Homework #10 Assigned Wed Nov 19, due Wed Dec 3

Section 4.7: Problems 4, 9.



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Homework #9 Assigned Monday Nov 10, due Wed Nov. 19

Section 4.7: Problems 3.

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Homework #8 Assigned Friday Oct 31, due Monday Nov. 10

Section 3.5: Problems 4, 11, 13, 14.

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Homework #7 Assigned Friday Oct 24, due Friday Oct 31

Section 3.5: Problems 2--3.

Note in 3(c), there should be a term u_{x_3} in the 
equation so the equation reads 
x_1 u_{x_1} + 2 x_2 u_{x_2} + u_{x_3} = 3u.
If your book is the latest version, then you have 
it already. If your book is an old version, 
please add the term u_{x_3}.

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Homework #6 Assigned Friday Oct 17, due Friday Oct 24

Section 2.5: Problems 12, 15--18.


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Homework #5 Assigned Oct 6; Due Oct 15.

Section 2.5: Problems 10--11.

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Homework #4 Assigned Sept 29; Due Oct 8.

Section 2.5: Problems 6--9.

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Optional Exercise (Recommended due date: Oct 1)

Read, understand, and prove Theorems 7, 10, 11
(Estimate of derivatives, Analyticity, Harnack's
inequality)

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Homework #3 Assigned Sept 15; Due Sept 24.

Section 2.5: Problems 3, 4, and 5.

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Homework #2 Assigned Sept 8; Due Sept 17.

Section 2.5: Problems 1 and 2.

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

Homework #1 Assigned Sept 2; Due Sept 10. 
(Updated 9/7/03 Sunday night)
-------------------------------------------
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 and n=3 and k=1, 2. 
(No proof needed.)


Problem #3: Write explicitly 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.)