text:
Mapping my World

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Mapping My World

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 * bgcolor="#b4b4b4" style="border: 0px #cccccc solid;" |Grade Level: 9th
 * }

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 * bgcolor="#b4b4b4" style="border: 0px #cccccc solid;" |Subject: Advanced Earth Science
 * }

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 * bgcolor="#b4b4b4" style="border: 0px #cccccc solid;" |Sub-Subject: Topographic Maps and Remote Sensing
 * }

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 * bgcolor="#b4b4b4" style="border: 0px #cccccc solid;" |Length/Duration: 2 class periods/ 1 block period: 1 hour 40 minutes
 * }

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 * bgcolor="#b4b4b4" style="border: 0px #cccccc solid;" |Technologies Used:

World's Largest Skateboard Ramp: ,

Slope of a line: ,

Interactive slope of a line:
 * }
 * }

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Summary
Students use topographic maps of local areas, determine contour intervals, gradients, and latitude/ longitude. Students then use latitude/ longitude to plot location on Google Earth.

Students will measure distances using graphic and fractional scales, interpret map symbols, and draw a profile of a topographic map.

Objectives

Students will understand that gradient is the steepness of a slope.

Students will know that gradient equals the change in elevation divided by the distance between two points.

Students will understand that remote sensing devices like google earth represents information plotted on a topographic map.

Students will know how to plot locations on google earth using latitude/ longitude points.

 * }

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CA Standards
CA- California K-12 Academic Content Standards • Subject : Science • Grade : Grades Nine Through Twelve Standards that all students are expected to achieve in the course of their studies are unmarked. Standards that all students should have the opportunity to learn are marked with an asterisk (*). • Area : Investigation and Experimentation • Sub-Strand 1: Scientific progress is made by asking meaningful questions and conducting careful investigations. As a basis for understanding this concept and addressing the content in the other four strands, students should develop their own questions and perform investigations. Students will: Standard a: Select and use appropriate tools and technology (such as computer-linked probes, spreadsheets, and graphing calculators) to perform tests, collect data, analyze relationships, and display data. Standard h: Read and interpret topographic and geologic maps. Standard i: Analyze the locations, sequences, or time intervals that are characteristic of natural phenomena (e.g., relative ages of rocks, locations of planets over time, and succession of species in an ecosystem).

 * }

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The Lesson/ Planning A Camping Trip
Lesson Introduction

To introduce the lesson, I showed students a topographic map and photograph from a camping trip I took in the Great Smoky Mountains National Park. I explained that one day they may take a trip like that with their family or friends. Students were instructed to pretend they were taking a hiking trip to Alaska with their group. Each group picked out a topographic map and decided the staring point and ending location for their hike. Students used this to determine the distance and steepness of their hike.

Purpose

Students will use topographic maps of local areas of Alaska to determine:
 * 1) The distance between two points (A & B)
 * 2) The change in elevation between the two points
 * 3) The gradient of between the two points
 * 4) The latitude/ longitude (indicate the minutes and seconds)

Students will plot their ending location (B) on Google Earth to better understand the relationship of topographic maps to remote sensing devices.

Materials

 * Topographic maps
 * Poster board
 * String to determine distance between to points
 * Glue sticks, markers, access to Google Earth

Lesson Sequence

 * 1) Students pick two points on map (A&B). Then students determine the actual distance between the two points using the map scale provided on the map.
 * 2) Students determine the steepest gradient of their hike using the highest and lowest elevation between the two points. Students must know how to calculate gradient; this requires them to read index contour lines to determine the change in elevation.
 * 3) Once students have completed steps 1 & 2 they create a poster; the poster displays the map with hike highlighted, calculated distance and gradient, latitude and longitude using minutes an second of point A & B, and a profile of their calculated gradient.
 * 4) Students then use latitude and longitude of point B to find the location on Google Earth.
 * 5) As a class students look at their locations plotted on Google Earth. If students did not accurately figure the minutes and seconds of latitude/ longitude their points may be plotted in locations like the ocean.  This is a good opportunity to explain why minutes and seconds are used to determine exact locations, and if they are miscalculated the location could be off by hundreds of miles.

Publishing Project

Students projects are displayed or "published" on the class website or/and class Facebook page.

Earth Science Facebook Page

Google Earth Image with Student Group Locations

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Reflection
Successful Aspects

This lesson was implemented 10/09. Students liked the introduction commenting "You actually did that?"; I think the introduction was a good way to show students how this information they are using in class my be useful to them later in life even if they do not pursue a career in the sciences. I also tried to increase motivation by creating scenarios saying they were all CEO's of major companies and they wanted to go on a camping trip, but they needed to charter a helicopter to pick them up at their ending point. So this was why they needed to provide latitude and longitude points for the pilot. As I was walking around I heard students playing around with this scenario, "we need to tell the pilot where to pick us up" and "That is a high mountain to climb, we have the money should we hire a guide to carry our stuff".

Areas of Improvement

Students had difficulty determining the gradient, I feel this would have been easier for them if I included a warm up problem about gradients so they could have some practice prior to the project. Also, I feel next time I would have students use the computer lab and each group plot their location on Google Earth. This would allow students to use the technology instead of observing the teacher use it. Google Earth also provide pictures and information about areas plotted, students could use this application to research their area and how the climate of an area relates to the latitude and longitude.

Application for Future Lessons

Our class is now learning about weathering and erosion. The topography of an areas helps to determine the rate of weathering and erosion. Students refer to this project when explaining this relationship. They know the steeper the gradient the faster the processes of weathering and erosion take place.

 * }

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Related Articles
Articles represented in the lesson are as follows:

 * Baumeister, R. F., Bratslavsky, E., Muraven, M., & Tice, D. M. (1998). Ego depletion: Is the active self a limited resource? Journal of Personality and Social Psychology, 74(5), 1252-1265.

 * Dewey, J. (1916). Democracy and education: An introduction to the philosophy of education (pp. 12-27). New York, NY: The Macmillan Company

 * Zimmerman, B. J., & Pons, M. M. (1986). Development of a structured interview for assessing student use of self-regulated learning strategies. American Educational Research Journal, 23(4), 614-628.

Empirical & Technical Articles

Baumeister

“Ego depletion suggests that some internal resource is used by the self to make decisions, respond actively, and exert self-control” (Baumeister, 1998). When restraint or control is active, energy resources deplete (Baumeister, 1998). Based on these implications, the lesson focused on release of control to students in order to conserve energy resource needed for later problem solving applications. In other words, students freely chose aspects of the project and conserved energy needed to synthesize information later in the lesson. Students’ temporary ability of unrestrained choice enhances understanding later in the lesson sequence; this is how learning occurs.

Zimmerman

This study finds that high achieving students use a high rate of social recourses such as teachers and peers to foster learning (Zimmerman, 1986). The group aspect of this lesson catered to these findings. Students used peers to gain knowledge presented by the textbook. The group learning sequence applied to the sequence with technology, student groups plotted determined locations to Google Earth. As a class, students and teacher compared and discussed accuracy of data. Technology promoted learning because the structured environment provided peer and teacher support.

Theory

Dewey

Theory for this lesson stems from Dewey’s idea that education is a social function (Dewey, Democracy and Education: An Introduction to the Philosophy of Education, 1916). “The things with which a man varies are his genuine environments” (Dewey, Democracy and Education: An Introduction to the Philosophy of Education, 1916). Technology enhances learning because it is part of students’ genuine environment. “A being whose activities are associated with others has a social environment” (Dewey, Democracy and Education: An Introduction to the Philosophy of Education, 1916). Students use technology in social environments. Technology is a conceptual extension of their physical world. The lesson sequence places students in a hypothetical social situation where technology is used. Technology enhances learning because it enhances the experienced environment.

Educational Technology Lesson Plans

Educational technology

 * }

title: Mapping my World


text:
User:Bank Bura

Hi, my name is Narongdej Burapanakan. My ID is 5080373

Fastest laptop computer, Alienware M17x

Spec:

Intel Core 2 Quad Extreme QX9300 CPU(2.53 GHz)

dual Nvidia GeForce GTX 280M GPUs

Hard drive size: 500 GB

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license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/

title: User:Bank Bura


text:
Philosophy/Questions

Would the humanity acquire knowledge to make everything? This article tries to invoke one's mind with facts. The following is the list of facts relating to limits of human knowledge.

No one can have the knowledge to make a thing which cannot exhibit: 1. divisibility 2. comparability 3. connectivity 4. disturbability 5. reorderability 6. substituability and 7. satisfiability. Divisibility is the property without which no one can either be a part or be a whole. Comparability is the property without which no one can either be an equivalence or be a difference. Connectivity is the property without which no one can either be a link or be a limit. Disturbability is the property without which no one can either be a influence or be a sensation. Reorderability is the property without which no one can either be an origin or be a derivative. Substitutability is the property without which no one can either be a constituent or be a substituent. Satisfiability is the property without which no one can either be a requirement or a fulfillment.
 * 1) Can a thing which cannot exhibit divisibility be made?
 * 2) Can a thing which cannot exhibit comparability be made?
 * 3) Can a thing which cannot exhibit connectivity be made?
 * 4) Can a thing which cannot exhibit disturbability be made?
 * 5) Can a thing which cannot exhibit reorderability be made?
 * 6) Can a thing which cannot exhibit substituability be made?
 * 7) Can a thing which cannot exhibit satisfiability be made?

