Tuesday, February 23, 2010

6:20 PM: Mary Weaver has entered the room.
6:26 PM: John Beck(Ins) has entered the room.
6:26 PM: John Beck(Ins): Hi, Lisa and Mary!
6:28 PM: Kelly Fields has entered the room.
6:28 PM: John Beck(Ins): Hi, Kelly!
6:28 PM: Kelly Fields: Hi professor Beck and everyone.
6:29 PM: John Beck(Ins): Getting snow yet?
6:29 PM: Kelly Fields: Yes, we got some snow in Texas.
6:29 PM: Anna Oster has entered the room.
6:30 PM: Heather Rawls has entered the room.
6:30 PM: John Beck(Ins): Hi, Anna and Heather!
6:30 PM: Anna Oster: hallo everyone
6:30 PM: Heather Rawls: Hello Mr. Beck!
6:30 PM: John Beck(Ins): I had forgotten that you were in Texas, Kelly.
6:30 PM: Heather Rawls: Hello everyone
6:30 PM: Michelle Burrell has entered the room.
6:30 PM: John Beck(Ins): Hi, Michelle!
6:31 PM: Michelle Burrell: hello everyone
6:31 PM: Heather Rawls: Hi Michelle
6:32 PM: John Beck(Ins): Well, Class, it looks like it's time to get started.
6:33 PM: John Beck(Ins): Let me know when you are on Ch 4_p1, please.
6:33 PM: Michelle Burrell: got it
6:33 PM: Heather Rawls: here
6:33 PM: Anna Oster: got it
6:33 PM: Lindsay Gardner has entered the room.
6:34 PM: Sammy Ibrahim has entered the room.
6:34 PM: John Beck(Ins): Hi, Lindsay. We are on Ch 4_p1.
6:34 PM: Kelly Fields: got it
6:34 PM: John Beck(Ins): Hi, Sammy. We are on Ch 4_p1.
6:34 PM: John Beck(Ins): The Internet is a bit slow tonight.
6:35 PM: Lindsay Gardner: Hi Professor.
6:35 PM: Sammy Ibrahim: got it. Trying to get used to parallels so bear with me
6:35 PM: Shantay Williams has entered the room.
6:35 PM: John Beck(Ins): Okay, let's talk about Pascal's triangle.
6:35 PM: John Beck(Ins): Hi, Shantay! We are on Ch 4_p1.
6:35 PM: Shantay Williams: Hello, Professor!
6:36 PM: Kristine Buls has entered the room.
6:36 PM: Mary Weaver: Hello all!
6:36 PM: Heather Rawls: hi
6:36 PM: Kristine Buls: Hello
6:36 PM: Shantay Williams: Hello!
6:36 PM: Michelle Burrell: hey!
6:37 PM: Lindsay Gardner: Hi everybody! What did you guys think of last week's assignment?
6:37 PM: Mary Weaver: Professor I do believe the assignment last week gave me a few gray hairs!
6:37 PM: Shantay Williams: I still don't get it! It's very hard to me.
6:37 PM: Heather Rawls: I am mad at last week’s assignment
6:37 PM: Michelle Burrell: yea it was hard....
6:37 PM: Kristine Buls: Agree
6:37 PM: Mary Weaver: I don't feel bad anymore..........seems like everyone had issues.
6:37 PM: Lindsay Gardner: Oh good, I'm been dying to ask you guys how you felt. I feel the same as above
6:38 PM: Kelly Fields: Yeah I had a really hard time with it, glad I wasn't the only one
6:38 PM: Heather Rawls: It's was like once I thought that I had it I did not really have it
6:38 PM: John Beck(Ins): Got kicked off for the second time tonight!
6:38 PM: Mary Weaver: Right!
6:38 PM: Heather Rawls: if you know what I mean
6:38 PM: John Beck(Ins): I'm back.
6:38 PM: Michelle Burrell: LOL same here
6:38 PM: Mary Weaver: Welcome back! lol
6:39 PM: Michelle Burrell: i thought we lost u Teach LOL
6:39 PM: John Beck(Ins): Okay, are we all on Ch 4_p1?
