Tufts University Department of Mathematics Math 136 Homework 4 Due, Tuesday, March 4, 2008 in class. Here is a theorem that may be used on this homework even if we don't prove it until after this home
Math 136, Answers to Review Problems for Test 1 1. We calculate Df using the chain rule and the fact that F (x, y, f (x, y) = 0. We define 1 0 x 1 . We know G is differentiable G(x, y) = y and
Math 136, Review problems for test 1 I will have office hours 1:30-2:30 on Thursday. We will have a review session at 3:30 on Friday, February 8, and I think it will be in BP 2. The test will be on Mo
Tufts University Department of Mathematics Math 136 Homework 5 problems 2(a) and 5. 2008.
Notes: I'm putting some review of infima and suprema here. Some of the things I'm saying you will already kno
Tufts University Department of Mathematics Math 136 Homework 5 This assignment is due Tuesday, March 11, 2008 in class. 1. (15 points) Let > 0. Let f : Rn R be bounded and let R be a nonempty subset
Tufts University Department of Mathematics Math 136 Homework 4 problem 4. 2008. 1. 2. 3. 4. (15 points) Let A Rn be bounded and let g : A R be bounded. Let S0 be a rectangle with sides parallel the
MATH
HW
136
/1 2, 3(s-, 6 ~
20
/
OJ? ,
'f
I
\
I
L.
\ e~ '1
o
o
/l
~.
l
c~
(
\
J
.I+-htnk we
. p. 'f-Iff,
}.s,
'=: (
&iN
.rhollv rhd'f .F.-I, I
De/. ./
d /Y/dependetlT oj' t-Ae ~ht>
Tufts University Department of Mathematics Math 136 Take-home Test 2 VERSION 2 Due at the start of class, Tuesday, April 1, 2008 (no exceptions). NOTE: This is the same as version 1 handed out in clas