Man

 * 1) Can a man who cannot exhibit divisibility be made?
 * 2) Can a man who cannot exhibit comparability be made?
 * 3) Can a man who cannot exhibit connectivity be made?
 * 4) Can a man who cannot exhibit disturbability be made?
 * 5) Can a man who cannot exhibit reorderability be made?
 * 6) Can a man who cannot exhibit substituability be made?
 * 7) Can a man who cannot exhibit satisfiability be made?

Woman

 * 1) Can a woman who cannot exhibit divisibility be made?
 * 2) Can a woman who cannot exhibit comparability be made?
 * 3) Can a woman who cannot exhibit connectivity be made?
 * 4) Can a woman who cannot exhibit disturbability be made?
 * 5) Can a woman who cannot exhibit reorderability be made?
 * 6) Can a woman who cannot exhibit substituability be made?
 * 7) Can a woman who cannot exhibit satisfiability be made?

Love

 * 1) Can a love which cannot exhibit divisibility be made?
 * 2) Can a love which cannot exhibit comparability be made?
 * 3) Can a love which cannot exhibit connectivity be made?
 * 4) Can a love which cannot exhibit disturbability be made?
 * 5) Can a love which cannot exhibit reorderability be made?
 * 6) Can a love which cannot exhibit substituability be made?
 * 7) Can a love which cannot exhibit satisfiability be made?

Tomato

 * 1) Can a tomato which cannot exhibit divisibility be made?
 * 2) Can a tomato which cannot exhibit comparability be made?
 * 3) Can a tomato which cannot exhibit connectivity be made?
 * 4) Can a tomato which cannot exhibit disturbability be made?
 * 5) Can a tomato which cannot exhibit reorderability be made?
 * 6) Can a tomato which cannot exhibit substituability be made?
 * 7) Can a tomato which cannot exhibit satisfiability be made?

Potato

 * 1) Can a potato which cannot exhibit divisibility be made?
 * 2) Can a potato which cannot exhibit comparability be made?
 * 3) Can a potato which cannot exhibit connectivity be made?
 * 4) Can a potato which cannot exhibit disturbability be made?
 * 5) Can a potato which cannot exhibit reorderability be made?
 * 6) Can a potato which cannot exhibit substituability be made?
 * 7) Can a potato which cannot exhibit satisfiability be made?

Atom

 * 1) Can an atom which cannot exhibit divisibility be made?
 * 2) Can an atom which cannot exhibit comparability be made?
 * 3) Can an atom which cannot exhibit connectivity be made?
 * 4) Can an atom which cannot exhibit disturbability be made?
 * 5) Can an atom which cannot exhibit reorderability be made?
 * 6) Can an atom which cannot exhibit substituability be made?
 * 7) Can an atom which cannot exhibit satisfiability be made?

Molecule

 * 1) Can a molecule which cannot exhibit divisibility be made?
 * 2) Can a molecule which cannot exhibit comparability be made?
 * 3) Can a molecule which cannot exhibit connectivity be made?
 * 4) Can a molecule which cannot exhibit disturbability be made?
 * 5) Can a molecule which cannot exhibit reorderability be made?
 * 6) Can a molecule which cannot exhibit substituability be made?
 * 7) Can a molecule which cannot exhibit satisfiability be made?

Gene

 * 1) Can a gene which cannot exhibit divisibility be made?
 * 2) Can a gene which cannot exhibit comparability be made?
 * 3) Can a gene which cannot exhibit connectivity be made?
 * 4) Can a gene which cannot exhibit disturbability be made?
 * 5) Can a gene which cannot exhibit reorderability be made?
 * 6) Can a gene which cannot exhibit substituability be made?
 * 7) Can a gene which cannot exhibit satisfiability be made?

Concept

 * 1) Can a concept which cannot exhibit divisibility be made?
 * 2) Can a concept which cannot exhibit comparability be made?
 * 3) Can a concept which cannot exhibit connectivity be made?
 * 4) Can a concept which cannot exhibit disturbability be made?
 * 5) Can a concept which cannot exhibit reorderability be made?
 * 6) Can a concept which cannot exhibit substituability be made?
 * 7) Can a concept which cannot exhibit satisfiability be made?

Idea

 * 1) Can an idea which cannot exhibit divisibility be made?
 * 2) Can an idea which cannot exhibit comparability be made?
 * 3) Can an idea which cannot exhibit connectivity be made?
 * 4) Can an idea which cannot exhibit disturbability be made?
 * 5) Can an idea which cannot exhibit reorderability be made?
 * 6) Can an idea which cannot exhibit substituability be made?
 * 7) Can an idea which cannot exhibit satisfiability be made?

Change

 * 1) Can a change which cannot exhibit divisibility be made?
 * 2) Can a change which cannot exhibit comparability be made?
 * 3) Can a change which cannot exhibit connectivity be made?
 * 4) Can a change which cannot exhibit disturbability be made?
 * 5) Can a change which cannot exhibit reorderability be made?
 * 6) Can a change which cannot exhibit substituability be made?
 * 7) Can a change which cannot exhibit satisfiability be made?

Event
. ..
 * 1) Can an event which cannot exhibit divisibility be made?
 * 2) Can an event which cannot exhibit comparability be made?
 * 3) Can an event which cannot exhibit connectivity be made?
 * 4) Can an event which cannot exhibit disturbability be made?
 * 5) Can an event which cannot exhibit reorderability be made?
 * 6) Can an event which cannot exhibit substituability be made?
 * 7) Can an event which cannot exhibit satisfiability be made?

What cannot

 * 1) What cannot exhibit divisibility?
 * 2) What cannot exhibit comparability?
 * 3) What cannot exhibit connectivity?
 * 4) What cannot exhibit disturbability?
 * 5) What cannot exhibit reorderability?
 * 6) What cannot exhibit substituability?
 * 7) What cannot exhibit satisfiability?

Everyone and everything can exhibit: 1. divisibility 2. comparability 3. connectivity 4. disturbability 5. reorderability 6. substituability and 7. satisfiability. Everyone who could not identify these properties would have no knowledge on the properties of things.

What would not happen if

 * 1) What would not happen if no thing could exhibit divisibility?
 * 2) What would not happen if no thing could exhibit comparability?
 * 3) What would not happen if no thing could exhibit connectivity?
 * 4) What would not happen if no thing could exhibit disturbability?
 * 5) What would not happen if no thing could exhibit reorderability?
 * 6) What would not happen if no thing could exhibit substituability?
 * 7) What would not happen if no thing could exhibit satisfiability?

Here Comes The Mighty Challenge
Can you make a thing which cannot exhibit: 1. divisibility 2. comparability 3. connectivity 4. disturbability 5. reorderability 6. substituability and 7. satisfiability?

The humanity shall continue with these questions until everyone acquires the knowledge to make things which cannot exhibit: 1. divisibility 2. comparability 3. connectivity 4. disturbability 5. reorderability 6. substituability and 7. satisfiability.

title: Philosophy/Questions


text:
Talk:Christian Denominations

how the jehovah's witnesses fit in to the hiarchyof christian denominations?--75.55.50.181 03:06, 9 October 2009 (UTC)

title: Talk:Christian Denominations


text:
User:Katsyuba

=Freshman Seminar=

Always Wanted To Schedule

 * Topic

Learn How to Play on guitar
 * Research Component

<>
 * week 1

 * week 2

 * week 3

 * week 4

buy guitar and find lessons how to play.
 * week 5

got 4/24 lessons
 * week 6

got 7/24 lessons
 * week 7

got 9/24 lessons
 * week 8

got 12/24 lessons

Midterm Assignment 1: Taste & Aesthetics
For our special assignment I been got to Olympic Sculpture park, to find one of sculpture what I do not like, or more. From first minutes of my walk I sow one thing that I actually did not understand. I came closer. That were five big black metal daemon on ground, and that was a sculpture. An author of that thing is Tony Smith. I am not really good understand in sculptures, but I did not like it from first view, and it was that what I need for assignment.

I get home in go internet to find some information about Tony Smith and his Wandering Rocks. I looked pictures of his different works, they all has some similarity, all black, metal and with corners. No, his different sculptures did not affect on my mind, and I steal do not like it. I read his biography, than read comments of different people. Most of them wrote that he was great man and sculptor, and that all his works are beautiful. I was totally disagree with those people, maybe I do not know story of that sculpture, but after long time of researching I did not find information, and I stayed with my first opinion.

Midterm Assignment 2: Manipulation
Slick 50® Advanced Formula Engine Treatment. On bottle of that written that this is best engine care fluid, it clean and save engine in good condition for long time. You can add it in gas or in oil, Best Mechanic in One Bottle. But www.consumerreports.org said that is supper bed thing for any engine, it is not only don't help engine, but make it more unsafe. Slick 50 company get millions of fees because thousands of were cars broke because of it.

