05/08/10: I have posted answers to the nonmultiple-choice problems
from Sample Final from Spring 2005. See the main class web page.
05/08/10: I have posted answers to the nonmultiple-choice problems
from Sample Final from Spring 2005. See the main class web page.
05/03/10: I have added office hours for the Finals week: Monday
2:30-3:30, Tuesday and Wednesday 4:00-5:00.
04/30/10: The Final Exam is coming: Wednesday, May 12, 6-9
p.m., VinH 20 (regular classroom). Coverage: Sections 1.1-1.5, 2.1,
2.3-2.5, 3.1-3.2, 3.4-3.7, 4.1-4.3, 5.1-5.5 (through p. 347), 5.6,
6.1-2, 7.1-4 (through p. 439), and 10.1-3. How to get ready: the more
problems you solve, the better you will be prepared. Solve problems
from the homeworks again (if you feel you do not remember how to do
them) and similar problems from the text (for example, if problem 11
was on the homework, problems 10 or 12 will likely be similar). Attend
our problem review sessions during the last week of classes and test
yourself on
Sample
Finals. About half of the problems on the Final will be
multiple-choice. You will not be given partial credit for those
problems, but you will be given full credit just for correct
answers. However, I strongly advise you to work those problems out as
if they were not multiple-choice. This is the only reliable way to
make sure you have chosen a correct answer.
04/30/10: I have added a link to four sample final exams and tutoring
services information on the main class web page. Below are access
instructions to get the exams:
04/30/10: Question: Will I give you the Laplace transform table on the
Final exam? Answer: I will give the necessary formulas from the table
for the Laplace transform on the test.
04/25/10: Folks, I am sorry, but I have made an error in Problem 2 on
the Sample Midterm III: the bottom right entry of the marix A must be
-4, rather than 4. The problem is still solvable with the error, but
produces complex numbers, which are not nice (complex, to start
wiwth). I have corrected the error. Make sure the date on the copy of
the sample test is April 25. You may need to empty your broweser's
cache to get the latest copy.
04/19/10:
The homework
assignment schedule contained an error, indeed. There will be no
class meeting on May 7. I have corrected that and added the office
hours there.
04/19/10:
The sample
midterm is now a click away.
04/07/10: The third midterm is coming: Wednesday, April 28,
during the first class period. Coverage: Sections 5.5 (through p. 347)
and 5.6, 6.1-2, 7.1-4 (through p. 439), and 10.1-3. How to get ready:
the more problems you solve, the better you will be prepared. Solve
problems from the homeworks again (if you feel you do not remember how
to do them) and similar problems from the text (for example, if
problem 11 was on the homework, problems 10 or 12 will likely be
similar). Test yourself on
Sample
Exam III.
03/29/10: Here is some statistics for Midterm II: mean = 31.71, median
= 32, maximum = 40, out of 40 points.
03/23/10: Quite a few students are confused about which formulas to
memorize from Section 5.4. You do not need to memorize all those
formulas related to p2 - omega2 or c2
> 4 km, or specifically e-rt (c1 +
c2 t), which you must know from the general theory of
Section 5.3, for example. All you need to know is how to write down a
differential equation (and initial conditions, if needed) for a
spring-mass system, solve it, and be able to interpret mathematical
answers, that is to say, know the terminology, such as free
harmonic motion, oscillatory motion, underdamped motion, undamped
motion, critical damping, amplitude, period, etc. You can solve
all relevant problems from sctratch, and that is the best way to
approach this topic. If you click on
the solution
of homework problem 5.4.15, you will see what I mean.
03/22/10: Graphing is not required for problems on the homework for
Section 5.4.
03/08/10: The second midterm is coming: Wednesday, March 24,
during the first class period. Coverage: Sections 3.1-3.2, 3.4-3.7,
4.1-4.3, and 5.1-5.4. How to get ready: the more problems you solve,
the better you will be prepared. Solve problems from the homeworks
again (if you feel you do not remember how to do them) and similar
problems from the text (for example, if problem 11 was on the
homework, problems 10 or 12 will likely be similar). Test yourself on
the Sample
Exam II.
02/15/10: Here is some statistics for Midterm I: mean = 29.04, median
= 29.5, maximum = 40, out of 40 points.
02/03/10: The first midterm is coming: Wednesday, February 10,
during the first class period. Coverage: Sections 1.1-1.5, 2.1,
2.3-2.5. How to get ready: the more problems you solve, the better you
will be prepared. Solve problems from the homeworks again (if you feel
you do not remember how to do them) and similar problems from the text
(for example, if problem 11 was on the homework, problems 10 or 12
will likely be similar). Test yourself on the
Sample
Exam I.
01/27/10: I will not be around to teach the class on Monday next week,
February 1. I have asked Professor Chung to substitute for me in class
then. He will be collecting homework as usual at the beginning of each
class. The homework has been assigned online for the whole semester in
advance.
01/21/10: I recommend the following way to study after each
class. First, study your class notes. Next, study the corresponding
section of the text. See
the
Class Outlines to find out which section. Then do
the
homework.
0
01/21/10: If you need to register for this class, please, send a
message to Ms. Lawson at ugrad@math.umn.edu and ask for a permission
number. Then go to OneStop and register.
01/21/10:
Homework will be collected before each class, starting Monday,
January 25, and a small selection of problems will be
graded. ("Small," because the grader will allocate only 6 hours per
week for our class.)