This preview shows pages 1–3. Sign up to view the full content.
1
Math 10B Final Exam
Review Outline
Basic Information for the Final Exam:
The final will consist of approximately
89 questions
. The
final exam will be cumulative
;
it will not focus too much on any particular topic. Most likely, the recent material will have
more emphasis than the older material. However, in a math class, it all builds upon itself.
You
will
be allowed a calculator on the exam, so please bring one. There is no restriction
on what you can bring, but you will not need anything more powerful than a TI83. (You
can probably get away with just a TI34 or no calculator, actually.)
You
should
bring a number two pencil. (You can bring more than one if you feel so
inclined.) You are permitted a
handwritten
reference sheet on the exam (8.5 x 11
inches). You can put whatever you feel is important on it (see the rest of this document
for ideas.) Please,
do not bring anything more than this.
We reserve the right to place your backpacks in the front of the class. You don’t need to
worry about bringing a blue book, as you will be able to write directly on the exam.
The exam will be held
Wednesday, March 21
st
, 2006 from 7:00 – 10:00pm
, in the
following rooms:
The test is designed to take about two hours. This means that you should have sufficient
time to go back through your work and check your math. Remember,
does your answer
make sense?
(Draw a picture/plug numbers in.)
Solutions will be posted on the Math 10B website http://math.ucsd.edu/~jeggers/math10b/
some time after the exam so you can get a rough idea how you did. (Solutions should be up
by Tuesday morning, if not sooner.)
I have included a reference sheet for the material from the course. Most formulas have
been included. You can look over this, but you will not be allowed to use it on the exam.
(You are allowed to bring a
handwritten
page of notes.)
Lecture/Time
Room
Eggers/9am
??
Hohnhold/8am
??
Berg/4pm
??
Bell/2pm
??
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentFormula Sheet for Math 10B – Final Exam
Common Integrals
:
1
.
adx
ax C
=+
∫
,
a
constant.
2
.
1
1
n
n
ax
n
ax dx
C
+
+
∫
,
1
n
≠−
3
.
1
ln
x
ad
x a x C
∫
4
.
11
ln
ax b
a
dx
ax b
C
+
+
∫
5
.
1
ax
ax
a
ed
x
e C
=
+
∫
6
.
( )
2
1
1
arctan
x
dx
x
C
+
=
+
∫
7
.
1
cos(
)
sin(
)
a
ax dx
ax
C
=
+
∫
8
.
1
sin(
)
cos(
)
a
ax dx
ax
C
=
−+
∫
First Fundamental Theorem of Calculus
:
“If
f
is continuous on [
a
,
b
] and
f
(
t
) =
F
′
(
t
), then
()
b
a
ftd
t
∫
=
F
(
b
) –
F
(
a
).”
Second Fundamental Theorem of Calculus
:
“If
f
is continuous on an interval and
a
is any number
in that interval, then the function
F
is defined as
follows is an antiderivative of
f
:
x
a
Fx
t
=∫
.”
Average value of
f
from
a
to
b
:
1
b
a
ba
f xdx
−
∫
Properties of integrals
:
1
.
ab
∫=
−
∫
2.
cbb
ac
a
∫+
∫
3.
bb
b
aa
a
f
xg
x
d
x
f
x
d
x
g
x
d
x
∫±
=
∫
±
∫
4.
cf x dx
c
f x dx
∫
5. If
f
(
x
)
≤
g
(
x
) for
a
≤
x
≤
b
,
t
h
e
n
gxdx
∫≤
∫
Deriv/Int of Sin/Cos
:
Equations of Motion
:
2
00
1
2
st
g
t
vt s
=−
+
+
,
v
0
,
initial velocity,
s
0
initial
position,
g
is gravity (either
32 ft/sec
2
or 9.8 m/sec
2
.)
Integration By Substitution
:
(()
) ()
)
f gx g xd
x f gx
C
′′
∫
If you see a function inside of another function
(typically with parentheses), let the inside function be
This is the end of the preview. Sign up
to
access the rest of the document.
 Winter '07
 Hohnhold
 Math, Calculus

Click to edit the document details