6:39 PM: Mary Weaver: yes
6:39 PM: Kelly Fields: yes
6:39 PM: Lindsay Gardner: yes
6:39 PM: Michelle Burrell: yes
6:39 PM: Heather Rawls: yes
6:39 PM: Kristine Buls: yes
6:39 PM: Anna Oster: yes
6:39 PM: Lindsay Gardner: Please tell me this week's assignment will be nothing like last week’s, Professor!
6:39 PM: John Beck(Ins): The top row has a 1. It is referred to as row zero
6:39 PM: John Beck(Ins): I think Ch 4 is pretty easy!!
6:39 PM: Lindsay Gardner: Thank goodness!
6:40 PM: Michelle Burrell: lol
6:40 PM: John Beck(Ins): The next row has 1 1.
6:40 PM: Heather Rawls: well that is good that YOU think that!
6:40 PM: John Beck(Ins): That row is referred to as row 1
6:40 PM: Lindsay Gardner: lol
6:40 PM: John Beck(Ins): Remember, Heather, I wrote the text and the assignments!
6:40 PM: Heather Rawls: lol, exactly
6:41 PM: John Beck(Ins): Okay, let's go to page 2 to see how we generate these rows.
6:41 PM: John Beck(Ins): Here we see row 0 and row 1 and we're going to generate row 2.
6:41 PM: John Beck(Ins): Click on the continue button, please.
6:42 PM: Michelle Burrell: ok....
6:42 PM: John Beck(Ins): So this row begins with a 1, then we add the 1 and other 1 from row 1 to get 2 for our middle element.
6:42 PM: John Beck(Ins): Then we put a 1 on the diagonal.
6:42 PM: John Beck(Ins): Go to page 3, please.
6:43 PM: John Beck(Ins): We start with a 1 on the diagonal.
6:43 PM: John Beck(Ins): Then we add 1 + 2 to get 3.
6:43 PM: John Beck(Ins): Don't forget to click on the continue button.
6:43 PM: John Beck(Ins): Next we add 2 + 1 to get 3 again.
6:43 PM: John Beck(Ins): Click on the continue button, please.
6:43 PM: John Beck(Ins): Lastly we put a 1 on the diagonal.
6:44 PM: John Beck(Ins): Go to page 4, please.
6:44 PM: Jamie Baldwin has entered the room.
6:44 PM: John Beck(Ins): The row with: 1 5 10 10 5 1 is referred to as row 5.
6:44 PM: John Beck(Ins): can you generate row 6?
6:44 PM: Anna Oster: yes
6:44 PM: John Beck(Ins): Hi, Jamie! We are on Ch 4_ p4.
6:44 PM: Jamie Baldwin: hello
6:45 PM: John Beck(Ins): What is it, Anna?
6:45 PM: Mary Weaver: yes
6:45 PM: Sammy Ibrahim: 1,15,20,15,5,1?
6:45 PM: John Beck(Ins): What is row 6?
6:45 PM: Anna Oster: 1 6 15 20 15 6 1
6:45 PM: John Beck(Ins): Right, Anna!
6:45 PM: Mary Weaver: like Anna said
6:46 PM: John Beck(Ins): Great, Mary.
6:46 PM: John Beck(Ins): Everybody agree?
6:46 PM: Michelle Burrell: yup i got the same
6:46 PM: Kristine Buls: same
6:46 PM: Kelly Fields: Got the same.
6:46 PM: Anna Oster: bonus points for everyone?
6:46 PM: Lindsay Gardner: I may have to just go by the this week's lesson. I'm having trouble progressing to the whiteboard's next pages......
6:46 PM: John Beck(Ins): Math types do these things just for the fun of it. Then latter on somebody finds an application for it.
6:47 PM: John Beck(Ins): Lindsay, I'm not using the whiteboard. I'm using the walkthru for week 4.
6:47 PM: Jamie Baldwin has left the room.
6:47 PM: John Beck(Ins): Go to page 5, please.
6:47 PM: Lindsay Gardner: that's what I meant
6:47 PM: John Beck(Ins): Okay.
6:47 PM: John Beck(Ins): Go to page 6, please.
6:48 PM: John Beck(Ins): One way to solve this problem is to list the possible outcomes.