Midterm Assignment 3: Always Wanted To Progress Report (100 words or so)
I doing ok with my project about learning play on guitar. This is became much harder than I thought before I began that, but I already got 7 lessons  from 24. On weekend I learning lessons, in other days, after school, I am doing practice work. In present time I already can play something but really, really slow. I think I need more practice to speed up, for it need more time, and maybe I could not finish all lessons to the end of week 8, but I think I will play better then now!

Final Presentation

 * Topic (10%)

<>

 * Research (20%)

<>

 * 1) Internet site:

Chords for Guitar. 2002. Web. Nov. 2009. . Guitar Lessons. Leonid Ananiev, 2005. Web. Nov. 2009. .
 * 2) Book:
 * 3) Scholarly Journal:
 * 4) Other (interview, TV show,etc):

 * Your accomplishment (20%)

http://www.youtube.com/watch?v=exvgltzyP64

 * Project Review (50%)
 * 1)What went well - I thougt will be harder
 * 2)What went poorly - notes and speed
 * 3)Future strategies - I don't want stop on that.

Self-Assessment
From first days I thought this class will be very hard for me, because there need to talk and write, and I have problem with English sometimes. I can't say what I learn a lot in this class that I did not know before, also I can't say opposite. I think program in this class was not learn, but understand what you already know. For me this class was interesting and useful, cool teacher made that time more fun. Project "I always wanted to" give me a chance to learn how to play on guitar, if not that, I think maybe my guitar still were in shop. Other project help me learn language, I learn about 30 words that I did not know. And more experience talk in front of public, I always had problems with that. Something I made not right, or not how I wanted to do that, but I can add it to my experience for future time too. I do not regret about what I was in this class.

title: User:Katsyuba


text:
User:KevinB

=Freshman Seminar=

Always Wanted To Schedule

 * Topic

i want to make a beat tape
 * Research Component

I'll look up different artists and genres of music to sample. I'll also check out different techniques and methods to making my music.
 * week 1

start looking for records and samples to use for my beats
 * week 2

keep diggin' in the crates and start chopping up samples
 * week 3

still sample diggin' and try to get some input from fellow producers
 * week 4

start working on the beats
 * week 5

keep working on beats
 * week 6

work on beats and think of good ways to present
 * week 7

get busy on the beats and ask for opinions on what I've made so far
 * week 8

finish up the beat tape, make sure everything sounds good, and hopefully end up with a good finished product

Midterm Assignment 1: Taste & Aesthetics

 * Wandering Rocks

It took me a while to find a piece that I felt I didn’t like. I consider myself to be a person who can find a way to appreciate all art forms, and honestly I didn’t necessarily hate any of the works in the park. So I ended up choosing the piece I liked the least, which ended up being “Wandering Rocks” by architect and sculptor Tony Smith. It appeared to be a bunch of random and abstract geometric blocks set on the ground in no particular order that I could see. It just didn’t stand out as something impressive or even artistic to me, Although I knew there must have been a method to the madness, so I decided that when I had time I was actually going to look it up. First I looked up Tony Smith and found that he was originally an architect, which instantly made more sense to me. I understood that Tony must have been very into shapes and structure and the way that they are viewed. I also learned that the piece was inspired by the mathematical and geometrical structures in molecules and crystals according to the Seattle Art Museum website. The thing I learned that I actually found intriguing was that “Wandering Rocks” five parts pays respect to the Royoanji Zen garden in Kyoto, Japan. So I looked up the garden online and saw how amazing it is, and how “Wandering Rocks” could fit right in at the Japanese garden. After learning a little bit about the piece and its creator, I can say in confidence that it’s no longer my least favorite sculpture in the park. Originally when I saw the piece I thought of it as somewhat dull and pointless, but I now realize that the inspiration behind it is actually something I find to be quite interesting. Now when I look at the sculpture it will remind me of the feng shui and tranquility that you would find in a Japanese garden.

Final Presentation

 * Topic (10%)

< >

 * Research (20%)

<>

 * 1) Internet site:
 * 2) Book:
 * 3) Scholarly Journal:
 * 4) Other (interview, TV show,etc):

 * Your accomplishment (20%)

<>

 * Project Review (50%)
 * 1)What went well
 * 2)What went poorly
 * 3)Future strategies

Self-Assessment
--KevinB 05:15, 9 October 2009 (UTC)--KevinB 05:15, 9 October 2009 (UTC)--KevinB 05:15, 9 October 2009 (UTC)--KevinB 05:15, 9 October 2009 (UTC)--KevinB 05:15, 9 October 2009 (UTC) Block quote--KevinB 05:15, 9 October 2009 (UTC)

title: User:KevinB


text:
User talk:KenH~enwikiversity

 Hello KenH, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

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And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

Your account will be renamed
Hello,

The developer team at Wikimedia is making some changes to how accounts work, as part of our on-going efforts to provide new and better tools for our users like cross-wiki notifications. These changes will mean you have the same account name everywhere. This will let us give you new features that will help you edit and discuss better, and allow more flexible user permissions for tools. One of the side-effects of this is that user accounts will now have to be unique across all 900 Wikimedia wikis. See the announcement for more information.

Unfortunately, your account clashes with another account also called KenH. To make sure that both of you can use all Wikimedia projects in future, we have reserved the name KenH~enwikiversity that only you will have. If you like it, you don't have to do anything. If you do not like it, you can pick out a different name.

Your account will still work as before, and you will be credited for all your edits made so far, but you will have to use the new account name when you log in.

Sorry for the inconvenience.

Yours, Keegan Peterzell Community Liaison, Wikimedia Foundation 23:35, 17 March 2015 (UTC)

Renamed
 This account has been renamed as part of single-user login finalisation. If you own this account you can |log in using your previous username and password for more information. If you do not like this account's new name, you can choose your own using this form after logging in: . -- Keegan (WMF) (talk) 06:13, 19 April 2015 (UTC)

title: User talk:KenH~enwikiversity


text:
User talk:MajoryGhalami

 Hello MajoryGhalami, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due

 * Majory,

It isn't clear to me from this exactly what you are going to do. Add some specifics to your topic/research component, and fill out the schedule today.
 * Best, Stevenarntson

title: User talk:MajoryGhalami


text:
User talk:CainanMartens

 Hello CainanMartens, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

Week 3
Looks great--I like the topic. I have read Utopia, but not for many years. Best, Stevenarntson

Reply
Cainan, I replied to your good comments on my discussion page.
 * Best, Stevenarntson

Power of Nightmares
Is available here

Zeitgeist
An NYTimes article here

title: User talk:CainanMartens


text:
User talk:AshtonR

 Hello AshtonR, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

title: User talk:AshtonR


text:
User talk:Carissabauman

 Hello Carissabauman, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

title: User talk:Carissabauman


text:
User talk:KatherineGibson

 Hello KatherineGibson, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due - Template Issue

 * Katherine,

You've posted the templates for all of my classes on your page, but I suspect you're only in one of them. Delete everything but the information for Freshman Seminar.

Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

title: User talk:KatherineGibson


text:
User talk:ShuyuL

 Hello ShuyuL, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

Format
I'd like to see this formatted in a more easy-to-read way; right now it's one big paragraph. Thanks for posting,
 * Stevenarntson

title: User talk:ShuyuL


text:
User talk:Fahadsaeedmalik

 Hello Fahadsaeedmalik, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

title: User talk:Fahadsaeedmalik


text:
User talk:RGHwiki

 Hello RGHwiki, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

title: User talk:RGHwiki


text:
User talk:KipYellowjacket~enwikiversity

 Hello KipYellowjacket, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Your account will be renamed
Hello,

The developer team at Wikimedia is making some changes to how accounts work, as part of our on-going efforts to provide new and better tools for our users like cross-wiki notifications. These changes will mean you have the same account name everywhere. This will let us give you new features that will help you edit and discuss better, and allow more flexible user permissions for tools. One of the side-effects of this is that user accounts will now have to be unique across all 900 Wikimedia wikis. See the announcement for more information.

Unfortunately, your account clashes with another account also called KipYellowjacket. To make sure that both of you can use all Wikimedia projects in future, we have reserved the name KipYellowjacket~enwikiversity that only you will have. If you like it, you don't have to do anything. If you do not like it, you can pick out a different name.

Your account will still work as before, and you will be credited for all your edits made so far, but you will have to use the new account name when you log in.

Sorry for the inconvenience.

Yours, Keegan Peterzell Community Liaison, Wikimedia Foundation 23:41, 17 March 2015 (UTC)

Renamed
 This account has been renamed as part of single-user login finalisation. If you own this account you can |log in using your previous username and password for more information. If you do not like this account's new name, you can choose your own using this form after logging in: . -- Keegan (WMF) (talk) 06:13, 19 April 2015 (UTC)

title: User talk:KipYellowjacket~enwikiversity


text:
User talk:JoelSimler

 Hello JoelSimler, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:18, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:18, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

Burn to Shine
Series about bands playing in condemned structures. Here is the Wikipedia page on it.
 * Best, Stevenarntson

title: User talk:JoelSimler


text:
User talk:Jacquelinec~enwikiversity

 Hello Jacquelinec, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:19, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:19, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

Your account will be renamed
Hello,

The developer team at Wikimedia is making some changes to how accounts work, as part of our on-going efforts to provide new and better tools for our users like cross-wiki notifications. These changes will mean you have the same account name everywhere. This will let us give you new features that will help you edit and discuss better, and allow more flexible user permissions for tools. One of the side-effects of this is that user accounts will now have to be unique across all 900 Wikimedia wikis. See the announcement for more information.

