Monday, January 18
Announcements
Today: last day for changes in registration/withdrawal
WeBWorK #2 is now open
Due Wednesday, January 20 at 9pm
Covers material from “Week 2”—see syllabus on course
web page
Solutions to (all versions of) Quiz #1 are online
Quiz #1 will be returned later this week
Monday, January 18
Clicker Questions
Clicker Question 1
Find a matching pair
Suppose that F is an antiderivative of f . Of the following four
expressions, which two are equal to each other? (Hint: what is
the derivative of F(g(x))? Use FTC part 2.)
b
A.
f (g(x))g (x) dx = F(g(x)) = F(g(b)) − F(g(a))
a
a
b
Z b
B.
f (u) du = F(u) = F(b) − F(a)
Z
b
0
a
Z
a
f (b)
C.
f (a)
Z
g(b)
D.
g(a)
f (b)
g (x) dx = g(x)
= g(f (b)) − g(f (a))
0
f (a)
g(b)
f (u) du = F(u)
= F(g(b)) − F(g(a))
g(a)
Monday, January 18
“More than Math” Mondays