MA 23100: Calculus for the Life Sciences I
Fall 2013
COURSE WEB PAGE: http:/www.math.purdue.edu/ma231
REQUIRED TEXTBOOK: Calculus for the Life Sciences, Marvin L. Bittinger, Neal Brand, and John
Quintanilla, 2006.
REQUIRED ONLINE HOMEWORK ACCESS: MyMathLa
MA 23100: Calculus for the Life Sciences I
Spring 2011
COURSE WEB PAGE: http:/www.math.purdue.edu/ma231
REQUIRED TEXTBOOK: Calculus for the Life Sciences, Marvin L. Bittinger, Neal Brand, and John
Quintanilla, 2006.
PREREQUISITE: MA 15300 and MA 15400, or
MA 23100: Calculus for the Life Sciences I
Assignment Sheet, Spring 2011
Date
1/10 M
1/12 W
1/14 F
1/17 M
1/19 W
1/21 F
1/24 M
1/26 W
1/28 F
1/31 M
2/2 W
2/4 F
2/7 M
2/9 W
2/11 F
2/14 M
2/16 W
2/18 F
2/21 M
2/23 W
2/25 F
2/28 M
3/2 W
3/4 F
3/7 M
3/8 T
3/9
Free Math and Science Tutoring
Free tutoring provided for 100 and 200 level Math, Science, and
Engineering courses
Location: Earhart Conference Room
When: Sunday Thursday from 7-10 PM (8-10
on Mondays)
What to bring: book, calculator, homework,
class n
MA 23100
NAME:
PUID:
Exam 3
INSTRUCTIONS
No books or notes are allowed.
You may use a one-line scientic calculator. No other electronic
device is allowed. Be sure to turn o your cellphone.
Show all your work in the space provided. Little or no credit m
MA 23100
NAME:
PUID:
Exam 3
INSTRUCTIONS
No books or notes are allowed.
You may use a one-line scientic calculator. No other electronic
device is allowed. Be sure to turn o your cellphone.
Show all your work in the space provided. Little or no credit m
MA 23100
NAME:
PUID:
Exam 1
INSTRUCTIONS
No books or notes are allowed.
You may use a one-line scientic calculator. No other electronic
device is allowed. Be sure to turn o your cellphone.
Show all your work in the space provided. Little or no credit m
MA 23100
NAME:
PUID:
Exam 1
INSTRUCTIONS
No books or notes are allowed.
You may use a one-line scientic calculator. No other electronic
device is allowed. Be sure to turn o your cellphone.
Show all your work in the space provided. Little or no credit m
MA 23100 Exam 2 key
Version A (green) Version B
1. B
1.
2. E
2.
3. D
3.
4. C
4.
5. A
5.
6. E
6.
7. C
7.
8. A
8.
9. C
9.
10. B
10.
11. C
11.
12. E
12.
1
(orange)
D
A
B
C
E
A
C
E
C
B
B
C
MA 23100 - Sample Exam 2
1. Find the slope of the line tangent to the curve y = x2 2x + 1 passing through the
point (4, 48).
A. m =
B. m =
C. m =
D. m =
E. m =
104
3
88
3
80
3
8
3
4
3
2. The position of a moving object, in feet, after t seconds, is given
MA 23100 - Exam 2 Curve - Spring 2011
Just a reminder: These cutos are preliminary,
and should only be used as an indicator of how you
did on this exam. The Final Exam is used, along
with Exam 2, to determine the curve for the course
at the end of the sem
MA 23100
Quiz 1
August 24, 2012
Problem 1. Solve the equation:
x2 = 14 5x
Answer. First we write the equation in the form ax2 + bx + c = 0, because
that is the form for which we have formulas. Subtracting 14 on both sides and
adding 5x, we write the equat
MA 23100
Quiz 2
August 31, 2012
Problem 1. Show that
1 + tan2 = sec2 ,
for any .
Answer.
sin2
cos2
2
cos + sin2
=
cos2
1
=
cos2
= sec2 .
1 + tan2 = 1 +
Here we used the fact that sin2 + cos2 = 1.
Problem 2. Find all solutions of the equation
1
cos t
MA 23100
Quiz 3
September 07, 2012
Problem 1. Find the following limit, if it exists. If it does not exist say so.
x x + 3x
lim
x0 x + x2
Answer. We start by trying to evaluate. We get:
0
,
0
which means that we cannot evaluate.
The next question is if th
MA 23100
Quiz 4
September 21, 2012
Problem 1. Find the derivative of the following function.
cos(x) x2 + 7x sin(x)
+
.
x
2
3
Solution. First we write the function as
cos(x) x2 + 7x sin(x)
1
x2
x
1
+
= cos(x) + 1 + 7 1 sin(x)
x
2
2
2
3
2
3
x
x
1
1
1
2 2
1
MA 23100
Quiz 5
September 28, 2012
Problem 1. Find the derivative
f (x) = sin( 3 x) cos( 2).
Solution. Lets rst rewrite f (x) in terms that do not involve radicals, but powers:
f (x) = sin(x1/3 ) cos(21/2 ).
Notice rst that cos( 2) is a constant and since
MA 23100
Quiz 6
October 10, 2012
Problem 1. Let
g (x) = x2/3 .
Find the critical points, relative maxima and relative minima.
Solution.
2
2
g (x) = x1/3 = 1/3
3
3x
Critical points are points were the derivative does not exist (in this case
x = 0) or the d
MA 23100
Quiz 7
October 24, 2012
Problem 1. Compute the following limits, if they exist
a.)
3 + x x2
x 9x 3x2
lim
b.)
3 + x2 x4
x 9x2 3x5
lim
Solution. Recall the only thing we need to do for computing limits at innity
is to check the highest power in the
MA 23100
Quiz 9
November 2, 2012
Problem 1. Two ships sail from a port at noon. One ship is sailing west at
speed of 30 km/h, the other one is sailing south at a speed of 40 km/h. At what
rate is the distance between the two ships changing 6 min after the
MA 23100
Quiz 10
November 26, 2012
Problem 1. Suppose the population of bacteria colony follows the following
dierential equation:
dP (t)
= kP (t),
dt
where t is in hours. If the initial bacteria population is 1000 individuals and the
growth rate is k = 0
MA 23100 Advisory Cutos for the Final Exam
Spring 2011
A: 164-200
B: 150-163
C: 120-149
D: 90-119
E: 0-89
The overall average (all sections) was 135.0
Note: Remember that these cutos are for your information only and pertain only to
the nal exam itself. T
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