Summary for Midterm One  Math 125
Here are some thoughts I was having while considering what to put on the first midterm.
The core of your studying should be the assigned homework problems: make sure you really
understand those well before moving on to other things (like old midterms).
•
4.10  Antiderivatives
–
You should know what it means for
f
(
x
)
to be an antiderivative of
g
(
x
)
.
–
Given two functions,
f
(
x
)
and
g
(
x
)
, you should be able to say whether or not
f
(
x
)
is
an antiderivative of
g
(
x
)
.
–
How many antiderivative does a function have?
–
What is that ”
+
C
” business all about?
•
5.1  Areas and Distances
–
How can we approximate the area of a region in the plane?
–
What is an interpretation of the area under the graph of a velocity function?
•
5.2  The Definite Integral
–
You should understand the definition of the
definite integral
and its relation to
area
under a curve.
–
You should be able to use the
midpoint
rule to approximate a definite integral.
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 Winter '08
 Chen
 Math, Calculus, Fundamental Theorem Of Calculus, FTOC

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