Supplemental homework 1
Math 112L.04
Due Friday, January 17, 2014. Show your work clearly. Write your answers on a separate piece of paper.
1. Suppose we have a weighted coin that comes up heads with probability h, where h is a number between 0
and 1. Let
Duke University
Math 112L: Laboratory Calculus II
Instructor: Hangjie Ji
February 4, 2014
Section 5
Test 1
Read all of the following information before starting the exam:
1. Do not open this test booklet until you are directed to do so.
2. Make sure to tu
Duke University
Math 112L: Laboratory Calculus II
February 4, 2014
Section 8
Test 1
1. Do not open this test booklet until you are directed to do so.
2. You will have 105 minutes to complete the exam. If you nish early go back and check your
work.
3. This
Math 112L Section 08
March 18, 2014
Midterm Exam 2
Do not open this test booklet until you are directed to do so.
You will have 105 minutes to complete the exam. If you nish early, go back and check
your work.
This exam is closed book. Calculators are
Math 112L.03
TEST #3
Spring 2014
Do not open this test book until you are directed to do so.
You will have 50 minutes to complete the test. If you nish early, go back and check
your work.
The only resources you are allowed are a graphing calculator (TI
Duke University
Math 112L Laboratory Calculus II
Instructor: Hangjie Ji
April 22, 2014
Section 5
Test 3
Read all of the following information before starting the exam:
1. Do not open this test booklet until you are directed to do so.
2. Make sure to turn
Math 112L.03
TEST #2
Spring 2014
Do not open this test book until you are directed to do so.
You will have 105 minutes to complete the test. If you nish early, go back and check
your work.
The only resources you are allowed are a graphing calculator (T
EXAM I
Math 112L Section 7
Feb 4th, 2014
By writing my name and signing below I swear I have adhered to the Duke Community Standard in completing
this assignment.
Name:
Signature:
Read all of the following information before starting the exam:
Do not ope
Duke University
Math 112L Laboratory Calculus II
Instructor: Hangjie Ji
March 18, 2014
Section 5
Test 2
Read all of the following information before starting the exam:
1. Do not open this test booklet until you are directed to do so.
2. Make sure to turn
EXAM II
Math 112L Section 7
March 18, 2014
By writing my name and signing below I swear I have adhered to the Duke Community Standard in completing
this assignment.
Name:
Signature:
Read all of the following information before starting the exam:
Do not o
Math 112L.03
TEST #1
Spring 2014
Do not open this test book until you are directed to do so.
You will have 105 minutes to complete the test. If you nish early, go back and check
your work.
The only resources you are allowed are a graphing calculator (T
Supplemental homework 3
Math 112L.04
Due Wednesday, March 5, 2014.
Show your work clearly. Write your answers on a separate piece of paper.
1. Consider the following function (a is a positive constant):
a(1 + x),
1
p(x) = a ,
2 x
0,
1 x 0
0<x1
otherwise
(
Supplemental homework 3
Math 112L.04
Due Wednesday, March 5, 2014.
Turn in only the problems on this page. Show your work clearly. Write your answers on a separate piece of paper.
1. Consider the following function (a is a positive constant):
a(1 + x),
1
Supplemental homework 2
Math 112L.04
Due Friday, Jan. 31, 2014.
Turn in only problems 1, 2, and 3.
Show your work clearly. Write your answers on a separate piece of paper.
1
1
2 k+2 2 k+4 . Find a concise expression for the N th partial sum, SN , for this
Supplemental homework 4
Math 112L.04
Due Friday, March 28, 2014.
Show your work clearly. Write your answers on a separate piece of paper.
1. In this problem we will use what we now know about Taylor series to revisit a problem from Test 1. The
problem was
Calculus I Review
1. Fundamental stu:
(a) Write the denition of derivative of f (x) at x = a.
(b) Write the denition of the denite integral
b
a f (t)dt.
(c) Write the rst fundamental theorem of calculus.
2. (a) Draw the graphs of y = ex and y = ln x on th
Duke University
Math 112L
April 2014
Oscillations
These problems were taken from the 5th Edition of Calculus by Deborah Hughes-Hallet, et al.
1. Check using dierentiation that y = A cos(t) + B sin(t) is a solution to y + y = 0 for any
constants A and B.
2
Duke University
Math 112L
1. (a) Compute Simp(2) for
February 2013
Simpsons Rule Practice Problems
4 2
(x
0
+ 1) dx.
(b) Use the Fundamental Theorem of Calculus to nd
4 2
(x
0
+ 1) dx exactly.
(c) What is the error in Simp(2) for this integral?
2. (a) Wha
EXAM III
Math 112L Section 7
April 22, 2014
By writing my name and signing below I swear I have adhered to the Duke Community Standard in completing
this assignment.
Name:
Signature:
Read all of the following information before starting the exam:
Do not