Unfortunately, your account clashes with another account also called Jacquelinec. To make sure that both of you can use all Wikimedia projects in future, we have reserved the name Jacquelinec~enwikiversity that only you will have. If you like it, you don't have to do anything. If you do not like it, you can pick out a different name.

Your account will still work as before, and you will be credited for all your edits made so far, but you will have to use the new account name when you log in.

Sorry for the inconvenience.

Yours, Keegan Peterzell Community Liaison, Wikimedia Foundation 23:39, 17 March 2015 (UTC)

Renamed
 This account has been renamed as part of single-user login finalisation. If you own this account you can |log in using your previous username and password for more information. If you do not like this account's new name, you can choose your own using this form after logging in: . -- Keegan (WMF) (talk) 06:12, 19 April 2015 (UTC)

title: User talk:Jacquelinec~enwikiversity


text:
User talk:Kaseyc~enwikiversity

 Hello Kaseyc, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:19, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:19, 9 October 2009 (UTC)

Schedule Due
Please complete your schedule for weeks 1 - 8 today.
 * Best, Stevenarntson

Week 3
This looks good. Dante used a poetic form called Terza Rima, an interlocking rhyme scheme that has since been employed by many English-speaking poets. It is tricky.
 * Best, Stevenarntson

Your account will be renamed
Hello,

The developer team at Wikimedia is making some changes to how accounts work, as part of our on-going efforts to provide new and better tools for our users like cross-wiki notifications. These changes will mean you have the same account name everywhere. This will let us give you new features that will help you edit and discuss better, and allow more flexible user permissions for tools. One of the side-effects of this is that user accounts will now have to be unique across all 900 Wikimedia wikis. See the announcement for more information.

Unfortunately, your account clashes with another account also called Kaseyc. To make sure that both of you can use all Wikimedia projects in future, we have reserved the name Kaseyc~enwikiversity that only you will have. If you like it, you don't have to do anything. If you do not like it, you can pick out a different name.

Your account will still work as before, and you will be credited for all your edits made so far, but you will have to use the new account name when you log in.

Sorry for the inconvenience.

Yours, Keegan Peterzell Community Liaison, Wikimedia Foundation 23:40, 17 March 2015 (UTC)

Renamed
 This account has been renamed as part of single-user login finalisation. If you own this account you can |log in using your previous username and password for more information. If you do not like this account's new name, you can choose your own using this form after logging in: . -- Keegan (WMF) (talk) 06:13, 19 April 2015 (UTC)

title: User talk:Kaseyc~enwikiversity


text:
User talk:Cscully

 Hello Cscully, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:19, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:19, 9 October 2009 (UTC)

Schedule and Topic Due
Your schedule and topic are both due today. Please post!
 * Best, Stevenarntson

title: User talk:Cscully


text:
User talk:KelleyP

 Hello KelleyP, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:19, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:19, 9 October 2009 (UTC)

Schedule and Topic Due

 * Kelley,

Change your topic a bit to reflect that you won't actually be hiking the trail this quarter, and finish off your schedule today. Good luck!
 * Best, Stevenarntson

title: User talk:KelleyP


text:
User talk:Kanit yartsangkad

 Hello Kanit yartsangkad, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:19, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:19, 9 October 2009 (UTC)

title: User talk:Kanit yartsangkad


text:
User talk:MisterJohn

 Hello MisterJohn, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! --Mu301Bot 07:19, 9 October 2009 (UTC)

Feel free to leave a message on my talk page if you have any questions or need help. --mikeu talk 07:19, 9 October 2009 (UTC)

title: User talk:MisterJohn


text:
Box's M

In a multivariate normal distribution, each variable has a normal distribution, and the variables are correlated with each other.

Box's M tests the homogeneity of variance-covariance matrices by comparing the variance-covariance matrices for each group and dependent variable (DV). For example, if you have five DVs, it tests for five correlations and ten covariances for equality across the groups. So the more DVs, the higher the likelihood of non-equality of variances across the groups.

Box's M tests "the assumption ... that the vector of the dependent variables follow a multivariate normal distribution, and the variance-covariance matrices are equal across the cells formed by the between-subjects effects." (SPSS 14 Help - Tutorial)

 * Homogeneity of Covariance Matrices

"MANOVA makes the assumption that the within-group covariance matrices are equal. If the design is balanced so that there is an equal number of observations in each cell, the robustness of the MANOVA tests is guaranteed. If the design is unbalanced, you should test the equality of covariance matrices using Box's M test. If this test is significant at less than 0.001, there may be severe distortion in the alpha levels of the tests. You should only use Pillai's trace criterion in this situation." from http://rimarcik.com/en/navigator/manova.html

Box's M is highly sensitive, so unless p < .001 and your sample sizes are unequal, ignore it. However, if significant and you have unequal sample sizes, the MANOVA is not robust (Tabachnick & Fidell, 2001).

If there are many DVs and great discrepancy between cell sample sizes, then there is more potential for distortion of the alpha levels. Look at the sample sizes and sizes of the variances and covariances for the cells:
 * 1) If cells with larger samples have larger variances and covariances, then the alpha level is conservative and the null hypothesis can be rejected confidently.
 * 2) If cells with smaller numbers produce larger variances then beware - the significant test is too liberal. If there is a non-significant result, the null hypothesis can be confidently retained, but significant results are suspect.

Use Pillai's criterion instead of Wilk's lambda or if there is a large n, randomly delete cases from the sample to equalise the numbers in each group, assuming power can be maintained at a sensible level. SPSS provides Pillai's trace just above Wilks's Lambda.

Overall, it seems that using Pillai's is the most sensible and conservative thing to do.

title: Box's M


text:
User talk:U7a

 * Denied. Cross-wiki issues. Diego Grez 23:16, 11 July 2010 (UTC)

 Hello U7a, and welcome to Wikiversity! If you need help, feel free to visit my talk page, or contact us and ask questions. After you leave a comment on a talk page, remember to sign and date; it helps everyone follow the threads of the discussion. The signature icon in the edit window makes it simple. To get started, you may

 * Take a guided tour and learn to edit.
 * Visit a (kind of) random project.
 * Browse Wikiversity, or visit a portal corresponding to your educational level: pre-school, primary, secondary, tertiary, non-formal education.
 * Find out about research activities on Wikiversity.

 * Read an introduction for teachers and find out how to write an educational resource for Wikiversity.
 * Give feedback about your initial observations
 * Discuss Wikiversity issues or ask questions at the colloquium.
 * Chat with other Wikiversitans on #wikiversity-en.

And don't forget to explore Wikiversity with the links to your left. Be bold to contribute and to experiment with the sandbox or your userpage, and see you around Wikiversity! Jtneill - Talk - c 09:44, 9 October 2009 (UTC)

 Hi , I am Percy. Nice to meet you. I love the beach, swimming, fishing, and I am currently doing some research at Wikiversity on oceanography. I am also learning to play piano. What do you like? Can I be your mascot?

Hi Percy, it is nice to hear from you. please tell me how to say to an admin what iam not a spammer, one Evula everytime wants to delete all my pages. i suspect it is personally.

Editing tip - Including categories
i see my friend, about wired GPS some talked in '93. but about WiFi universal ID card i found just here - http://www.reuters.com/article/pressRelease/idUS77301+16-Apr-2009+BW20090416. i really generated it in 2004 year and i see what its starting in America now. i dont know but i was under russian special forces control, i have a political case and had chechenian friends. i have a fiancee in Europe, but the system is making me to work only 3 months for 1 employer, to live 6 months in different countries. i cannot live like this, i need to create my own family in born land. Alexander Kalinins Lazars son, Saint-Petersburg, Russia (talk) 22:03, 12 October 2009 (UTC)

title: User talk:U7a


text: Template:Categories

title: Template:Categories


text: Category:Wikiversity custodianship

title: Category:Wikiversity custodianship


text:
User:EGM6321.f09.Team3.cgs/HW4

= Problem 1 =

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
Consider Legendre differential equation 1 Page 14-2 with n=0, such that the homogeneous solution $$ u_{1}(x)=1 $$

Find
Use Reduction of Order method 2 to find $$ u_{2}(x) $$ (the 2nd homegeneous solution)

Solution
We are given the Legendre Equation

$$(1-x^2)y''-2xy'+n(n-1)=0$$

and we are given that

$$u_1(x)=1$$

and

$$ n=0$$

From Class notes P??-? Eq 1. we know that

$$U_{1}=\int{} \frac{c_{1}}{u_{1}(t)}exp(-1\int {} a_1(s)ds)+C$$

Where $$c_1=exp(k)$$ and $$k$$ is an integration constant.

