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 homework is due. Theorem 1 Let A Rn . Then A has meas
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 note that Dg = 0 f f f (x, y) x y since its coord
Math 136, Review problems for test 1 I will have office hours 1:302:30 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 Monday, February 11, 12:001:20 in the Terrace Room.
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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 of Rn . Assume that for all x1 R and all x2 R, 
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 axes that contains A. Let > 0 and let P be a part
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Tufts University Department of Mathematics Math 136 Takehome 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 class on Tuesday, March 25, except that problems 3 b a