Math 10A Final Exam
Review Session
Time: 6:30pm – 8:30pm
Date: December 6
th
, 2006
Location: Center 113
Basic Information for the Final Exam:
The exam will consist of
8 questions, with multiple parts
.
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
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
. Actually, also
bring your
student ID
card
, as we will be checking those at the exam.
We reserve the right to place your backpacks in the front of the class. Also, don’t worry
about bringing a blue book, as you will be able to write directly on the exam.
The exam will be held
Friday, December 8
th
, 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.)
Do not cheat on this exam. During the midterms, there have been issues that have popped
up. Cheating will be taken seriously and
you will fail the course
. So, please do not cheat.
Also, solutions will be posted on my website http://math.ucsd.edu/~wgarner/math10a/
some time after the exam so you can get a rough idea how you did (by Monday). Finally,
grades should be posted on Tritonlink around December 18
th
, if not sooner.
Lecture/Time
Room
Eggers/9am
PETER 108
Small/12pm
PETER 110
Cioaba/1pm
SOLIS 107
Stevens/4pm
WLH 2001
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View Full DocumentMath 10A Final Exam Review Outline
2
Sections 1.1: Functions and Change
Know the formula for a linear function:
y
=
mx
+
b
, where
m
is the slope,
b
is
y
int
Given two points, know how to compute
m
.
Know how to tell the difference between different lines (look at slopes/
y
int)
Know what it means for a graph to be increasing/decreasing
ex.
Is
f
(
x
) = sin(
x
) increasing or decreasing on [
p
/2,
p
/2].
Given a function, interpret its meaning
ex. If
P
(
x
) is the price of
x
units, what is the meaning of
P
1
(200)?
Sections 1.2 / 1.4: Exponential Functions / Logarithmic Functions
Know the general exponential function:
P
=
P
0
a
t
, where
P
0
is the initial quantity, and
a
is the factor by which
P
changes when
t
increases by 1.
Given two points on an exponential curve, find the equation
ex.
f
(1) = 12,
f
(3) = 108, find a formula for
f
(
t
) =
Q
0
a
t
.
ex. The size of a bacteria colony grows exponentially as a function of time. If the
size of the bacteria colony doubles every 3 hrs, how long will it take to triple?
ex. The fraction of a lake’s surface covered by algae was initially 0.42 and was
halved each year since the passage of antipollution laws. How long after the
passage of the law was only 0.07 of the lake’s surface covered with algae?
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 Winter '07
 Arnold
 Math, Derivative, blue book, Granny, Gilmore, Will Garner, Optimization and Modeling

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