First we need to rewrite Equation 1 in the form $$ y''+a_1y'+a_0y=0$$

$$ y''+ \frac{-2x}{(1-x^2)}y'+(0)y=0 $$

$$a_1=\frac{-2x}{(1-x^2)}$$

$$\int {} a_1(s)ds)=\int {} \frac{-2s}{(1-s^2)}ds =-2\int {} \frac{s}{(1-s^2)} ds$$

$$\int {} a_1(s)ds)=-2*\frac{1}{2}(log(1-t^2)+C=-(log(1-t^2)+C$$

$$U_{1}=\int{} (\frac{c_{1}}{1}exp(-(-log(1-t^2))+C)dt$$

$$U_{1}=\int{} exp(k)(1-t^2)dt$$

$$U_{1}=xe^k-\frac{1}{3}e^kx^3+C$$

From Class notes P??-? Eq 1. we know that

$$u_2=u_1\int\frac{1}{u_1(x)^2}exp(-(\int a_1(s)ds)dt +C$$

$$u_2=\int exp(--log(1-t^2)+C)dt$$

$$u_2=\int ((1-t^2)+C)dt = x-\frac{1}{3}x^3+Cx$$
 * }

= Problem 2 From King et al Page 28 Problem 1.1a =

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
$$ u_1=e^x$$ (Equation 1) and $$ (x-1)y''-xy'+y=0$$ (Equation 2)

Show
$$u_1 $$ is a solution of the given function and determine $$u_2 $$

Show all steps and derivations used in determining that method is necessary.

Solution
Step 1 - Determine that Reduction of Order Method 0 is not possible.

There is an $$ a_0y $$ term in Equation 2 so Reduction of Order Method 0 is not possible.

Step 2 - Determine if Equation 2 is exact

Condition 1 - Can Equation 2 be written in the form $$ f(x,y,y')y''+g(x,y,y') $$?

$$ \underbrace{(x-1)}_{f(x,y,y')}y''\underbrace{-xy'+y}_{g(x,y,y')}=0$$

Equation 2 meets Condition 1 for exactness

Condition 2 - Can the following 2 equations be satisfied?

let $$p=y'$$

$$ f_{xx} + 2p f_{xy} + p^2 f_{yy} = g_{xp} + p g_{yp} - g_y $$ (Equation 3)

$$ f_{xp} + p f_{yp} + 2 f_y = g_pp $$ (Equation 4)

$$f(x,y,p)=x-1$$

$$f_x=1 $$

$$f_y=f_p=f_{xx}=f_{xy}=f_{xp}=f_{yy}=f_{yp}=0$$

$$g(x,y,p)=-xp+y $$

$$g_x= -p $$

$$g_{xp}=-1$$

$$g_{xx}=g_{xy}=0$$

$$g_y= 1 $$

$$g_{yy}=g_{yp}=0$$

$$g_p= -x $$

$$g_pp= 0

$$

Substituting these numbers into Equations 3 and 4 produces:

$$ f_{xx} + 2p f_{xy} + p^2 f_{yy} = g_{xp} + p g_{yp} - g_y $$ (Equation 3)

$$ 0 + 2p (0) + p^2 (0) = -1 + p (0) - 1$$

$$ f_{xp} + p f_{yp} + 2 f_y = g_pp $$ (Equation 4)

$$0 + p (0) + 2 (0) = 0 $$

Equation 3 is not satisfied.

Step 3 - Use Integrating Factor Method to determing if there is a function $$h(x,y)$$ such that

$$\phi(x,y,y',y'')=h(x,y) + \int f(x,y,p)dp$$

$$\phi(x,y,y',y'')=h(x,y) + \int (x-1)dp$$

$$\phi(x,y,y',y'')=h(x,y) + xp-p$$

Assume $$ h(x)$$ ($$h_y=0$$)

$$g(x,y,p)=\phi_x+\phi_yp=h_x+p+(0)p=h_x+p$$

$$g(x,y,p)=y-xp$$

For exactness

$$y-xp=h_x+p$$

This is not easy solvable, so we move on to the Trial Solution Method

Step 4 - Use Trial Solution Method to find $$u_1$$

Step 4a - try $$ u_1=e^{rx} $$ (where r is a constant)

$$ u_1=e^{rx} $$

$$ u_1'=re^{rx} $$

$$ u_1''=r^2e^{rx} $$

Substituting u_1 for y in Equation 2 results in

$$(x-1)r^2e^{rx} -xre^{rx}+e^{rx}=0$$ (Equation 5)

Simplified, Equation 5 becomes

$$(x-1)r^2-xr+1=0$$

The only constant root (a root that is not a function of x) that satisfies this equation is $$r=1</math so

u_1=e^x

Now that we have proven that u_1=e^x we use Reduction of Order Method 2 to find u_2

Step 5 Use Reduction of Order Method 2 to find u_2

Assume

y=Uu_1

The general for of the homogeneous L2_ODE_VC is

Substitute values above for y, y' and y'' to obtain:

Re-arrange to group factors of U, U' and U' tp obtain:

Since is homog. the U term is equal to 0 leaving

Equation (6)

Let Z=U'

Equation 6 becomes

Re-arranging obtains

Integrate both sides to obtain

where k is an integration constant

Take the exponential of both sides to obtain

where C=exp(k)

Z=U'

Y=Uu_1

)$$

$$ u_2= u_1\int (\frac{1 }{u_1^2} exp[-\int a_1 (s)ds] )dt$$

Given $$u_1=e^x$$ and $$a_1=\frac{-x}{x-1} $$

$$ u_2= e^x\int (\frac{1 }{e^{2t}} exp[-\int \frac{-x}{x-1} (s)ds] )dt$$

$$ u_2= e^x\int (\frac{1 }{e^{2t}} exp[-(-log (t-1))] )dt$$

$$ u_2= e^x\int (\frac{(t-1) }{e^2t} dt$$

$$ u_2= e^x(\frac{1}{e^{2x}}- \frac{x}{e^{2x}}-\frac{1}{2e^{2x}}) $$

$$ u_2= \frac{1}{2e^{x}}-x $$

 * }

Given
$$ u_1=x^{-1}sin x$$ and $$ xy''+2y'+xy=0$$

Find
m & n such that the ODE is exact.

Solution
Step 1 - Determine that Reduction of Order Method 0 is not possible.

There is an $$ a_0y $$ term in Equation 2 so Reduction of Order Method 0 is not possible.

Step 2 - Determine if Equation 2 is exact

Condition 1 - Can Equation 2 be written in the form $$ f(x,y,y')y''+g(x,y,y') $$?

$$ \underbrace{x}_{f(x,y,y')}y''+\underbrace{2y'+xy}_{g(x,y,y')}=0$$

Equation 2 meets Condition 1 for exactness

Condition 2 - Can the following 2 equations be satisfied?

let $$p=y'$$

$$ f_{xx} + 2p f_{xy} + p^2 f_{yy} = g_{xp} + p g_{yp} - g_y $$ (Equation 3)

$$ f_{xp} + p f_{yp} + 2 f_y = g_pp $$ (Equation 4)

$$f(x,y,p)=x$$

$$f_x=1 $$

$$f_y=f_p=f_{xx}=f_{xy}=f_{xp}=f_{yy}=f_{yp}=0$$

$$g(x,y,p)=2p+xy $$

$$g_x= y $$

$$g_{xy}=1$$

$$g_{xx}=g_{xp}=0$$

$$g_y= x $$

$$g_{yy}=g_{yp}=0$$

$$g_p= 2 $$

$$g_pp= 0

$$

Substituting these numbers into Equations 3 and 4 produces:

$$ f_{xx} + 2p f_{xy} + p^2 f_{yy} = g_{xp} + p g_{yp} - g_y $$ (Equation 3)

$$ 0 + 2p (0) + p^2 (0) = -1 + p (0) - x$$

$$ f_{xp} + p f_{yp} + 2 f_y = g_pp $$ (Equation 4)

$$0 + p (0) + 2 (0) = 0 $$

Equation 3 is not satisfied.

