final exam & essay 2 scores

fair game chapters from the book

Basically, everything we covered. This includes Chapters 1-5, 6.1, 7.1, and Theorems 7.2.1,& 7.2.5.

Office Hours Today and Review

1) I will be in my office today 11:00am-1:00pm today to answer questions
2)  Hello professor Taylor,   A few students from math 300  will meet tomorrow (today!) in Hayden library at 3pm. If you could notify the class that it's open to anyone that wants to come and study to prepare for your final.  Thank you.

cumulative score to this date

Homework this week

Sections 5.1, 5.2

makeup exam in the testing center

The makeup exam will take place in the testing center Wednesday Dec 4 and Thursday Dec 5.  This is a very busy time in the testing center.  You will need to be in and out before 3pm.

Another writing assignment question

.....I cannot seem to get the proof of if m and k are not co-prime numbers. If you could explain to me how to start or give me any insight it would be appreciated!

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Well, you should carefully read the Theorem Statement section in wikipedia article on the Chinese Remainder Theorem, particularly the part following the fact that simultaneous congruences can be solved even when the divisors are not pairwise coprime.  Then I would reflect on what the existence and/or nonexistence of solutions to the simultaneous congruences says about the elements in the partition Pm.Pk

Writing Assignment Question

Hello Professor Taylor,

I am writing to get a bit of clarity of what we are proving in this paper. From the blog instructions, I gather that we are trying to prove that:

"Given two integers x and y, we say that the partition P separates x and y, if [x]≠[y]."

and then from 2)

given a)

we are to prove b), c), and d)   

Again, I am just writing to see if I am understanding this correctly or if I am off base here. Thank you for your time and have a good afternoon.

####################################################################

Well, no.  Everything you are to prove is in item 2), and the four parts are somewhat independent. The statement

"Given two integers x and y, we say that the partition P separates x and y, if [x]≠[y]."

is the definition of what it means for a partition to separate two elements x,y. 

By the way, note that I made an additional comment inline to item  2a) on the writing assignment announcement below.

question and answer

Hello

Im having trouble with problem #17 in section 4.4, the book gives a hint so i thought in the back so I thought to prove that R is reflexive, antisymmetric and transitive on A. Is there an another route that might not take as long or Im I going about it ok??

Thank you
##########

************************************************

17.  If a subset of a partially ordered set has exactly one minimal element, must that element be a smallest element?  Give either a proof or a counter example to justify your answer.

************************************************

As you say, the back of the book gives a relation, a subset and a point in that subset that they claim is acounter example. The trick is to show that the relation is a partial order, and that the point and subset  have the needed properties. 

Online LaTeX editor

Hey, this link is a useful equation editor for creating image files of mathematical text

The next writing assignment

1) The Topic
Pick a natural number m>0. As discussed in class, every natural number n can be uniquely expanded as n=b*m+r,  where b is an integer and . Consider the relation    with domain , range [0,m-1] and elements (n,r) where r is the remainder of n mod m. Notice that is an equivalence relation, for which each of the equivalence classes consists of numbers congruent to each other mod m,i.e. for  consists of all numbers with remainder r when divided by m.   These equivalence classes form a partition  into m pieces; call this partition  (the upside down capital pi means disjoint union).  Notice that that problems 17 and 18 in section 4.6 of the textbook, discuss a way of getting a new partition from two old ones P,Q : the new partition has sets that are non-null intersections of the pieces of the old one.  Given two integers x and y, we say that the partition P separates x and y, if [x]≠[y].  For example x and y are separated mod 2 if one is even and the other odd, but not separated if they are both even or both odd.

2) To prove:
   a)    (Note: your classmate Chelsey Anderson points out that this problem can be solved using the Chinese Remainder theorem)
   b)  If separates x and y then so does for every integer k>0, and in particular so does .
   c)  If , then x,y are separated in every  with
   d) if  then x,y are separated in  for the least m such that

3) The first draft is due to me by email in PDF format on Sunday Dec1, by 5pm.  They should *NOT* have your name, but instead your posting id, instructions to find your posting id are below in this blog.   I will redistribute the papers on Sunday night; your edits will be due by Tuesday Dec 3,  at 5pm by email to me in PDF format.  You may print your editing paper, edit by pen, then photograph and save as pdf to email it to me.

