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Math 312, Section 003 /l 7(
Lab session for Wednesday, January 14, 2015 [ a L
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Turn in your writeup at the beginning of class on Friday, January 16.
1. Let [(1,1)] be a closed bounded interval. Assume that f : [(1, b] > R is continuous
on [(1,
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Math 312, Section 003
Lab session for Wednesday, January 7, 2015
Turn in your write-up at the beginning of class on Friday, January 9.
1. (Problem 11, page 150.) For a partition P = {3:0, . . . , 23,1} of the interval [(1,1)], Show
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Math 312, Section 003
Lab session for Wednesday, January 28, 2015
Turn in your writeup at the beginning of class on Hiday, January 30.
1. Let
u(:c,t) = %[f(r+ct)+f(:r-ct)] + (£3
for all real 3: and all t 2 0, where c is a positive constant, and f and g ar
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Math 312, Section 003
Lab session for Wednesday, February 18, 2015
Turn in your writeup at the beginning of class on Friday, February 20.
1. For every positive integer 71, let
" 1 l 1
S: =1 e+. -
n g k + 2 + n - 1
(61) Find a positive con
1'1
Math 312, Section 003 -~
Second midterm exam
March 2, 2015
Show you: work on all problems.
1. Assume D C R and f1 : D > R for all integers n 21.
(8.) Dene what it means for the sequence {fn 3:1 of functions to converge uniformly
to a. function f on
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Math 312, Section 003
First midterm exam
February 9, 2015
Show your work on all problems.
1. Assume F(;r) = si11(:1:2) for all real 1, and also assume F(}) = 2. Use ideas
developed in class to find an expression for F(:1:) that is valid
Math 312, Section 003
Lab session for Wednesday, March 4, 2015
Turn in your writeup at the beginning of class on Friday, March 6.
1. Prove the following theorem, which is known as the Weierstrass Mtest.
Theorem. Assume D C R, fk : D ) R for all k 2 1, a
Math 312, Section 003
Lab session for Wednesday, February 11, 2015
Turn in your write-up at the beginning of class on Friday, February 13.
1. Let f(a:) = e for all real a.
(a) Let n be a. positive integer, and let 1),; be the Taylor polynomial of f of deg