Step 3 - Use Integrating Factor Method to determing if there is a function $$h(x,y)$$ such that

$$\phi(x,y,y',y'')=h(x,y) + \int f(x,y,p)dp$$

$$\phi(x,y,y',y'')=h(x,y) + \int (x)dp$$

$$\phi(x,y,y',y'')=h(x,y) + xp$$

Assume $$ h(x)$$ ($$h_y=0$$)

$$g(x,y,p)=\phi_x+\phi_yp=h_x+p+(0)p=h_x+p$$

$$g(x,y,p)=y-xp$$

For exactness

$$y-xp=h_x+p$$

This is not easy solvable, so we move on to the Trial Solution Method

Step 4 - Use Trial Solution Method to find $$u_1$$

Step 4a - try $$ u_1=e^{rx} $$ (where r is a constant)

$$ u_1=e^{rx} $$

$$ u_1'=re^{rx} $$

$$ u_1''=r^2e^{rx} $$

Substituting u_1 for y in Equation 2 results in

$$xr^2e^{rx} +2re^{rx}+xe^{rx}=0$$ (Equation 5)

Simplified, Equation 5 becomes

$$xr^2 +2r+x=0$$

There is no constant root (a root that is not a function of x) that satisfies this equation so

Step 4b - try $$ u_1=xe^{rx} $$ (where r is a constant)

$$ u_1=xe^{rx} $$

$$ u_1'=rxe^{rx}+e^{rx} $$

$$ u_1''=r^2xe^{rx}+ re^{rx}+re^{rx}= r^2xe^{rx}+ 2re^{rx} $$

Substituting u_1 for y in Equation 2 results in

$$r^2x^2e^{rx}+ 2rxe^{rx}+2rxe^{rx}+2e^{rx}+x^2e^{rx}=r^2x^2e^{rx}+ 4rxe^{rx}+2e^{rx}+x^2e^{rx}=0$$ (Equation 6)

Simplified, Equation 6 becomes

$$r^2x^2+ 4rx+2+x^2=x^2(r^2+1)+4rx+2=0$$

There is no constant root (a root that is not a function of x) that satisfies this equation so

Step 4c - try $$ u_1=\frac{e^{rx}}{x} $$ (where r is a constant)

$$ u_1=\frac{e^{rx}}{x} $$

$$ u_1'=\frac {rxe^{rx}-e^{rx}}{x^2}=\frac{re^{rx}}{x}-\frac{e^{rx}}{x^2} $$

$$ u_1''=\frac {r^2xe^{rx}-re^{rx}}{x^2}-\frac{x^2re^{rx}}{x^4}+\frac{2xe^{rx}}{x^4}$$

$$ u_1''=\frac {r^2e^{rx}}{x}-\frac {re^{rx}}{x^2}-\frac{re^{rx}}{x^2}+\frac{2e^{rx}}{x^3}=\frac {r^2e^{rx}}{x}-\frac {2re^{rx}}{x^2}+\frac{2e^{rx}}{x^3}$$

Substituting u_1 for y in Equation 2 results in

$$x ( \frac {r^2e^{rx}}{x}-\frac {2re^{rx}}{x^2}+\frac{2e^{rx}}{x^3}) +2(\frac{re^{rx}}{x}-\frac{e^{rx}}{x^2})+x \frac{e^{rx}}{x} =0$$

$$\frac {r^2e^{rx}}-\frac {2re^{rx}}{x}+\frac{2e^{rx}}{x^2}+\frac{2re^{rx}}{x}-\frac{2e^{rx}}{x^2}+e^{rx} =0$$

$$\frac {r^2e^{rx}} +e^{rx} =0$$(Equation 7) Simplified, Equation 7 becomes

$$r^2 +1=0$$

The root of this equation is $$\sqrt{-1}$$ Which makes $$u_1=e^{ix}$$

From DeMoivre's theorem we know that $$e^{ix}= cos( x) +isin(x)$$

\big_{I DON'T KNOW HOW TO GET TO SIN X/X FROM HERE}

Now that we have proven that $$u_1=\frac{sin x}{x}$$ we use Reduction of Order Method 2 to find $$u_2$$

Step 5 Use Reduction of Order Method 2 to find $$u_2$$

Assume

$$y=Uu_1$$

$$y'=U'u_1 + Uu_1'$$

$$y=Uu_1 + U'u_1'+U'u_1' + Uu_1''$$

$$y=Uu_1 + 2U'u_1'+Uu_1''$$

The general for of the homogeneous L2_ODE_VC is

$$y''+a_1y'+a_0y=0$$

Substitute values above for y, y' and y'' to obtain:

$$(Uu_1 + 2U'u_1'+Uu_1)+a_1(U'u_1 + Uu_1')+a_0Uu_1=0$$

Re-arrange to group factors of U, U' and U' tp obtain:

$$U(u_1+a_1u_1'+a_0u_1)+U'(2u_1'+a_1 u_1)+Uu_1=0$$

Since $$u_1''+a_1u_1'+a_0u_1$$ is homog. the U term is equal to 0 leaving

$$U'(2u_1'+a_1 u_1)+U''u_1=0$$ Equation (6)

Let $$Z=U'$$

Equation 6 becomes

$$Z(2u_1'+a_1 u_1)+Z'u_1=0$$

Re-arranging obtains

$$\frac{Z'}{Z}=-\frac{1}{u_1}(2u_1'+a_1 u_1)$$

$$\frac{Z'}{Z}=-\frac{2u_1'}{u_1}-\frac{a_1 u_1}{u_1}$$

$$\frac{Z'}{Z}=-\frac{2u_1'}{u_1}-a_1$$

Integrate both sides to obtain

$$log (Z)= -2 log (u_1) -\int a_1 (s)ds +k $$ where k is an integration constant

Take the exponential of both sides to obtain

$$exp(log (Z))= exp(-2 log (u_1) -\int a_1 (s)ds +k )$$

$$Z= \frac{C }{u_1^2} exp[-\int a_1 (s)ds] $$ where $$C=exp(k)$$

<Z=U'

$$U=\int (\frac{C }{u_1^2} exp[-\int a_1 (s)ds] ) +C_1$$

$$Y=Uu_1$$

$$Y=u_1(\int (\frac{C }{u_1^2} exp[-\int a_1 (s)ds] ) +C_1)$$

$$Y=C\underbrace{u_1\int (\frac{1 }{u_1^2} exp[-\int a_1 (s)ds] )}_{u_2} +C_1u_1$$)

$$ u_2= u_1\int (\frac{1 }{u_1^2} exp[-\int a_1 (s)ds] )dt$$

Given $$u_1=\frac{sin x}{x} $$ and $$a_1=\frac{2}{x} $$

$$ u_2= \frac{sin x}{x}\int (\frac{t^2 }{ sin^2 t} exp[-\int \frac{2}{s} (s)ds] )dt$$

$$ u_2= \frac{sin x}{x}\int (\frac{t^2 }{ sin^2 t } exp[-(2log (t))] )dt$$

$$ u_2= \frac{sin x}{x}\int (\frac{t^2 }{ sin^2 t }\frac{1}{t^2} dt$$

$$ u_2= \frac{sin x}{x}\int (\frac{1 }{sin^2 t } dt$$

$$ u_2= \frac{sin x}{x}(-cot x)=\frac{sin x}{x}\frac{-cos x}{sin x}=$$

$$ u_2=\frac{-cos x}{x}=$$

 * }

= Problem 4: King 1.3.a =

Given
$$y'' - 2y' + y = x^{3/2}e^x$$

Find
The general solution of $$y(x) = y_H(x) + y_P(x)$$

Solution
First, solve homogeneous equation $$y'' - 2y' + y = 0$$

Reduction of Order Method 0 is not possible, move to step 2

Exactness Condition 1 - Can Equation 2 be written in the form $$ f(x,y,y')y''+g(x,y,y') $$?

Lte p=y'

$$ f(x,y,p)=1 $$

$$ g(x,y,p)=-2p+y $$?

Condition 1 is satisfied, check for Exactness Condition 2

Exactness Condition 2 - Can the following 2 equations be satisfied?

$$

f_{xx} + 2p f_{xy} + p^2 f_{yy} = g_{xp} + p g_{yp} - g_y $$ (Equation 3)

$$ f_{xp} + p f_{yp} + 2 f_y = g_pp $$ (Equation 4)

$$f_x=f_xx=f_xy=f_xp=f_y=f_yy=f_yp=0$$

$$g_y=1$$

$$g_p=-2$$

$$g_x=g_xx=g_xy=g_xp=g_yy=g_yp=g_pp=0$$

If both equations are satisfied, solve for y

$$

0 + 2p (0) + p^2(0) = 0 + p (0) - 1$$

Equation is not satisfied, use Trial Solution Method to find $$u_1$$

Try $$ u_1=e^{rx} $$ (where r is a constant)

Substitute $$u_1$$,$$u_1'$$, and $$u_1''$$ for y in Equation 2

$$ u_1=e^{rx} $$

$$ u_1'=re^{rx} $$

$$ u_1''=r^2e^{rx} $$

Substituting u_1 for y in Equation 2 results in

$$r^2e^{rx} - 2re^{rx} + e^{rx} = 0$$

Simplified, Equation 5 becomes

$$r^2 - 2r + 1 = 0$$

There are 2 roots at $$r=1$$ so $$ u_1=e^{x} $$

Recall that $$a_1=-2$$

$$ u_2= u_1\int (\frac{1 }{u_1^2} exp[-\int a_1 (s)ds] )dt$$

$$ u_2= e^{x}\int (\frac{1 }{e^{2t}} exp[-\int -2 (ds] )dt$$

$$ u_2= e^{x}\int (\frac{1 }{e^{2t}} e^{2t} dt$$

$$ u_2= xe^{x}

Solve equation for u_2then solve for y using the following equation:

To solve for particular solution y_P use the following relationship \bar{W}=

det so are linearly independent.

= Problem 5 - Method of Solving L2-ODE-VC=

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
Some function (Equation 1)

Solve
Solve for y(x)

Solution
Step 1 - Determine whether Reduction of Order Method 0 is possible.

If Reduction of Order Method 0 is not possible, move to step 2

Step 2 - Determine if Equation 2 is exact

Step 2a - Exactness Condition 1

Condition 1 - Can Equation 2 be written in the form ?

