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The following questions appeared on some prior nal exams. These
are only questions for (optional) extra practice. Disclaimer, these
problems do not necessarily constitute a complete or comprehensive
list of topics for material covered in this course.
1. L
The following questions appeared on some prior nal exams. These
are only questions for (optional) extra practice. Disclaimer, these
problems do not necessarily constitute a complete or comprehensive
list of topics for material covered in this course.
1. L
Notation
N = cfw_1, 2, 3, 4, . . . is the set of natural numbers.
Z = cfw_0, 1, 2, 3, . . . is the set of integers.
Q = cfw_ p  p, q Z and q = 0 is the set of rational numbers.
q
I = cfw_x R  x Q is the set of all irrational numbers. These are
/
num
The problems and proofs on this sheet and on assignment 11 pertain to
lecture material covered in the last two weeks of classes. These are provided in
order to assist you with your nal exam preparations. Specically, these allow
you to test your understand
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 11
You will NOT submit any of these questions but you should make sure that you are able
to answer them. Your TA may present solutions fo
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 10
You are expected to work on this assignment prior to your tutorial during the week of
July 25th. You may ask questions about this assi
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 9
You are expected to work on this assignment prior to your tutorial during the week of
July 18th. You may ask questions about this assig
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 8
You are expected to work on this assignment prior to your tutorial during the week of
July 11th. You may ask questions about this assig
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 7
You are expected to work on this assignment prior to your tutorial during the week of
July 4th. You may ask questions about this assign
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 3
You are expected to work on this assignment prior to your tutorial during the week of
May 30th. You may ask questions about this assign
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 2
You are expected to work on this assignment prior to your tutorial during the week of
May 23rd. You may ask questions about this assign
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A37H
Summer 2011
Assignment # 1
You are expected to work on this assignment prior to your tutorial during the week of
May 16th. You may ask questions about this assign