Math 564, Fall 2008
PROBLEM SET 1
D. Jakobson
due Wednesday, September 17, by 5pm
Do all the problems. Every problem is worth 5 points. Some problems will
not be graded because of time constraints.
Rudin, chapter 1, # 2, 6, 9, 10, 12.
Problem 6 Let f : X
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 4
You should carefully work out all problems. However, you only have to hand in solutions
to problems 1 and 2.
This assignment is due Wednesday, Februar
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 1
You should carefully work out all problems. However, you only have to hand in solutions
to problems 2 and 5.
This assignment is due Wednesday, January
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 5
You should carefully work out all problems. However, you only have to hand in solutions
to problems 1 and 2.
This assignment is due Wednesday, Februar
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 6
You should carefully work out all problems. However, you only have to hand in solutions
to problems 3 and 5.
This assignment is due Wednesday, Februar
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 7
This assignment is NOT to be handed in. Nonetheless, you should carefully work out all
problems.
1. Let fn : [a, b] R for all n N and f : [a, b] R be
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 2
You should carefully work out all problems. However, you only have to hand in solutions
to problems 1 and 2.
This assignment is due Wednesday, January
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 9
You should carefully work out all problems. However, you only have to hand in solutions to
problems 3(b)+(c) and 5.
This assignment is due MONDAY, Mar
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 10
This is a practice assignment and it will not be collected or marked. However, you should
carefully work out all problems. However, question 5 is NOT
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McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 3
You should carefully work out all problems. However, you only have to hand in solutions
to problems 2 and 4.
This assignment is due Wednesday, Februar
McGill University
Department of Mathematics and Statistics
MATH 243 Analysis 2, Winter 2015
Assignment 8
You should carefully work out all problems. However, you only have to hand in solutions
to problems 1 and 2.
This assignment is due MONDAY, March 23,
Math 564, Fall 2008
D. Jakobson
PROBLEM SET 3, additional problems
due date TBA.
Do all the problems. Every problem is worth 5 points. Some problems will
not be graded because of time constraints.
Problem 9
a) Let N n + 1 and let A1 , A2 , . . . , AN be a
Math 564, Fall 2008
PROBLEM SET 3
D. Jakobson
due date to be announced.
Do all the problems. Every problem is worth 5 points. Some problems will
not be graded because of time constraints.
Rudin, chapter 3, # 3, 4, 5, 7, 14, 16, 17, 18.
Math 564, Fall 2008
PROBLEM SET 2
D. Jakobson
due date to be announced.
Do all the problems. Every problem is worth 5 points. Some problems will
not be graded because of time constraints.
Problems 6, 7, 8 from Problem set 1 (extended).
Rudin, chapter 2, #
Math 564, Fall 2008
PROBLEM SET 5 (THE LAST ONE)
D. Jakobson
due date TBA
Do all 8 regular problems. Every problem is worth 5 points. Some problems
will not be graded because of time constraints.
Rudin, chapter 5, # 8, 11, 16, 18
Rudin, chapter 6, # 4, 8,
Math 564, Fall 2008
PROBLEM SET 4
D. Jakobson
due date to be announced.
Do all the problems. Every problem is worth 5 points. Some problems will
not be graded because of time constraints.
Rudin, chapter 4, # 3, 6, 11, 13, 14, 17, 19.
Math 564, Fall 2008
D. Jakobson
TAKE HOME MIDTERM
due Monday, November 3, 2008.
Do any 7 of the following 8 problems. Every problem is worth 10 points.
In Problems 1, 2, apply GrammSchmidt orthogonalization process to the polynomials 1, x, x2 , x3 , . in
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