MATH 618 (SPRING 2010): FINAL EXAM
Instructions: All lemmas, claims, examples, counterexamples, etc. require proof,
except when explicitly stated otherwise.
Closed book: No notes, books, calculators,
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
SELECTED PROBLEMS IN HOMEWORK 9
Warning: Little proofreading has been done.
1. Rudin Chapter 10 Problem 11
Problem 1.1. Let C satisfy | = 1. Calculate
2
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
HOMEWORK 8
Warning: No proofreading has been done.
1. Rudin Chapter 10 Problem 21
Problem 1.1. Let C be an open set which contains the closed unit disk.
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
HOMEWORK 7
Warning: No proofreading has been done.
1. Rudin Chapter 10 Problem 8
Problem 1.1. Let P and Q be polynomials such that deg(Q) deg(P ) + 2. Le
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
SELECTED PROBLEMS IN HOMEWORK 6
Little proofreading has been done.
For some problems, several solutions are given, usually corresponding to dierent
appro
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
HOMEWORK 5
Little proofreading has been done.
For some problems, several solutions are given, usually corresponding to dierent
approaches taken by studen
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
HOMEWORK 2
Conventions on measures: m is ordinary Lebesgue measure, m = (2 )1/2 m,
and in expressions of the form R f (x) dx, ordinary Lebesgue measure i
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
HOMEWORK 1
Conventions on measures: m is ordinary Lebesgue measure, m = (2 )1/2 m,
and in expressions of the form R f (x) dx, ordinary Lebesgue measure i
MATH 618 (SPRING 2013): FINAL EXAM SOLUTIONS
Instructions: All lemmas, claims, examples, counterexamples, etc. require proof,
except when explicitly stated otherwise.
Closed book. In particular, no no
MATH 618 (SPRING 2010): FINAL EXAM SOLUTIONS
Instructions: All lemmas, claims, examples, counterexamples, etc. require proof,
except when explicitly stated otherwise.
Closed book: No notes, books, cal
MATH 618 (SPRING 2013): FINAL EXAM
Instructions: All lemmas, claims, examples, counterexamples, etc. require proof,
except when explicitly stated otherwise.
Closed book. In particular, no notes or boo
MATH 618 (SPRING 2013, PHILLIPS): SOLUTIONS TO
HOMEWORK 10
Warning: Little proofreading has been done.
1. Rudin Chapter 10 Problem 9
Problem 1.1. For t R, use the method of Problem 8 to compute
eitx
d