Homework 2; due Friday, January 23rd
1. Exercises 1 4, 9, 10, 27, section 4.8 from the book.
2. Calculate the following limits, or prove that they dont exist in R cfw_.
sin x
x2 + 1
1
1
ii) lim
2
x0 x
x
v) lim
i) lim
x
x0
vi) lim
1
sin x
x0
sin x
x2
cos
Midterm I
Laurence Field Math 152, Section 32 January 31, 2013
Instructions: This midterm has 10 questions for a total of 100 points. The value of each part of each
question is stated. Please show your working. You have 50 minutes.
x 1=5
, showing all loc
Midterm II
Laurence Field Math 152, Section 32 February 21, 2013
Instructions: This midterm has 8 questions for a total of 100 points. The value of each
question is stated. Please show your working. No books, notes or calculators are allowed.
You have 50
Final Exam
Laurence Field Math 152, Section 32 March 21, 2013
Instructions: This exam has 10 questions, each worth 10 points, for a total of 100 points. The value
of each part of each question is stated. Please show your working. You have two hours.
1. Ev
Homework 1; due Friday, January 16th
1. Exercises 1, 7 10, 27, 28, 41 44, section 4.6 from the book.
2. Exercises 6 10, 21, 22, 37, 38, section 4.7 from the book.
3. Exercises 1 4, 9, 10, 27, section 4.8 from the book.
4. For this exercise, recall the def
Homework 3; due Friday, January 30th
1. Exercises 19, 25 29, section 5.3 from the book.
2. Using the identity b4 a4 = (b a)(b3 + b2 a + ba2 + a3 ), prove that
Z
b
x3 dx =
a
b4 a4
.
4
Z
3. Let f : [a, b] R be a continuous function, with f (x) > 0 for all x
Final Exam Solutions
Laurence Field
Math 152, Section 31
March 12, 2012
Name: Solutions
Instructions: This exam has 8 questions for a total of 120 points.
The value of each part of each question is stated.
The time allowed is two hours.
Partial credit may
Final Exam
Laurence Field
Math 152, Section 31
March 12, 2012
Name:
Instructions: This exam has 8 questions for a total of 120 points.
The value of each part of each question is stated.
The time allowed is two hours.
Partial credit may be given for incorr
Midterm I
Laurence Field
Math 152, Section 31
January 27, 2012
Name:
Instructions: This midterm has 6 questions for a total of 60 points. The value of each part of each
question is stated. Please show your working.
Question
Points
1
7
2
13
3
10
4
12
5
12
Midterm II
Laurence Field
Math 152, Section 31
February 24, 2012
Name:
Instructions: This midterm has 6 questions for a total of 60 points.
The value of each part of each question is stated.
No books, notes or calculators are allowed.
Please show your wor
Midterm II
Laurence Field
Math 152, Section 31
February 24, 2012
Awswm
Instructions: This midterm has 6 questions for a. total of 60 points.
The value of each part of each question is stated.
No books, notes or calculators are allowed.
Please show you
Midterm II Practice
Laurence Field
Math 152, Section 31
February 17, 2012
NOTE. Questions 1(a) and 2(a) in this test are too hard (as a result of poor proofreading) and are
not representative of what you should expect on the test. Question 6 had an error
Midterm II Practice Solutions
Laurence Field
Math 152, Section 31
February 19, 2012
1. Find the following indenite integrals.
1
dx
(a) (5 points)
x 4x
Solution. Many apologies for this question. I didnt check it at the time I wrote it, and
this integral