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MAT 445
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Homework assignments
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Due dates
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Protected area
(password required)
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Groups for Reports
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5/9 Final exam scores and course grades are posted. The
final exam score is really out of 115 points, but it was treated as if
it was out of 80 points. The high score was 101 (that is a raw score).
For course grades we computed the average as described in the syllabus.
Lines for each grade cutoff were a little lower than the ones described
on the syllabus.
Have a nice summer.
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4/27 We will switch to a special office hour schedule
for reading day/finals. From now until the final, office hours are
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Monday 4/28 2:00-3:00 (regular time)
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Tuesday 4/29 1:00-2:00 (regular time)
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4/30-5/6, each weekday from 12:00-1:00.
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4/23 Class on both Friday and Monday will be devoted to
answering questions related to the final exam.
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4/23 The chapter summaries are now posted for all chapters.
The homework odd answers for chapter 10 are now posted as well.
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4/23 Scores for test 2 are posted. These are raw scores out
of 100 points. In computing the final grade, this test will be treated as
if it were out of 90 points.
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4/23 Solutions for test 2 (pdf).
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4/20 With test 2, we have someone who will be taking it late.
So, you should not discuss the test with other people until Wednesday.
Grades for the test and solutions will be posted once everyone has taken
the exam.
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4/20 The final exam will cover Chapters 1-11.
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4/15 Because of the exam on Thursday and Friday, Thursday's
office hour is rescheduled to Wed., 4/16, 2:40-3:30.
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4/11 Room change for the final exam: it will be held in ECA 219.
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4/3 The chapter 9 summary is now posted.
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4/2 Interesting reading, especially if you are considering
being a math teacher in the future: Lockhart's Lament with
introduction.
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3/28 The grade checking page now tries to average your scores,
and predict what you need to average on remaining scores to get an A, B, etc. In reading these grades/numbers, please bear in mind:
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the grade descriptions do not include plus or minuses. So, if
it says you are currently getting a B, that means "a grade in the B range",
so B-, B, or B+.
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the averages/grades have no official status.
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these computations are being done by a dumb computer program.
They are intended
to be helpful, but you should do your own computation for confirmation.
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since some future scores may be dropped, there is no definitive
number for averages on remaining work. These numbers should be regarded
as estimates.
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3/28 Test 2 is still a few weeks away, but it will cover
Chapters 5-9. Types of questions are the same as for test 1.
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3/24 This week, Tuesday's office hour, which is normally from
1:00-2:00 will end at 1:30 due to a faculty meeting.
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3/22 On homework 7, there is a word missing on number 1.
It should read: "Find the smallest positive even integer m such
that ...".
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3/11 New partner pairings are
posted in the protected area.
Everyone has a new partner, and there is one group of three because we
have an odd number of students. I tried to match students of comparable
ability.
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3/10 There were a total of 105 points possible on Test 1, but
the scores will be counted as out of 100. So, it is as if there were 5
points of extra credit.
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3/8 Solutions for test 1 (pdf).
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3/5 For test 1, we have someone taking the test late for a
oocumented excuse. So, you should not discuss the test with other people
until after spring break. Grades for the test and solutions will be posted
during spring break.
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2/29 There will be no office hours during the test itself, so
Monday or Tuesday. The reason is that some people may have to take
the test early in
the two day window because of their schedules, it isn't fair if other
students have more opportunities to come ask questions.
If you want to ask questions about material in Chapter 5 or later during
those two days, just e-mail me and we can set up an appointment.
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2/25 Problem #10 on homework 4 often generates questions, so
here is a solution for that problem (pdf).
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2/21 Two office hours next week are changed. The time for Tuesday,
2/26, will be 12-1 (instead of the usual 1-2) because of a faculty meeting.
The time for Thursday, 2/28, will be moved to Friday 2/29, 1:30-2:30 because of
a doctors appointment.
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2/17 Test 1 will cover chapters 1-4.
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2/11 Test 1 is coming up in a three weeks. Almost all test
questions are of the following types.
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Stating theorems or definitions (e.g., "State the Division Algorithm")
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Proving theorems from the course (e.g., "Prove that if a and b are positive integers, then the set of positive divisors of gcd(a,b) is equal to the intersection of
the set of positive divisors of a and the set of positive divisors of b.")
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Computations. You are allowed to use a calculator provided that it does
not do symbolic algebra, and need to show intermediate steps. Basic finite
precision arithmetic (e.g, getting a single quotient and remainder) does not need to have work shown. Anything more complicated does need to have work shown.
A partial list of things you should know how to compute: gcd's from factorizations, gcd's by the Euclidean Algorithm, values for the GCD Trick by reversing the Euclidean Algorithm, finding one solution to a linear diophantine equation, finding all such integer solutions.
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Problem solving questions: these are basically calculations, but where
we may not have a specific algorithm and you need to think about how to apply the tools at hand. For example, finding the smallest positive integer n such that d(n)=6.
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Proofs of statements you have not encountered before. This is similar to proving statements you encounter on homework problems.
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2/6 Homework papers are out of 25 points. Each week, selected
problems will be graded. On homework 1, it was #1, 6, 7.
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2/5 After homework is turned in, we will be posting answers
to the odd numbered problems. Links to these are on the homework page,
but the pdf's themselves are in the Protected area so you may be prompted
for the username/password.
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2/4 Prelab 4 is due on Friday. Be alert that this one is longer
and the questions will take more time than for other prelabs. In at least
one place, you may want to use the Division Algorithm in your proof.
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1/30 Note, lab reports are graded out of a possible 25 points.
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1/23 Some advice on writing reports:
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A report is supposed to be like a mathematical paper. While it
should have formally stated theorems and proofs of those theorems, it
also should have a narrative which connects the theorems, provides a
brief introduction, and a brief conclusion.
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While working on a report, deciding if something is right or not
should be done by members of the group. The teacher doesn't decide if
answers are right/wrong until they are turned in.
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Answers for any exercises which appeared in the lab should be
included in the lab report. These can be fit into the report itself, or
included at the end.
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For the chapter 1 report, include a statement (and even better
would be a statement and proof) for the exercise
which appeared in "Chapter 0: Introduction to active web pages". Be
careful; the java applet for that exercise produces incorrect equations
(they are almost right, but they all have a typo).
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For the chapter 1 report, you may want to state and prove a lemma
relating divisibility to prime power factorizations, something like
"if n=p_1^a_1... , then d|n if and only if ...".
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1/21 The office hour on Monday, 1/28, is cancelled
due to a doctor's appointment. The office hour on Tuesday, 1/29, is rescheduled
to be 12:00-1:00 because I will be teaching another faculty member's class
while he is away.
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1/12 The syllabus below has been updated.
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1/12 Office hours this semester will be
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Monday 2-3
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Tuesday 1-2
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Thursday 10-11
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and by appointment
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1/10 Test dates are
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Test 1: March 3-4
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Test 2: April 17-18
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Course syllabus (pdf)
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ASU/Math department policy
on rescheduling final exams.
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ASU policy on missed classes.
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