4) you should research your paper, on the web, in the journals, and by asking anyone you can pin down.  Be sure to cite all sources, both formal and informal.  Use inline citations. Your references should list title, date and journal for published articles, should use title, author if available, url and date accessed for online articles, and should list the name and date of any personal communications.

Next Week Nov 25-29

1) Your second midterm will take place on Tuesday Nov 26 in class.
2) No homework is due, however the material covered this week will be due on Thursday December 5.

Homework this week

Section 4.4 due Thursday Nov 20.

Office hours cancelled

Office hours are cancelled today Nov 13 and Friday Nov 15.  I have some medical issues to deal with and these were the times I could get.  I'll be available Thursday afternoon, if you need to speak to me.

Homework next week

Sections 4.3 and 4.4, due Thursday 11/14

On peer editing of the essays

1) Some people seem to think that it's impolite to express an opinion about what is wrong or what is unclear with their partner's essay.  Just the opposite is true, you are helping them to think and to express themselves more clearly.  It's also hard work for you, and requires thought and effort to understand what your partner was trying to say but didn't, and what s/he should have said but didn't.

2) In the future, I think it would be better if I run the peer editing in an anonymous way--collect the drafts myself, replace the name with a number and distribute it myself.  Look for it.

Office Hours and Class on Tuesday

I'm scheduled to be a workshop all day Tuesday.  Therefore:
       a) Class will be taught by a substitute teacher.
       b) My office hours on Tuesday are cancelled.  Instead I'll have office hours 11am-Noon today.

Homework for next week, 11/4/2013-11/8/2013

Section 4.6, due as usual on Thursday

The makeup exam tomorrow

In the testing center 10:30AM-6:30PM (i.e. you need to be out by 6:30pm).  Be sure to bring your ID card.

Velleman's Proof Designer

Daniel Velleman, the author of our textbook has a Java Applet of a proof designer. Take a look at the docs here.

Homework due Thursday 10/31/2013

Homework is sections 4.1 & 4.2.

The exam....

Good Afternoon Mr. Taylor, I was wondering if we will be having a test review tomorrow or sometime before the exam.

The review was last Thursday. I was surprised that there were so few questions.  

I've also heard from different people that our exam is either tomorrow or next Tuesday, I'm assuming it is tomorrow so I will study tonight but if you could just clarify that I'd appreciate it.

Yep, as stated in the syllabus, discussed in class and right on schedule. 

Sorry for asking these questions so late!

homework this week 10/7/-10/11/2013

Homework this week is

1) edit your edit-partner's essay.
2) submit a revised essay on thursday: include your a)  original essay that I returned to you last Thursday,  b) the editing done by your partner, and c) your final edit.
3) submit book problems from sections 3.4&3.5 on Thursday

What not to do:
Comprehensive guidelines on academic integrity can be found here.

correspondence with the grader

Yeah, sometimes students want to hope that we'll be responsible for organizing their lives. I tell them not to do that, and also to keep a copy of their homework; they should be able to recover from an inadvertent submission. Don't grade what isn't due and do assign grades on what is given to you at the appointed time. @#$%^&*()(*&^%$#@#$%^&*((*&^%$#@#$%^&*(*&^%$#$%^&*((*&^%$#$%^&*((*&$#$%^&*()(*&^%$ Hi Tom Your student ******* submitted Section **** a week early. I wrote this on his/her homework paper and returned it ungraded along with the graded assignments. This week I notice that he/she only turned in section 3.3. How should I handle situations like this? I'd rather not be responsible for holding onto assignments that students submit early, but if getting the homework back and resubmitting it in the same class period is going to cause an issue for the students, I'd like to come up with some solution that wont result in an immediate 5/10 homework grade. Thank you, *******