If Condition 1 is satisfied, check for Exactness Condition 2 (Step 2b). If not, move on to Step 3.

Step 2b - Exactness Condition 2

Condition 2 - Can the following 2 equations be satisfied?

let p=y'

(Equation 3)

(Equation 4)

If both equations are satisfied, solve for y

If either equation is not satisfied move to Step 3

Step 3 - Use Integrating Factor Method to determing if there is a function h(x,y) such that

Assume h(x) (h_y=0)

For exactness

If it is solveable, check for exactess of the new equation. If the new equation is exact, solve for y. If not, move on to the Trial Solution Method

Step 4 - Use Trial Solution Method to find u_1

Step 4a - try u_1=e^{rx} (where r is a constant)

Substitute u_1,u_1', and u_1'' for y in Equation 2

Simplify equation and determine if there is a root r such that r is a constant (not a function of x)

If there is no constant root (a root that is not a function of x) that satisfies this equation go to Step 4b

Step 4b - try u_1=xe^{rx} (where r is a constant)

Substitute u_1,u_1', and u_1'' for y in Equation 2

Simplify equation and determine if there is a root r such that r is a constant (not a function of x)

If there is no constant root (a root that is not a function of x) that satisfies this equation go to Step 4c

Step 4c - try (where r is a constant)

Substituting u_1,u_1', and u_1'' for y in Equation 2 results in

Substitute u_1,u_1', and u_1'' for y in Equation 2

Simplify equation and determine if there is a root r such that r is a constant (not a function of x)

If there is no constant root (a root that is not a function of x) that satisfies this equation go to Step 4d

Step 4d - try another  Keep trying until a function with a constant root is found.

Now that u_1(x) has been found, use Reduction of Order Method 2 to find u_2 (Step 5)

Step 5 Use Reduction of Order Method 2 to find u_2

Assume

y=Uu_1

The general for of the homogeneous L2_ODE_VC is

Substitute values above for y, y' and y'' to obtain:

Re-arrange to group factors of U, U' and U' tp obtain:

Since is homog. the U term is equal to 0 leaving

Equation (6)

Let Z=U'

Equation 6 becomes

Re-arranging obtains

Integrate both sides to obtain

where k is an integration constant

Take the exponential of both sides to obtain

where C=exp(k)

<Z=U'$$

$$U=\int (\frac{C }{u_1^2} exp[-\int a_1 (s)ds] ) +C_1$$

$$Y=Uu_1$$

$$Y=u_1(\int (\frac{C }{u_1^2} exp[-\int a_1 (s)ds] ) +C_1)$$

$$Y=C\underbrace{u_1\int (\frac{1 }{u_1^2} exp[-\int a_1 (s)ds] )}_{u_2} +C_1u_1$$)

$$ u_2= u_1\int (\frac{1 }{u_1^2} exp[-\int a_1 (s)ds] )dt$$

Solve equation for $$u_2 $$then solve for y using the following equation:

$$y=c_1u_1+c_2u_2$$

 * }

Given
$$ u_1=x^{-1}sin x$$ and $$ xy''+2y'+xy=x$$

Find
Solution for y(x)

Solution
From Problem 2 we have already determined that

$$y_H=c_1u_1+c_2u_2=c_1 \frac{sin x}{x} -c_2 \frac{cos x}{x} $$

To solve for particular solution $$y_P$$ use the following relationship $$

\bar{W}= $$ $$ \begin{bmatrix} u_1 & u_2\\ u_1' & u_2'\end{bmatrix}= $$

$$u_1=\frac{sin x}{x} $$

$$u_1'=\frac{xcos x-sin x}{x^2} $$

$$u_2= -\frac{cos x}{x} $$

$$u_2=-\frac{x(-sin x)-cos x}{x^2}= \frac{x(sin x)+cos x}{x^2} $$

$$ \begin{bmatrix} \frac{sin x}{x} & -\frac{cos x}{x}\\ \frac{xcos x-sin x}{x^2} & \frac{x(sin x)+cos x}{x^2}\end{bmatrix} $$

$$W=\text{det}\bar{W}= \frac{sin x}{x}(\frac{x(sin x)+cos x}{x^2})-\frac{xcos x-sin x}{x^2}(-\frac{cos x}{x})$$

$$W= \frac{xsin^2 x+cos x sinx +xcos^2 x-sin x cos x} {x^3} =\frac{x(sin^2x+cos^2x)}{x^3}=\frac{1}{x^2}$$

det$$\bar{W}\neq0$$ so $$u_1 \text{and} u_2$$ are linearly independent.

$$ \begin{bmatrix} c_1'\\ c_2'\end{bmatrix}=\frac{1}{W} \begin{bmatrix} -u_2f\\ u_1f\end{bmatrix}$$

$$c_1'=\frac{1}{W}(-u_2)(f)={x^2}(-\frac{-cos x}{x})(x)=x^2 cos x $$

$$ c_2'=\frac{1}{W}(-u_2)(f)={x^2}(\frac{sin x}{x})(x)=x^2 sin x $$

$$ c_1= \int x^2 cos x =2x cos x+(x^2-2) sin x $$

$$ c_2= \int x^2 sin x=2x sin x-(x^2-2) cos x $$

$$y(x)=y_H+y_P=c_1e^{x} +c_2xe^{x}+(2x cos x+(x^2-2) sin x)e^{x} +(2x sin x-(x^2-2) cos x)xe^{x} $$

$$y(x)=y_H+y_P=c_1e^{x} +c_2xe^{x}+e^xsinx(x^3-3x^2-2) $$

= Problem 7 =

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
$$ Homework goes here $$

Find
m & n such that the ODE is exact.

Solution
= Problem 8 =
 * }

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
$$ Homework goes here $$

Find
m & n such that the ODE is exact.

Solution
= Problem 9 =
 * }

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
$$ Homework goes here $$

Find
m & n such that the ODE is exact.

Solution
= Problem 10 =
 * }

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
$$ Homework goes here $$

Find
m & n such that the ODE is exact.

Solution
= Problem 11 =
 * }

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
$$ Homework goes here $$

Find
m & n such that the ODE is exact.

Solution
= Problem 12 =
 * }

{| class="toccolours collapsible collapsed" width="80%" style="text-align:left" !Please click on "show" to see the problem solution

Given
$$ Homework goes here $$

Find
m & n such that the ODE is exact.

Solution
= Contributing Members =
 * }

title: User:EGM6321.f09.Team3.cgs/HW4


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text:
User:Egm6321.f09/Report table/Best of HW3

 I don't look through all reports or problems. So if you catch any errors, particularly in the "best solution", do let the TA and I know. Egm6321.f09 17:34, 9 October 2009 (UTC) Latest archived version (possibly with comments): Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7 Team8

Current version (possibly with comments): Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7 Team 8

 Best solution: (reports will be hyperlinked to archived version when grading is complete)

Problem 1: Team1 - Clear solution, numbered equations to refer to, and edit links for each problem. Problem 2: Team7 - Clear solution, correct answer. Problem 3: Team 3 - direct and concise. Problem 4: Team4 - Good clear solution, no missing terms. Problem 5: Team1 and Team8 - proper differentiation and clear steps Problem 6: Team 2 - Very clear. No teams made the diffeQ exact using an integrating factor. Problem 7: Team 6 - concise and straight forward. Problem 8: Team 1 - very thorough solution. Problem 9: Team 6 - concise and legible. Problem 10: Team 6 - very thorough and illustrative. Problem 11: All teams did quality work. Problem 12: All teams did quality work. Problem 13: Team 1 - included matlab code and full solution.

 Best of  HW1 HW2 HW3 HW4 HW5 HW6 HW7


text:
User:Egm6321.f09/Report table/Best of HW4

 I don't look through all reports or problems. So if you catch any errors, particularly in the "best solution", do let the TA and I know. Egm6321.f09 17:34, 9 October 2009 (UTC)

Latest archived version (possibly with comments): Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

Comments for selected problems provided via Google docs: Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

Current version (possibly with comments): Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

 A number of selected problems were graded in detail; other problems were verified that they were done. Egm6321.f09 01:08, 26 November 2009 (UTC)

 Best solution:  Problem 1: Team 3 - Clearly written and concise. Problem 2: Team 1 - Complete - solved for both homogeneous solutions, and particular solution using VOP and alternative method.

