University of Toronto at Scarborough
Department of Computer and Mathematical Sciences
MATB43 Midterm Test Date: February 23, 2039
Examiner: R. Grinnell Duration: 120 minutes
Clearly indicate the following information:
SOLUTLONS
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SOLUTIONS
- MAT343 - Introduction to Analysis Quiz # 2 March 17, 2009
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Name:
Student Number:
1. This quiz has 3 numbered pages. It is your responsibility to ensure that all of these pages are
included. ' '
2. Answer all questions in the

1
Sequences
Denition (sn ) converges to s i lim sn = s, i.e.
> 0, N st n N , |sn s| < .
1.1 Useful tools (1:05)
Proposition
Let S R st S is bdd above.
(sup S , sup S].
Then > 0, x S such that x
Question What happens if:
1. S = ?
2. S = cfw_x?
3. More ge

University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATB43
Assignment 4
Winter 2009
Due Date: Thursday, February 26 at the beginning of the lecture, 1:10pm.
In writing out proofs for the assignment problems, you may freely

University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATB43
Due Date:
Assignment 6
Winter 2009
Thursday, March 26 at 1:10 pm.
Relevant Text Sections: 21 - 24
Problems:
1. Let a < b and assume f : [a, b] R is continuous on [a

University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATB43
Assignment 1
Winter 2009
Due Date: Thursday, January 22 at the beginning of the lecture, 1:10pm.
Before submitting your assignment, you should (re-) read the headin

University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATB43
DUE DATE:
Assignment 5
Winter 2009
Thursday, March 12 at 1:10 pm.
Relevant Text Sections: 17 - 21
1. Let k be natural number 2, let ai be real for 1 i k and assume

University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATB43
Assignment 7
Winter 2009
Relevant Text Sections: 24, 32, 35 and 36
Problems:
1. A metric space (X, d) is said to be disconnected iff there exists non-empty, disjoin

University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATB43
Assignment 2
Winter 2009
Due Date: Thursday, January 29 at the beginning of the lecture, 1:10pm.
In writing out proofs for the assignment problems, you may freely u

University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MATB43
Assignment 3
Winter 2009
Due Date: Thursday, February 12 at the beginning of the lecture, 1:10pm.
In writing out proofs for the assignment problems, you may freely