Math 4355 Spring 2010
Name:
TEST #1
No books or notes allowed. Please, write clearly and justify all your steps, to get proper credit for
your work.
(1)[3 Pts] (i) State the denition of orthogonal complement of an inner
product space V .
(ii) Let V = R3 a
Math 4355 Spring 2012
Name:
TEST #3
No books or notes allowed. Please, write clearly and justify all your steps to get proper credit
for your work. Please, use a separate page for each problem.
(1) [6 Pts] Let
cfw_
(x) =
1
0
0x1
otherwise;
cfw_
g (x) =
x
Math 4355 Spring 2012
Name:
TEST #2
No books or notes allowed. Please, write clearly and justify all your steps to get proper credit for
your work. Please, use a separate page for each problem.
USEFUL FORMULAS:
Sine series. For f (x), x [0, ],
f (x) =
bk
Math 4355 Spring 2012
Name:
TEST #1
No books or notes allowed. Please, write clearly and justify all your steps, to get proper credit for
your work.
Use a separate page for each problem.
(1)[3 Pts] Let V = R4 .
(a) State the denition of orthogonal complem