 Best of  HW1 HW2 HW3 HW4 HW5 HW6 HW7


text:
User:Egm6321.f09/Report table/Best of HW5

 I don't look through all reports or problems. So if you catch any errors, particularly in the "best solution", do let the TA and I know. Egm6321.f09 17:34, 9 October 2009 (UTC)

Latest archived version (possibly with comments): Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

Comments on selected problems on Google docs: Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

Current version (possibly with comments):

Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

 A number of selected problems were graded in detail; other problems were verified that they were done. Egm6321.f09 01:08, 26 November 2009 (UTC)

Best Solution:

Problem 1: Everyone did a good job writing up the Laplacian in spherical coordinates ---Egm6321.f09.TA 04:32, 12 November 2009 (UTC)

 Best of  HW1 HW2 HW3 HW4 HW5 HW6 HW7


text:
User:Egm6321.f09/Report table/Best of HW6

 I don't look through all reports or problems. So if you catch any errors, particularly in the "best solution", do let the TA and I know. Egm6321.f09 17:34, 9 October 2009 (UTC)

Latest archived version (possibly with comments): Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

Comments on selected problems on Google docs: Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

Current version (possibly with comments):

Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

 A number of selected problems were graded in detail; other problems were verified that they were done. Egm6321.f09 01:08, 26 November 2009 (UTC)

Best Solution: Problem 2: Team 1 Problem 3:Team 1 Problem 5:Team 4 Problem 10:Team 5 Problem 13:Team 4 Problem 15:Team 1

 Best of  HW1 HW2 HW3 HW4 HW5 HW6 HW7


text:
User:Egm6321.f09/Report table/Best of HW7

 I don't look through all reports or problems. So if you catch any errors, particularly in the "best solution", do let the TA and I know. Egm6321.f09 17:34, 9 October 2009 (UTC)

Latest archived version (possibly with comments): Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

Comments on selected problems on Google docs: Team1 Team2 Team3 Team4 Team5 Team6 Team7

Current version (possibly with comments):

Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7

 A number of selected problems were graded in detail; other problems were verified that they were done. Egm6321.f09 01:08, 26 November 2009 (UTC)

Best Solution: Problem 1/2 (depending on numbering): Team 1 Problem 4:Team 4 concise and clear Problem 5:Team 1

 Best of  HW1 HW2 HW3 HW4 HW5 HW6 HW7


text: Category:Wikiversity bureaucratship

title: Category:Wikiversity bureaucratship


text:
User:CallahanCarlin

=Analytical Writing=

Personal Essay (REVISED)
Callahan Carlin Analytical Writing Personal Essay

When my grandfather was diagnosed with lung cancer his doctor didn’t even breach the subject of Naturopathic medicine. I spoke with my grandmother and suggested looking into the matter to see if there were any natural vitamins or supplements that he could be taking to help with nausea or the other symptoms that accompany Chemotherapy. My grandmother was very hesitant to even speak with the doctor, because he hadn’t suggested it first. She felt if there were any alternative options which would help; the doctor would have mentioned them. Is this really the case? In the end she chose not to pursue the issue. I can’t help but to wonder if it would have made a difference. Should my grandmother have been so blind in her faith?

Every day someone puts their life in the hands of a doctor somewhere. I have to ask myself if the doctors in today’s society have their patient’s best interests at heart. Of course, it is a case to case matter and it is impossible to categorize such a statement. However, when we examine the situation this country has created for itself and its healthcare, there are a number of variables that come into play. I have find myself constantly questioning the positions in which doctors are placed. I believe America makes it very difficult for doctors to be completely honest and compassionate. Doctors are typically over worked, over stretched and stressed. This makes an environment in which deceit can prevail. Insurance companies and pharmaceutical companies certainly do not have the best interest of the patient at heart. How can they? All they are required to see is the blank, generic face of the disease they are poking and prodding to find a ‘cure’. You cannot simply treat the disease, you must treat the person. Every human being is unique, and every one responds differently to medicine.

Many doctors around the country are supporting prescription drugs because the pharmaceutical companies paint them a beautiful picture of how wonderful these drugs are. Now, I’m not trying to say that every doctor in the country is ignorant, corrupt or money hungry enough to simply push any drug that someone puts in their hand. However, I don’t believe that they are all completely innocent. After all, money talks, and Pharmaceutical Companies make a huge amount of money every year. In 1999, the average of the fifteen top companies was $12,272,000! At the top of the list, Merck made $32,714,000. (Richard Laing, Department of International Health, School of Public Health, Boston University, Presented @ Durban South Africa AIDS Conference 11 July 2000 ).

Recently a CEO was convicted of trying to illegally market a drug for an unapproved use. “On Tuesday a federal jury convicted former InterMune CEO W. Scott Harkonen of mail fraud based on a 2002 press release about the company's drug Actimmune. Federal prosecutors argued that the press release was part of a scheme to illegally promote Actimmune as a treatment for idopathic pulmonary fibrosis (IPF), a use that had not been approved by the Food and Drug Administration. (While doctors are free to prescribe drugs for such ‘off-label’ uses, manufacturers are not allowed to market drugs for unapproved applications.) After Harkonen's conviction, an FDA official declared that ‘today's verdict demonstrates that pharmaceutical executives will not be able to hide behind a corporate shield when they promote drugs using false or fraudulent information.’ ” (Sullum)

I think it is a wonderful sign that the judicial system is finally cracking down on some of the Pharmaceutical companies, who appear to have come to think they run this country and can do whatever they like. But if you read between the lines here, there is still a disturbing situation that is perfectly legal. “While doctors are free to prescribe drugs for such ‘off-label’ uses…” Why are doctors allowed to prescribe any drug they wish to anyone for “off-use” applications? Let’s not be so naïve as to think that corruption in the medical field does not exist. Hypothetically speaking, a doctor who is corrupt could issue any drug he/she likes to anyone who may or may not legitimately require it, purely for his or her own benefit. Let’s remember how much those pharmaceutical companies make each year; they would certainly be willing to share with the physicians who are contributing to their income.

Why is it also legal for a prescription drug to be sold for one application (for example say, Restless Leg Syndrome, with a side effect of fatigue), and if it doesn’t sell for this function, the drug companies turn around and market it as a sleep aide. On a related note, why is it perfectly acceptable for a drug which is meant to treat depression have a side effect of suicidal thoughts? Is that not defeating the purpose?

Americans are constantly being bombarded by advertisements for prescription drugs. From a young age the media, together with these pharmaceutical companies are programming the viewers to continually question their health. I find myself constantly wondering if I have the next trendy disease. Do I have restless leg syndrome? My legs sometimes tingle. Do I have ADD or ADHD? Many times I find it hard to concentrate. Do I have seasonal depression? I often find myself less than in a fantastic mood during the dark winter months. From what I see on TV I should be on several prescription drugs. Are we creating a nation of over medicated hypochondriacs? The next time you watch TV count how many prescription drug commercials air, and read the fine print. (SEE CARTOON) http://www.frankwbaker.com/drugads.htm

“4.65-billion Amount of consumer advertising spent by the pharmaceutical industry in 2005 $5.29-billion Amount of consumer advertising spent by the pharmaceutical industry in 2006 $4.20 Amount of additional sales each $1 in advertising generates 16 Average number of hours of prescription drug advertising Americans see each year” (TNS Media Intelligence, Kaiser Family Foundation, Journal of Health Communication via http://www.frankwbaker.com/drugads.htm)

These are only a couple issues that should be scrutinized and investigated regarding the pharmaceutical conspiracy in America. The problem is this infection permeates the government of this country. Unfortunately when I was asked to explore solutions to this crisis I was forced to imagine the government as it would be in a ‘perfect world’. This made me sick. Why should I have to imagine a country that is ‘for the people, by the people’? I was under the impression I lived and breathed this concept. In a perfect world the government would explore any form of medicine that would benefit its people. My grandpa’s doctor could have with ease told him what natural products would help arm him for the battle he was waging. I would like to believe that a large part of the reason doctors are not suggesting alternative medicine to aid prescription drugs is the fact that these methods are poorly researched. I would much rather put my faith in this honest reason than in a theory that involves corruption and deceit. In a perfect world the government would subsidize the research for Naturopathic medicine to better serve their people and in turn benefit from a healthier country. The sad truth is, this world is far from perfect.

The more I look into this subject the more helpless I feel. So many people legitimately need prescription drugs to maintain their health. While on the other hand, we have a nation full of drug abusers and legal drug pushers. How can we as a country eliminate the problems and corruption within this system when it is infected on so many different levels? Implementing Naturopathic remedies and making them more available through Health Insurance is only a meager effort in changing this ill system. America is diseased and prescription drugs are only one of the plagues infecting her. What can one person do to heal her infirmities?

Works Citied:

Baker, Frank. "Prescription Drug Marketing ads listed below were found in recent issues of." Media Literacy Clearinghouse: Resources for K-12 Educators. 04 May 2009. Web. 17 Nov. 2009. . Laing, Richard. "Pharmaceutical Company Profits and Salaries." ACT UP/New York. 1990. Web. 17 Nov. 2009. . Sullum, Jacob. "A Pharmaceutical Company's Truthful Fraud - Hit & Run :." Reason Magazine. 1 Oct. 2009. Web. 17 Nov. 2009.

Self Assessment
This class was really an eye-opener for me. Throughout the course, with all the discussions I was really forced to analyze the world around me. The group projects really inspired me to become more informed about the things that are happening constantly around me. I did well when it came to writing the personal essay. I think I could have pushed my part of the group project a little further but overall I think it went well. In general, I’m not usually a huge fan of group projects and I would have liked to perhaps have a couple more personal assignments. I liked that there was a lot of discussion through the quarter within the class; it was good to be able to hear a wide variety of opinions and personal experiences from my fellow students. I really enjoyed hearing about the other groups issues and being able to discuss them.

title: User:CallahanCarlin


text:
User:VTKIEBURTZ

=Humanities I/The Commons=

title: User:VTKIEBURTZ