http://www.math.psu.edu/yzheng/m513/homework.txt

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Homework #1 Assigned Aug. 27, 2008; Due Sept 5. 
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Problem 1: 
(a) Find the order of each of the single PDEs in 
    Section 1.2 (pp3--5),
(b) Classify as semilinear, quasilinear or fully 
    nonlinear the single PDEs 1--10 on page 5.

Problem 2: Write explicitly the multiindex theorem 
of problem 2 on page 12 for n=2 with any natural number k; 
and n=3 with k=1, 2.  (No proof needed.)

Problem 3: Write explicitly three cases of the Leibniz formula 
in problem 3 on page 12 for  | alpha | = 2 and 3. 
(No proof needed.)

Problem 4: Write explicitly the Taylor formula 
in problem 4 on page 12 for k =3. (No proof needed.)

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Homework #2 Assigned Sept 5, due Sept 12
Section 2.5: problems 1 & 2.
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Homework #3 Assigned Sept 12, due Sept 19
Section 2.5: problems 3 & 4.
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Homework #4 Assigned Sept 19, due Sept 26
Section 2.5: problem 5.
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Homework #5 Assigned Sept 26, Due Oct 3
Section 2.5: Problems 6, 7, 8.
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Homework # 6: Assigned Oct 3, Due Oct 10
 Sect. 2.5: Problems 9, 10, 11
======Midterm Oct 12===========
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Homework # 7: Assigned Oct 13, Due Oct 17
 Sect. 2.5: Problems 12, 13.