Homework assignments for M427K
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Nr Section : Problems
------------------------------
[1]    2.1 : 8,14,16,32
       2.2 : 2,6,14
------------------------------
[2]    2.4 : 7,19
       2.6 : 4,7,13,16,19,25,26
------------------------------
[3]    2.8 : 8,10
       3.1 : 12,14,22
       3.5 : 2,11,25,30
------------------------------
[4]    4.2 : 7,12,18,22
       3.6 : 1,3,12,17,18
       3.7 : 7,14
       4.3 : 2
------------------------------
[5]    5.3 : 2,3
       5.1 : 2,3,5,7,13 (and read section)
       5.2 : 6,8,16
------------------------------
[6]    5.3 : 6,8,10,17
       5.4 : 1,3,4
       5.5 : 1,8,9
------------------------------
[7]    5.6 : 2,3,4,5,12
------------------------------
[8]    6.1 : 14,16,17,26
       6.2 : 1,5,7,16,21
       7.2 : read section
------------------------------
[9]    6.3 : 8,11,13,16,17
       6.4 : 6,9,10   (just solution)
       7.2 : 10,14,24
------------------------------
[10]   7.5 : 11,16
       7.6 : 2  (computation only)
       7.8 : 8  (computation only)

compute x=exp(tA)y and check that x'=Ax, for

    [1 0 0]      [0 1 0]      [0 -1]
A = [0 2 0], A = [0 0 1], A = [1  0]
    [0 0 3]      [0 0 0]

------------------------------
[11]  10.1 : 18,19
      11.1 : 8
      10.4 : 2,3,9
------------------------------
[12]  10.5 : 1,2,3,6,7
      10.3 : 2,5
      10.4 : 21,22
------------------------------    due Thu Apr 27
[  ]  10.5 : 10
      10.6 : 2,6,11a,12ab
      10.7 : 1a,5a
------------------------------    just practice problems
      more may be added




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NOTE: NO LATE HOMEWORK

Unless stated otherwise in class,
homework is collected in class on Tuesdays,
one week after it has been assigned.
Late homework will not be accepted.
But as announced, the lowest 3 homework scores
get dropped before computing the homework average.

============================================================
Some tools:

Direction fields etc
* bookmode -> 427k-1.bk
* netmath -> course material
* maple -> firstorder.mws, dirfields.mws
* matlab -> dfield, pplane
* web -> alamos.math.arizona.edu/ODEApplet/
         ...

Symbolic solutions of ODEs
* bookmode -> 427k-2.bk
* netmath -> course material
* maple -> firstorder.mws, exactsols01.mws

Euler's method
* web -> alamos.math.arizona.edu/ODEApplet/
         mss.math.vanderbilt.edu/~pscrooke/MSS/euler.html
         www.dartmouth.edu/~rewn/euler.html

Taylor polynomials
* web -> http://www.math.jhu.edu/~jrm/vander/stable/TPTest.html
         http://www.math.utwente.nl/~gragert/Live_Math/TaylorError.html
         http://www.ma.utexas.edu/cgi-pub/kawasaki/plain/infSeries/6.html

Series solutions
* netmath -> course material -> series solutions ...

Systems of 1st order ODEs
* web -> http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/diffeq2.html
* maple -> systems.mws
* bookmode -> linear.bk, systems.bk
* netmath -> course material -> systems

Fourier Series, PDEs
* netmath -> course material