Math 4A3 / Homework #2 and Practice Problems # 6
October 21, 2013
Assigned problems: The following four problems are due in class on Monday Nov. 4.
(A) p. 153 # 20; (B) p. 159, # 29; (C) p. 116, # 53; and
(D) Let (M, d) be any metric space, and suppose Fk
Math 4A3 / Homework Assignment # 3
November 18, 2013
Due: in class on Wednesday November 27.
t
1
A. Dene Pt (x) =
.
x2 + t2
(i) verify the following properties of Pt (x):
1. Pt (x) > 0 for all x R, t > 0;
2.
Pt (x) dx = 1 for all t > 0;
3. For all > 0,
l
Math 4A3 / Practice Problem Set # 7
November 4, 2013
From the text:
p. 180, # 49, 50 p. 182, # 57 (you must assume the family is pointwise bounded as well!),
58 (do # 20 on p. 169 rst), 63, 64, 65
1
pp. 168-169, # 7, 14, 15 (Hint: |x 1 | is continuous but
Math 4A3-6A3 / Real Analysis II
Prof. S. Alama
HH/421, x27363, alama@mcmaster.ca
http:/www.math.mcmaster.ca/alamas/main/m4a3_2013/m4a3.html
This course continues the study of functions of a real variable begun in Math 3A03. The unifying
concept in this cl