Math 1470
Homework #1
Math 1470 Homework #1
Due date: May 19, 2014
Problem 0.
Do the following problems in the book:
P5: 2 a, e, 4, 7;
P9: 1, 7, 9, 10.
Problem 1.
Consider the PDE
yuxx + (x + y)uxy + xuyy = 0,
(x, y) D = R2 \cfw_x = y.
Perform the change
Math 1470
Homework #1
Math 1470 Homework #1 Solutions
P5: 7 Solve
a(1 + x) + b(1 x) + c(1 + x + x2 ) = 0
for a, b, and c. It is equivalent to look at
cx2 + (a b + c)x + (a + b + c) 0
for all x. Hence it must be that a = b = c = 0. So we get linear indepen
Math 1470: Review Questions for Midterm I
You should not assume that the rst midterm exam will resemble this review sheet.
The problems below were chosen because they seemed interesting or because they
illustrated an important concept. They are not meant
Math 1470: Review Questions for Midterm I
You should not assume that the rst midterm exam will resemble this review sheet.
The problems below were chosen because they seemed interesting or because they
illustrated an important concept. They are not meant
Math 1470
Homework #3
Math 1470 Homework #3
Due date: June 11, 2014
Problem 0.
Do the following problems in the book:
P134: 2, 4, 6;
P135: 9, 11, 16;
P145: 3, 8, 11.
Problem 1.
Consider the functions fn (x) = arctan nx.
(1) Does this sequence converge poi
Math 1470
Homework #4
Math 1470 Homework #4
Due date: June 16, 2014
Problem 0.
Do the following problems in the book:
P160: 2, 4;
P165: 3, 4;
P174-175: 1, 2.
Problem 1.
Solve the following mixed boundary value problem for u = 0 in the square D = cfw_0 <
x
Math 1470
Homework #2
Math 1470 Homework #2
Due date: May 26, 2014
Problem 0.
Do the following problems in the book:
P38: 2, 9, 10;
P41: 1;
P46: 5, 6;
P52: 1, 6;
Problem 1.
Use energy method to show that the follow PDE
(x)utt = [k(x)ux ]x q(x)u, 0 < x <