grades

Posting ID	Off Hour	HW1	HW2	HW3	HW4	HW5	Essay1	Total (85pts)
0096-342	10	7.5	7.5	8	3.5	5	14	55.5
0566-500		0	7.5	7	0	0	7	21.5
0630-109	10	4	5	4	2.5	0	15	40.5
0712-348	10	6.5	7.5	5.5	9.5	8.5	17	64.5
0746-044	10	9	6	6	8.5	0	15	54.5
0916-391	10	9	5.5	7.5	5.5	4	20	61.5
0948-946	10	5.5	4.5	0	0	0		20
1493-573		9	6.5	10	5.5	9.5	15	55.5
1572-978	10	6.5	3	9	1.5	2.5	10	42.5
1771-857	10	8	7	9.5	5	6.5	20	66
1775-484	10	5	6	7	2	0	20	50
1879-259	10	7	8.5	9	5.5	4	15	59
1939-200		0	0	0	0	0		0
2729-431	10	8	8	7	7	3.5	15	58.5
2997-500	10	0	0	0	0	0		10
3431-791		10	8	10	9	10	25	72
4382-987	10	8	2.5	7.5	3	7	13	51
4434-533		6	4	9	0	4.5		23.5
4519-567	10	8	5	9	1.5	5	16	54.5
4529-168		7.5	7.5	0	7.5	10	15	47.5
4635-642	10	7	10	7.5	4.5	7.5	15	61.5
5170-513	10	0	9	9	6	9.5	18	61.5
5235-759	10	0	1	9	0	0	17	37
5440-368	10	0	0	0	0	0		10
5572-517	10	9	9	10	10	10	17	75
5684-260	10	8	0	0	0	0	15	33
6046-953	10	5.5	9	10	0	5	10	49.5
6207-517	10	8	8	10	9.5	9	25	79.5
6219-702		0	0	3.5	0	0		3.5
6240-251	10	8	4.5	0	0	0	20	42.5
6702-971	10	10	5	7	3	2.5	10	47.5
6914-945	10	5	8	9	7.5	6		45.5
7684-280		7	9	9.5	8.5	5	15	54
7936-963	10	8	8	9.5	6	10	17	68.5
8161-985	10	0	0	0	0	0	18	28
8434-006	10	4	5	8.5	4	2.5	15	49
9123-417		3.5	7	6	7.5	10	20	54
9396-315	10	6	5	9	7	5.5	12	54.5

-->

the writing assignment

It looks like a lot of people based their writing assignment on this webpage, or this one, because there is very little or no other content in their papers.   Mostly this was uncited (BAD!)  In fact mostly it was cut and pasted  (oops! That's called plagiarism).  This is bad enough, but the source material is incoherent and incomplete.  Which means that the papers that depended on this material are also incoherent and incomplete....

Note to self: you gotta do better than this...

what's wrong with this venn diagram?

OR THIS ONE?

homework for next week (9/22-9/28/2013)

The homework for next week is sections 2.3 and 3.1 and is due at the beginning of class on Thursday.

Essay question

On Sep 16, 2013, at 4:30 PM,  ******** wrote

> Good afternoon,

>

> I have been stumped by this paper. I have come up with the justification as to why the four circle venn diagram does not work and have come up with a few solutions to the problem; I find myself hitting a wall when it comes to justifying why my chosen solutions work. I am not sure if I should just work through every possible combination and justify that it works that way or if I am simply supposed to indicate that the issue found in the four circles is resolved with my solutions. I am struggling to find a middle ground in these options but I can't seem to find one. I was hoping you could push me in the right direction?

>

> Thanks,

**********

#############################################################

On Mon, Sep 16, 2013 at 5:18 PM, tom taylor <tom.taylor@asu.edu> wrote:

hi *******,

I have two questions for you:

1) why do you believe that your solution works?

2) Do you mind If I post your question on the blog, without your name of course?

thanks,

Tom

#############################################################

I believe my solution works in that it bears similar characteristics of the four circle venn diagram but it also has the two combinations that I believe it did not represent. I'm not sure how I could go about strengthening that into a solid argument though.

