Monday, March 21
Announcements
If you submitted your Quiz #4 for a regrade, come pick it up
from me (before or after class)
WeBWorK #10 is now open
Due Wednesday at 9pm
Covers material from “Week 10”—see syllabus on course
web page
Solutions to (all versions of) Quiz #5 are online
Quiz #5 papers will be available in the MLC starting
Thursday
Grades will be posted in Connect by Friday
Monday, March 21
Clicker Questions
Clicker Question 1
A series with a
parameter
Using the Ratio Test,
determine values of C
for which the series
∞
X
tan−1 n n
C
(−3)n
n=1
converges and
diverges.
Bigger or smaller than 1?
an+1 lim
n→∞ an tan−1 (n + 1) · |C|n+1 /3n+1
n→∞
tan−1 n · |C|n /3n
−1
tan (n + 1) |C|
·
= lim
n→∞
tan−1 n
3
π/2 |C|
|C|
=
=
.
π/2 3
3
= lim
A. converges for −3 < C < 3; diverges for C > 3 and C < −3
B. converges for − 31 < C < 13 ; diverges for C >
1
3
C. converges for 0 < C < 13 ; diverges for C >
and C < 0
1
3
and C < − 31
D. converges for −3 < C < 0; diverges for C > 0 and C < −3
E. none of the above
Clicker Question 2
An off-centre power series
On which of the following intervals does
∞
X
2n3 (x − 5)n
n=0
converge?
A. −6 < x < −4
B. 4 < x < 6
C. −6 < x < 6
D. −1 < x < 1
E. none of the
above
Still the Ratio Test
3
n+1
an+1 = lim 2(n + 1) |x − 5|
lim n→∞ an n→∞
2n3 |x − 5|n
(n + 1)3
= lim
|x − 5|
n→∞
n3
= |x − 5|.
And |x − 5| < 1 precisely when 4 < x < 6.
(Check x = 4 and x = 6 separately, using
the Test for Divergence.)
Monday, March 21
“More than Math Mondays”
Beginning of Spring
edition
Monday, March 21
Resources
UBC Student Health Service
birth control
STI tests
HPV vaccine
other standard tests
UBC Wellness Centre
Safer Sex Product Guide
Sex and Sexual Health
Consent is Clear
Sexual Assault Support Centre and UBC Pride Collective
information, complimentary condoms, etc.
SexualityandU.ca
(These slides are posted on our section’s web page, with all
hyperlinks enabled.)
Monday, March 21
Cultural Myth #1
There’s some “right amount” of sex to have, in the “right
situations”, with the “right people”; others get to police you.
The truth: your decision
You can have as much—or as little—sex as you want, for
whatever reasons you want, with any gender you want. Nobody
else gets to decide for you, or shame you for your choices.
Cultural Myth #2
There’s some secret code, some complicated flowchart of
situations and timing, some set of loopholes. . . ; successfully
navigating this code is the way to get to have sex with someone.
The truth: consent culture
If you and they want to have sex with each other, then do so. If
you’re not sure what they want, find out first.