Math 118 : Winter 2009 : Homework 1 Solution
January 18, 2009
1
(a)
+
g (k ) =
+
=
eikx g (x)dx
eikx f (x/a)dx
+
eikay f (y )dy
=a
= af (ak )
(b)
+
g (k ) =
+
=
eikx g (x)dx
eikx f (x)dx
+
eikx f (x)d
Math 118 : Winter 2009 : Homework 2 Solution
February 13, 2009
1
f (x)dx
(1)
Rn
(1 + r) rn1 drd
=
=Cn1
(1 + r) rn1 dr
(2)
(3)
0
where Cn1 is the measure of (n 1)-dimensional sphere which is nite.
If >
Math 118 - Winter 2009 - Midterm Exam
Name:
Student ID:
Signature:
Instructions: Print your name and student ID number, write your signature to indicate
that you accept the honor code. During the test