Assignment #8 : Assigned on April 17, due April 29

#1. Problem 1 of Section 11.1.
#2. Find flow past the cylinder r = a ( 1- \epsilon \sin \theta )
    (See example in text pp.472--473.)

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Assignment #7 : Assigned on April 10, due April 22.

Section 10.2, pp.463--464,
1, 2, 3, (no proof, two terms are sufficient);

Section 10.3, p.465,
9.



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Assignment # 6: Assigned on Tuesday March 25; Due Thursday April 10, 2003.

1. Solve Poisson's equation

- \Delta u = f

on an infinite strip:

-\infty < x  < \infty,
0 < y < a

with homogeneous Dirichlet boundary conditions at
y =0 and a.
(Text book, p.349: use expansion u(x, y) = \sum_{n=1}^\infty
u_n(x)\sin \f{m\pi y}{a}. )

2. Problem #6 in the text book p.407.




Assignment # 5: Assigned on Tuesday March 11; Due March 25, 2003.

Solve the problem:

u_t + (u^4)_x = 0;   

u(0, x ) = 2,  for x < 0;
u(0, x) = 0, for x > 0.






Assignment # 4: Assigned on Feb 20 Thursday; Due Tuesday March 4, 2003.

Chapter 4, Sect. 4.1.
Problems 1(b)(c), p.172;
Problem 1(a) is optional (note typo: |x| greater or equal to 1.)
Problems 6 and 12.







Assignment # 3: Assigned on Jan 29; Due Tuesday Feb 18, 2003.

P204, Sect. 5.1: 2, 10, 11, 12. 
Note in problem 10, change the term pi/2 to 1.






Assignment # 2: Due Thursday Jan 24, 2003.
6,8, and extra (see class note).






Assignment # 1: Due Thursday Jan 23, 2003
Sect 5.1 Problems 1, 7, 9.
Optional ones: 3 (tedious); 4(challenging)