6:48 PM: John Beck(Ins): I could have used a tree diagram to generate these entries.
6:48 PM: John Beck(Ins): Go to page 7, please.
6:49 PM: John Beck(Ins): Or --- it looks like we could have used the formula for combinations to generate the soltions.
6:49 PM: John Beck(Ins): Go to page 8, please.
6:49 PM: John Beck(Ins): Or we could have used row 4 of Pascal's Triangle to generate the solution.
6:49 PM: John Beck(Ins): Be sure to click on the continue button.
6:50 PM: John Beck(Ins): Go to page 9, please.
6:50 PM: John Beck(Ins): New stuff.
6:50 PM: John Beck(Ins): Go to page 10, please.
6:51 PM: John Beck(Ins): We could partition the families as: those with 0-children or those with 1-child, etc.
6:51 PM: John Beck(Ins): Go to page 11, please.
6:51 PM: Kristine Buls has left the room.
6:52 PM: John Beck(Ins): In mathematics, we frequently use "at least" or "no more than" when talking about subsets.
6:52 PM: Kristine Buls has entered the room.
6:53 PM: John Beck(Ins): In this case, "the families with at least 1-child is equal to the families with 1-child + families with 2 children + children with 3 children.
6:53 PM: John Beck(Ins): HI, Kristine. We are on Ch 4 _p11.
6:53 PM: Kristine Buls: thanks
6:53 PM: John Beck(Ins): Go to page 12,please.
6:54 PM: John Beck(Ins): Or when "counting indirectly" we say that we can count the homes with at least one child by counting the total number of families minus the families with no children.
6:54 PM: John Beck(Ins): With me?
6:54 PM: Sammy Ibrahim: yes
6:54 PM: Michelle Burrell: ok i get it
6:55 PM: Kristine Buls: yes
6:55 PM: Kelly Fields: uh huh
6:55 PM: Mary Weaver: i will keep going
6:55 PM: John Beck(Ins): Okay, go to page 13, please.
6:55 PM: John Beck(Ins): Go to page 14, please.
6:55 PM: John Beck(Ins): Go to page 15, please.
6:56 PM: Sammy Ibrahim has left the room.
6:56 PM: John Beck(Ins): To count indirectly, we'd subtract the families with 3 children from the total number of families to get the homes with "at most 2 children."
6:56 PM: John Beck(Ins): Let's go to page 16, please.
6:57 PM: Sammy Ibrahim has entered the room.
6:57 PM: John Beck(Ins): Here's an example of counting indirectly.
6:57 PM: John Beck(Ins): Hi again, Sammy. We're on Ch 4_p16.
6:57 PM: John Beck(Ins): Go to page 17, please.
7:00 PM: John Beck(Ins): Got kicked off again.
7:00 PM: John Beck(Ins): Okay, I think I'm on page 17
7:01 PM: Kelly Fields: yes
7:01 PM: Michelle Burrell: yes
7:01 PM: Sammy Ibrahim has left the room.
7:01 PM: John Beck(Ins): To count the number of ways he could get at least 2 correct, we could count the ways he could get exactly 2 correct plus the ways he could get exactly 3 correct, etc.
7:02 PM: John Beck(Ins): We could probably get that answer before I get kicked off again.
7:02 PM: Michelle Burrell: lol
7:02 PM: John Beck(Ins): Go to page 18 for an easier method.
7:02 PM: John Beck(Ins): Oops, this is still the hard method -- counting C(10,2) + C(10,3) ... etc.
7:03 PM: John Beck(Ins): Lots and lots of work!
7:03 PM: John Beck(Ins): Go to page 19,please.
7:03 PM: John Beck(Ins): First of all, to the left of the equal sign we see that the total number of possible outcomes is 2^10
7:04 PM: John Beck(Ins): Remember, we have two choices for each of the 10 questions, so there are 2^10 possible ways he could mark his test paper.
7:04 PM: John Beck(Ins): Go to page 20, please.
7:05 PM: John Beck(Ins): I've underlined the outcomes that depict "at least 2 correct."
