Amherst College
Department of Mathematics
Math 111.03
Practice Exam 1
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to r
Amherst College, DEPARTMENT OF MATHEMATICS
Math 11, Final Examination, May 14, 2010
This is a closed-book examination. No books, notes, calculators, cell phones, communication
devices of any sort, or
Math 111, Introduction to the Calculus, Fall 2011
Midterm II Practice Exam 1 Solutions
1. Find the derivative of each of the following functions (no explanation is necessary, but
it may help you get t
Math 111, Fall 2011: Midterm I Study Guide
The first midterm will take place on Friday 30 September at 9:00am in Seeley Mudd 206. It
will be 50 minutes long. You will not be allowed to use notes, book
Math 111, Introduction to the Calculus, Fall 2011
Final Exam Solutions
1. (5 points each) Calculate each of the following limits. You should say if the limit is
equal to a particular value, is or if i
Math 111, Introduction to the Calculus, Fall 2011
Midterm III Practice Exam 1 Solutions
1. Find the critical points of the function
f (x) = x2 (x + 1)2
For each critical point, decide if it is a local
Math 111, Fall 2011: Midterm III Study Guide
The third midterm will take place on Friday 2 December at 9:00am in Seeley Mudd 206. It will
be 50 minutes long. You will not be allowed to use notes, book
Math 111, Introduction to the Calculus, Fall 2011
Midterm I Solutions
1. Sketch, on separate diagrams, graphs of the following functions for the range 0 x 2:
(a) cos(x)
(b) cos(2x)
(c) cos x
2
(d) c
Math 111, Introduction to the Calculus, Fall 2011
Midterm II Practice Exam 2 Solutions
1. (a) State the product rule for finding the derivative of a product f (x)g(x) of two
functions f and g.
(b) Use
Answer Key, Math 11, Final Examination, December 19, 2009
1. [20 Points] Evaluate each of the following limits. Please justify your answers. Be clear if the
limit equals a value, + or , or Does Not Ex
Math 111, Introduction to the Calculus, Fall 2011
Midterm III Practice Exam 1
You will have 50 minutes for the exam and are not allowed to use books, notes or calculators.
Each question is worth 10 po
Amherst College
Department of Mathematics
Math 111.03
Practice Exam 1
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to r
Amherst College
Department of Mathematics
Math 111.03
Practice Exam 2
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to r
Amherst College
Department of Mathematics
Math 111.03
Exam 1
Fall 2015
Name:
Read This First!
Please read each question carefully. Show ALL work clearly in the space provided.
In order to receive fu
Amherst College, DEPARTMENT OF MATHEMATICS
Math 11, Final Examination, May 14, 2010
Answer Key
1. [20 Points] Evaluate each of the following limits. Please justify your answers. Be clear if the
limit
Amherst College, DEPARTMENT OF MATHEMATICS
Math 11 Final Examination, December 22, 2010
Answer Key
This examination booklet consists of 12 problems on 15 numbered pages. If you have received a
defect
Math 11
Final Examination
May 11, 2011
Answer Key
1. [20 Points] Evaluate each of the following limits. Please justify your answers. Be clear if the
limit equals a value, + or , or Does Not Exist.
0
x
Math 111, Introduction to the Calculus, Fall 2011
Midterm I Practice Exam 2 Solutions
1. Prove, using the precise definition of limit, that the function
f (x) = x
is continuous at x = 1.
Solution: We
Math 111, Fall 2011: Midterm II Study Guide
The second midterm will take place on Friday 28 October at 9:00am in Seeley Mudd 206. It will
be 50 minutes long. You will not be allowed to use notes, book
Math 111, Introduction to the Calculus, Fall 2011
Midterm I Practice Exam 1 Solutions
For each question, there is a model solution (showing you the level of detail I expect on the
exam) and then below
Math 111, Introduction to the Calculus, Fall 2011
Midterm III Solutions
1. Calculate the following integrals
Z 4
1
dx
(a)
x
1
Z 0
(b)
sin(2t) dt
/2
(a) Since
1
x
= x1/2 we have
Z
4
x
1/2
1
x1/2
dx =
Amherst College, Math 11 Final Examination, December 22, 2010
This is a closed-book examination. No books, notes, calculators, cell phones, communication
devices of any sort, or other aids are permit
Math 111 Final, Manack, Fall 11.
You have 3 hours to take the nal. No calculators, notes, books, cell phones, communication
devices or aids of any sort are allowed. Show all your work and justify all
Final Exam, Math 111-04, Fall 2012
Wednesday, December 19, 2012
Name:
Instructions: Do all the problems, and show all work, on your exam paper. If you
need more space, you may use additional sheets of
Math 111, Section 01, Fall 2011
Final Exam
1. (20 points) Compute the following derivatives.
d x
a.
[e sin(5x)]
dx
x
csc(et ) dt.
b. F (x), where F (x) =
e
dy
, where e2x ey + xy = e2 .
c.
dx
d. G (ln
Math 111 Final Exam
Dec. 19, 2012
1. (5 points each) Compute each of the following limits. You should say if the limit is
equal to a particular value, if it is , or if it does not exist.
x2 + 3x + 2
.
Math 111, Spring 2013
Final Exam, Math 111, Spring 2013
Instructions: Do all the problems, and show all work, including scratch work, on your exam
paper. If you need more space, use the back of any pa
Math 111, Introduction to Calculus, Fall 2012
Final Exam
Wednesday 19 December
You have 3 hours for this exam.
You may not use books, notes, calculators, cell phones or any other aids.
You must exp
Math 111
Final Exam
1. Evaluate each of the following limits.
[15]
x2 + 5x + 6
x! 3 x2 + 2x
3
4 2x
(b) lim
x! 1 5
x + 3x2
2
x
x 2
(c) lim 2
x!2 x
4x + 4
(a) lim
(d) lim
4
x
x! 4
1
x+3
x+4
2. Compute e
Math 111
Final Examination
December 19, 2012
This is a closed-book examination. No books, notes, calculators, cell phones, communication
devices of any sort, webpages, or other aids are permitted.
Y