14, 15, 21, 24, 28
p219: 4, 5, 14
Feb 26, F 3.8 p190: 4, 7, 10, 13, 14, 17, 19, 21, 23, 24
Mar 3, W 5.1 p231: 2, 5, 7-10, 12, 18, 20, 25, 28
Mar 5, F 5.2 p243: 1, 3, 4, 6, 14, 16
Mar 15, M 5.3 p247: 3-6, 12, 13, 15
In 12 and 13, find terms in power series for *canonical* solutions.
Mar 17, W 5.4 p253: 2, 3, 8, 10, 14, 19, 20
Mar 19, F 5.5 p260: 4, 7, 8, 14, 15, 17, 23
Mar 22, M 5.6 p266: 4, 5, 8, 11, 14
When asked for a series solution, just give the first four non-zero terms.
Mar 29, M 7.1 p340: 2, 4, 5, 8, 11, 15, 16, 18, 21
Mar 31, W 7.3 p363: 2, 8, 16, 22, 25b; also find the exponential of the 2x2 matrix with first and second rows (1,1) and (1,0).
April 7, W 7.4 p369: 2, 3abc, 4, 8
April 9, F 7.5 p378: 1, 4, 7, 10, 14, 16, 17, 19, 26, 31
April 12, M 7.6 p387: 3, 6, 10, 12, 18, 26
April 19, M 7.7 p396: 2, 6, 9, 13, 16
April 21, W 7.8 p404: 1, 6, 7, 10, 12
April 23, F 7.9
Exam 2
p411: 1, 3, 6, 8, 12
Problems: 2, 4, 5, 6, 7
April 28, W 9.3 p488: 1, 2, 5-10abc, 19

Next assignment: I will collect homework from sections 7.4-7.8 on Friday April, 23.

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