Math 432-532
Prof. Dimock
Spring 2015
name.SOLUTIONS.
class (432 or 532?) .
Exam 1
1. Consider the following subsets of R2
A = R2
B = cfw_(x, y) : |x| 1
C = cfw_(x, y) : 0 x 1, 0 < y < 1
D = cfw_(
Math 432-532
Prof. Dimock
Spring 2015
name.
class (432 or 532?) .
Exam 2
1. (10 points) A polynomial in cos x is a function of the form
n
ck (cos x)k
p(x) =
k=0
Show that every continuous function on
Syllabus for Math 432-532
Spring 2015
Prof. Dimock
1. This is a course in analysis in several variables. The textbook is Principles of Mathematical Analysis by Rudin. The prerequisite for the
course i
Math 432-532
Prof. Dimock
Spring 2015
name.
class (432 or 532?) .
Exam 3
1. (12 points) Let f be a C function (i.e. C k for all k) dened in an open ball in Rn
around the origin. Let x be a point in th