MAT 237, Quiz 3 Name ——————————— TUTOlOl
I? I
Part A: (3 marks) Present definition of f is uniformly continuous on a set S. Negate this definition to
write a definition for f is not uniformly continuous on S.
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MAT 237, Quiz 5 Name ——————— TUTOlOl
Part A: (4 marks) Give statement of the IFT (the implicit function theorem) for a function F(9:,y) and a
point (a, b). , .
f (cub) 9 F(a_,b):o mgr @5045) #0
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MAT 237, Quiz 4 Name TUTOlOl
Part A: (2 marks) What does it mean for a point a to be a critical point of a function f. What does it
mean for this point to be a saddle point for f?
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reasoning.
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>\ “WV/V4) +X+AA+% =0 APTOD’ ﬁHrwl 4’ m M—B’
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MAT 237, PS5

Due, Friday Jan 31, 2:00 pm.
in SS Math Aid Center
FAMILY NAME:
FIRST NAME:
STUDENT ID:
Please note:
1. Your problem set must be submitted on this form. Please provide your nal, polished solutions in
the spaces provided. Remember, it is
MAT 237, PS2

Due, Friday Oct. 18, 2:00 pm.
in SS Math Aid Center
FAMILY NAME:
FIRST NAME:
STUDENT ID:
Please note:
1. Your problem set must be submitted on this form. Please provide your nal, polished solutions in the
spaces provided. Remember, it is
UNIVERSITY OF TORONTO
Faculty of Arts and Sciences
AUGUST EXAMINATIONS
MAT237Y1Y
Duration  3 hours
No Aids Allowed
Instructions: There are 8 questions and 13 pages including the cover page. There is a total of 110 marks
which include 10 bonus marks. Plea