7:05 PM: John Beck(Ins): Go to page 21,please
7:06 PM: John Beck(Ins): So if I take 2^10 and subtract C(10,0) and C(10,1) I'll be left with "the total number of ways I could get at least 2 answers correct.
7:06 PM: John Beck(Ins): With me?
7:06 PM: Michelle Burrell: yes
7:06 PM: Mary Weaver: yes
7:06 PM: Kristine Buls: yes
7:06 PM: Anna Oster: got it
7:06 PM: Kelly Fields: yupp
7:06 PM: John Beck(Ins): Okay, go to page 22, please.
7:07 PM: John Beck(Ins): I'll bet a penny that you'll see at least one of these problems in the homework!
7:07 PM: Michelle Burrell: the second way is easier and less work
7:07 PM: John Beck(Ins): Okay, any questions?
7:07 PM: John Beck(Ins): Yes, Michelle.
7:08 PM: Michelle Burrell: nope
7:08 PM: Kelly Fields: Yes, where did the 1 come from in 102-1-10
7:08 PM: Kelly Fields: *1024
7:08 PM: John Beck(Ins): 2^10 = (2)(2)(2)(2)...(2) = 1024
7:08 PM: John Beck(Ins): C(10,0) = 1
7:08 PM: John Beck(Ins): C(10,1) = 10
7:08 PM: John Beck(Ins): Okay?
7:08 PM: Kelly Fields: oh okay got it, thank you.
7:09 PM: John Beck(Ins): Any other questions?
7:09 PM: Anna Oster: I have question if the problems says 5 card poker how many cards are we talking about?
7:09 PM: Mary Weaver: no
7:09 PM: Michelle Burrell has left the room.
7:09 PM: John Beck(Ins): Guess what--- we're almost ready for on-campus exam 1.
7:10 PM: Mary Weaver: What were the grades like on the last homework. I am not feeling to confident about that section.
7:10 PM: John Beck(Ins): Double-click on the Lessons Icon and I'll bet you'll find a practice test that is very, very similar to the first exam!!!!!!!!!!!!!!!!!!!!!
7:11 PM: John Beck(Ins): Mary, I post the grades on WebCT/Bb
7:11 PM: Anna Oster: Prof. how many cards?
7:11 PM: John Beck(Ins): I also post the worked-out solutions on http://www.mathsoftware.com/walkthru.html
7:11 PM: John Beck(Ins): I don't understand your question, Anna.
7:12 PM: Anna Oster: one of the problems is about 5 card poker
7:12 PM: John Beck(Ins): There are 52 cards in a standard playing deck, Anna.
7:12 PM: Anna Oster: ok thank you
7:12 PM: John Beck(Ins): 4 Aces, 4 Kings, 4 Queen,... 4 twos.
7:13 PM: Anna Oster: ok
7:13 PM: John Beck(Ins): Okay, send me an email if you have questions.
7:13 PM: John Beck(Ins): G'night, Class.
7:13 PM: Kristine Buls: night
7:13 PM: Kristine Buls has left the room.
7:13 PM: Mary Weaver: gnight
7:13 PM: Anna Oster: good night
7:13 PM: Kelly Fields: Goodnight
7:13 PM: Kelly Fields has left the room.
7:13 PM: Mary Weaver has left the room.
7:13 PM: John Beck(Ins) has left the room.
7:14 PM: Anna Oster has left the room.
7:15 PM: Anna Oster has entered the room.
7:15 PM: Anna Oster has left the room.
7:15 PM: Lisa Thomas has entered the room.
7:16 PM: Shantay Williams has left the room.
7:17 PM: Heather Rawls has entered the room.
7:17 PM: Heather Rawls has left the room.
7:17 PM: Lisa Thomas: just stopped in for a minute, trying to finish up the homework, it takes me forever to this stuff through. Well let me get back to it--good luck everybody with the homework for tonight. have a great evening. :O)
7:18 PM: Lisa Thomas has left the room.
8:11 PM: Lindsay Gardner has left the room.
9:49 PM: Nancy Panshoukian has entered the room.
9:50 PM: Nancy Panshoukian has left the room.
10:16 PM: Shante Jackson has entered the room.
10:16 PM: Shante Jackson has left the room.