Student name:
Earlham College
MATH 320: Dierential Equations
Fall 2013
Test 1  In class part
September 23, 2013
Instructions:
Answer all questions on separate paper (not on this sheet!).
This part is a regular closedbook test, and is to be taken witho
Student name:
Earlham College
MATH 320: Dierential Equations
Fall 2013
Test 2  In class part
October 28, 2013
Instructions:
Answer all questions on separate paper (not on this sheet!).
This part is a regular closedbook test, and is to be taken without
Student name:
MATH 320: Dierential Equations: Quiz 8 (11/1811/20/2013)
* This quiz must be taken in the Science Library.
* The timelimit is 45 minutes, and deadline is Nov. 20, 11 AM.
* You may use your class notes, homework and calculator.
(I) Find the
Student name:
MATH 320: Dierential Equations: Quiz 5 (10/0210/04/2013)
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*
*
*
This quiz must be taken in the Science Library.
The timelimit is 45 minutes, and deadline is Oct. 4, 10 AM.
You may use your class notes, homework and calculator.
No other ref
Student name:
MATH 320: Dierential Equations: Quiz 6 (10/1610/18/2013)
*
*
*
*
This quiz must be taken in the Science Library.
The timelimit is 45 minutes, and deadline is Oct. 18, 10 AM.
You may use your class notes, homework and calculator.
No other re
Student name:
MATH 320: Dierential Equations: Quiz 1 (8/288/30/2013)
* This quiz must be taken in the Science Library.
* The timelimit is 30 minutes, and deadline is August 30, 10 AM.
* You may use your class notes and homework. No calculators permitted.
Student name:
MATH 320: Dierential Equations: Quiz 3 (9/119/13/2013)
*
*
*
*
This quiz must be taken in the Science Library.
The timelimit is 30 minutes, and deadline is Sept. 13, 10 AM.
You may use your class notes, homework and calculator.
No other ref
Student name:
MATH 320: Dierential Equations: Quiz 4 (9/189/20/2013)
*
*
*
*
This quiz must be taken in the Science Library.
The timelimit is 30 minutes, and deadline is Sept. 20, 10 AM.
You may use your class notes, homework and calculator.
No other ref
Student name:
MATH 320: Dierential Equations: Quiz 2 (9/49/6/2013)
* This quiz must be taken in the Science Library.
* The timelimit is 30 minutes, and deadline is Sept. 6, 10 AM.
* You may use your class notes, homework and calculator.
(I) Which of the
Student name:
Earlham College
Test 2
March 20, 2012
MATH 180: Calculus A
Spring 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
Solve all problems using algebra, except if specically indicated otherwise.
Show all solution
Student name:
Earlham College
MATH 180: Calculus A
Spring 2012
Test 1
February 7, 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
Solve all problems using algebra, except if specically indicated otherwise.
Show all soluti
Student name:
Earlham College
MATH 180: Calculus A
Spring 2012
Test 3
April 24, 2012
Instructions:
Answer all questions on separate paper (not on this sheet!).
Solve all problems using algebra, except if specically indicated otherwise.
Show all solution
Makeup Quiz 10  4/17/2012
(I) Construct a Riemann sum to approximate the area under the graph of f (x) = sin(x) + x
on the interval x = /2 to 5/2, using n rectangles with right endpoints. Final
result must be in summation notation, with all quantities c
Quiz 9  4/03/2012
(I) Find all the critical points of the function f (x) = x2 ex .
No credit for correct answers only for correct steps & reason.
(II) Sketch the graph of a continuous function that has a local minimum, but no
absolute minimums or maximum
Quiz 10  4/10/2012
(I) Find lim
+
x ln x. Show all steps.
x0
(II) Show that of all the rectangles with a given perimeter, the one wih the greatest
area is a square.
[This is part of Turnin homework: Sec. 4.6, exercise 13.]
Solution
(I) To nd lim x ln x,
Quiz 8  3/27/2012
(I) Find the derivative of y = x sin x with respect to x and simplify.
(II) The graph shows the position s of
a particle as a function of time t.
Find the intervals where it is speeding up, and where it is slowing
down. Give reasons.
s(
Quiz 7  3/06/2012
(I) Let f (x) = x 2 sin x, 0 < x 2. Find the values of x at which the tangent to
f (x) is horizontal. Show steps and reasoning.
(II) If h(x) =
f (x), nd h (2) if you are given f (2) = 4 and f (2) = 2.
Hint: This is a simpler version of
Quiz 2  1/24/2012
2ex
.
Show steps.
1 2ex
(II) Suppose the function f (t) denotes the percent of poor people in the U.S. at time t
in years. Sketch a clearlylabeled graph of f (t) between the years 19602012, and discuss whether it is onetoone (i.e.,
Quiz 5  2/21/2012
(I) Shown here is the graph of f (x), the derivative of some function f (x). Based on
this graph, answer the following questions (assume the graph continues to innity on
both ends in the direction shown):
2
1. On what interval(s) is f (
Quiz 4  2/14/2012
(I) The graph of some function y = f (x) is shown below. Sketch the graph of f (x).
You may do this directly on the graph below. Include a short discussion to explain
and justify why your graph of f (x) is the right solution.
6
4
2
3

Quiz 3  1/31/2012
(I) The graphs of f and g are given below. Use them to evaluate each of the following
limits (give a mathematical justication for your answers):
(a) lim [f (x) g(x)]
(b) lim [f (x) g(x)]
x0
(II) Find lim
x 3
1
6
2
x3 x 9
x1
using algeb
Quiz 1  1/17/2012
(I) Sketch a graph of the function
2
if x < 2
x 2,
x + 4,
if x 2
f (x) =
2x + 4, if x > 2
Graph must be neat, approximately to scale, include detailed labels, and indicate
open/closed intervals wherever needed.
(II) Use the laws of
Calculus: Mock final exam
Important Note: This mock test is not intended to be a template that your final exam will follow. The
purpose of this mock test is very simple: To give you the opportunity to practice with examquality
questions that cover the sa
Student name:
Earlham College
MATH 310: Linear Algebra: Test 2: Fall 2013
Test must be taken between Nov. 46 (by noon).
The entire test must be completed in one session and it must be taken in the
Science Library. Complete and return test to the circulat
Student name:
Earlham College
MATH 310: Linear Algebra: Test 1: Fall 2013
Test must be taken between Sep. 30Oct. 2 (by noon).
The entire test must be completed in one session and it must be taken in the
Science Library. Complete and return test to the ci
Student name:
MATH 310: Linear Algebra: Quiz 8 (11/1811/20/2013)
*
*
*
*
This quiz must be taken in the Science Library.
The timelimit is 30 minutes, and deadline is Nov. 20, noon.
You may use your class notes, homework and calculator.
No other referenc
Student name:
MATH 310: Linear Algebra: Quiz 7 (10/2810/30/2013)
*
*
*
*
This quiz must be taken in the Science Library.
The timelimit is 30 minutes, and deadline is Oct. 30, noon.
You may use your class notes, homework and calculator.
No other referenc