Wednesday, February 24
Announcements
If you submitted your Quiz #2 for a regrade, come pick it up
from me (before or after class)
WeBWorK #6 is due at 9pm
Covers material from “Week 6”—see syllabus on course
web page
Solutions to (all versions of) Quiz #3 are online
Quiz #3 papers will be available in the MLC starting
tomorrow
Grades posted in Connect by Friday
Wednesday, February 24
“More than Math”...Wednesdays?!
Wednesday, February 24
Faculty of Science: Moving from first to second year
1
Register for, and attend, “Beyond First Year”
— various times between today and next Wed.
2
Consider your Specialization options
3
Attend “Meet Your Major”
— Monday, March 7, 5:30–7:30pm
— Life Sciences Centre West Atrium
4
Think about your top 3 choices by the end of term
5
Apply online in June.
(master link on Piazza)
My advice
Really look into lots of options. Great opportunity to
customize your education.
All programs will require work. Look for programs where
you will want to do that work!
Wednesday, February 24
Clicker Questions
Clicker Question 1
Yet another improper integral (asymptote at an endpoint)
Determine whether
Z
π/2
sec2 x dx
0
is convergent or divergent; if it is convergent, find its value.
A. 1
Z
B. π/2
C. divergent
√
D. 3
E. none of the above
0
π/2
Z
2
sec x dx = lim
π
t→ 2 − 0
= lim
π
t→ 2 −
=∞
t
sec2 x dx
tan t − tan 0
Clicker Question 2
Comparing two improper integrals
R∞
We saw on Monday that 1 x12 dx is convergent. Suppose that
g(x) is a continuous function satisfying 0 ≤ g(x) ≤ x12 for all
x ≥ 1. What do you think we can say about
Z ∞
g(x) dx ?
1
A. impossible to tell, even
with the formula for g(x)
1
y=1x2
B. might be convergent or
divergent, depending on
the formula for g(x)
y=gHxL
C. has a negative value
2
3
4
D. definitely convergent
E. definitely divergent