Homework Assignments for MAP2302
Spring 2012, Prof. Boyland
Unless otherwise stated, do the odd numbered problems
in the given range, and so 3-11 means 3, 5, 7, 9, 11.
The problems are given from the 6th edition of the text. I
would think, but have not checked, that the 7th and 8th edition
will be easy to convert using the section numbers.
If there are no problems assigned from a particular
section it means that you are not responsible for that
section and so it won't be on any quizzes or exams.
Chapter 1
Chapter 2
- Section 2.2: 1-25
- Section 2.3: 1-21
- Section 2.4: 1-25
- Section 2.5: 1-13
- Section 2.6: 1-27. Problems
29 and 31 were removed on January 25 and you are not responsible
for the "Linear Coefficient" method
Chapter 3 and Section 1.4 - You may use a calculator on these problems, but the
problems on the exam of this type will be solvable without one
and you won't be able to use a calculator on the exam. The
solutions to even number problems are in the parenthesis.
- Section 3.3: 1, 2 (57.5 degrees F), 3, 4 (19.7 min)
- Section 3.4: 1, 2 (13.75 sec), 5, 6 (22.9 sec)
- Chapter 1, Section 1.4: 1, 3, 5.
The first in-class exam
takes place on Friday,
February 17, in the usual classroom. It covers all
the homeworks above. The exam is closed book, no notes and no
calculators.
This
sample
exam (pdf file) (its solutions
here)
will give you a good idea of the exam format and
difficulty, but the actual exam could cover different material and
could be a bit harder or easier,
longer or shorter, etc. I suggest you sit by yourself with no notes
and take the exam in a simulated testing situation to see where
you stand and what you need to review.
Here are a few more sample problems of the type you might
see on the exam.
- Chapter 2, Review problems: 1, 3, 4, 6,9, 13, 15, 19, 32, 39 5
- Section 3.3: problem number 5
- Section 3.4: See the last problem on the
sample exam.
Answers to even numbered problems:
- (4) y = x^3/6 -4x^2/5 + 3x/4 - C x^(-3)
- (6) y^(-2) = 2 ln|1-x^2| + C
- (32) y^2 = x^2 ln(x^2) + 16 x^2
Solutions to Exam 1A are
here
Chapter 4
- Section 4.2: 1-19
- Section 4.3: 1-27
- Section 4.4: 9-31
- Section 4.5: 17-35
- Section 4.6: 1-17
- Section 4.7: 9-19
- Section 4.8: skip section
- Section 4.9: 1-11
The second in-class exam
takes place on Friday,
March 23 in the usual classroom. It covers all
the homeworks above since the last exam, specifically, sections 4.2-4.7 and
4.9. It does not include section 4.10.
The exam is closed book, no notes and no
calculators.
Here are a few sample problems of the type you might
see on the exam, but the actual exam could cover somewhat
different material and could be a bit harder or easier,
longer or shorter, etc..
- Chapter 4, Review problems: 1, 3, 9, 11, 13, 21, 23,
25, 29, 31. 35, 38
- Section 4.9: problem numbers 8 and 10.
Answers to even numbered problems:
- Chapter 4 review, number 38:
The equation of motion is
y(t) = (-1/4) cos(5t) + (1/5) sin(5t),
the amplitude is sqrt(41/400), the period is 2*pi/5, and
the first time back through equilibrium is
(1/5) arctan(5/4).
- Section 4.9, number 8: It never returns to equilibrium as
the solution is always positive.
- Section 4.9, number 10: time of max displacement is (2 pi/sqrt(127)) and
the max displacement is exp(-pi/sqrt(127))
Solutions to Exam 2A are
here
- Section 4.10: no homework
Chapter 7
- Section 7.2: 13-19
- Section 7.3: 1-19
- Section 7.4: 1-29
- Section 7.5: 1-23
- Section 7.6: 11-17, 29-39
- Section 7.8: 13 - 17, 21-27
Note: problems 21 and 23 from section 7.6,
all of section 7.7, and problem 19 from section 7.8
were removed on April 10 at 10PM
The third in-class exam
takes place on Friday,
April 20 in the usual classroom. It covers all
the homeworks above since the last exam, specifically, sections 7.2-7.6 and
7.8. It does not include section 7.7.
The exam is closed book, no notes and no
calculators.
Here are a few sample problems of the type you might
see on the exam, but the actual exam could cover somewhat
different material and could be a bit harder or easier,
longer or shorter, etc..
- Section 7.5: 4, 6. 10.
- Section 7.6: 18, 30, 32.
- Section 7.8: 14, 22, 24.
Solutions to these sample problems are
here
Solutions to Exam 3A are
here
Last assignment:
- Section 8.3: 11-19, 25, 27.
There will be a quiz on this homework the last
day of classes, Wednesday, April 25. We are now dropping
the three lowest quiz grades before computing the final grade.
The final exam will cover the
entire course (except Section 8.3) and will take place on
Friday, May 4 from 12:30-2:30
in the regular classroom.
You must attend the exam at this time, there will be no other
final exam offered, so plan on it!
No calculators, notes or books are allowed during exams.
As a review for the Final Exam use the three reviews already
given above for each of the three in-class exam. The material
on the Final Exam will be close to equally distributed
between the materials on each of the three in-class exams
|