I don't mind at all!

Thanks,

************

#############################################################

OK, so referring back to the homework problem, you can see from the hint in part a) that the set (A^D)/(BUC) is missing (I'm constrained in my fonts so I'm using '^' for intersection and 'U' for union), so it would be good if your new sets have this as one of the two new combinations.  So my help to you are questions. Which kind of combinations do you need to consider? How many of these combinations should you have, and how many do you have? (i.e. do you have the right number of combinations?)  How can you label the combinations you should have, and how can you tell if you have them all?

The Homework for Next Week (9/15-21/2013)

The written for next week is sections 2.1 and 2.2 and is due on Thursday.

 In addition, the final version of your essay is also due on Thursday. Those of you who turned in your first draft last thursday, need to get (bribe, pay, beg, intimidate) someone to read and criticize your first draft, which should result in your second draft.  *YOU*, yourself, then need to do a critical read of the second draft to come up with your third draft. Please turn in !BOTH! your second and third draft on thursday.

Homework Due Next Week (9/8/2013-9/14/2013)

1) Written homework due thursday at the beginning of class is sections 1.4 and 1.5.

2) You should be starting on your essay, which is due on September 19.  Don't know what to do? See the previous post, and ask. 

First Essay

Your first essay is Due on September 19.

The topic of the first essay is evaluating the use of "other geometrical figures" than the circle as a
a tool in place of the circle in "Venn diagrams" to illustrate the possible relationships between four sets.  The first thing to know about you essay is that it should be an essay, and in particular a critical essay. It may contain figures and images as an aid to understanding, but it should be primarily and substantially a written description and argument.

 It should contain no fewer words than are necessary to explain the problem and the solution to the problem clearly, and equally no more words than are necessary to explain the problem clearly.  It should be written in simple declarative sentences.  In your first draft: it should contain an introductory paragraph--which "tells them what you are going to tell them", should contain a body most likely consisting of several to ten substantial paragraphs-- which "tells them" and should contain a conclusory paragraph which "tells them what you told them".   

In your second draft, in addition to correcting grammar and presentation, you should evaluate the story you are telling: Is it dead boring?  Is it understandable? It shouldn't be!  Ask a friend or significant other to read your draft, write down  their comments and revise accordingly for the third and final draft.

When you turn in your essay, you should turn in all three drafts.

HW question

Hello!

This is ******* *******, and I am in your mat300 T,TH course this semester. I am curious as to if the 1.2 homework is due tomorrow, or just the 1.1 homework? 

Let me know.

Thanks. 

**************************************

Just section 1.1.--Tom Taylor

Homework Update

The syllabus has been edited and updated, book homework for the entire semester has been added to added to the syllabus.
Note:
1) The homework for section 1.1 is due this week on Thursday (August 29).
2) The first writing assignment is also added to the syllabus, it's due date is September 19

Office Hours

Some 31 of 35 MAT243 students responded to the office hours poll and received 10 extra credit points--most of the class.  There were 4 students who did not respond and who did not receive 10 extra credit points....

I just announced the new office hours on the course syllabus by email.  They are
Tuesdays Noon-1:00PM
Wednesdays 9:00AM-10:00AM
Fridays 11:00AM-Noon

Just one email announcing the new office hours was returned as undeliverable from a foreward, so it looks like email communications are operational.

Here are a Khan academy lecture and some exercises related to the lecture today.

Conditional statements and deductive reasoning 

Conditional statements exercise examples

Conditional statements 

Logical argument and deductive reasoning exercise example 

Logical arguments and deductive reasoning

Conditional statements and truth value

Logical reasoning

"Sentential Logic"
According to Merriam Online, sentential means

1: of or relating to a sentence <a relative clause with a sentential antecedent>

2 : of, relating to, or involving a proposition in logic <sentential connective>.

I'm not sure this sheds any light on what we are trying to do when we are learning sentential logic.    Or can you explain it to me? It looks like we have to figure out what we mean by doing...which is what we wind up doing anyway