OpenLLM-France/wikimedia huggingface dataset:
# Fundamental theorem of calculus/Riemann/Section
## Definition

Let $I$ denote a real interval, let
    $f\colon I\longrightarrow \mathbb {R}$
denote a Riemann-integrable function, and let $a\in I$. Then the function
    $I\longrightarrow \mathbb {R} ,x\longmapsto \int _{a}^{x}f(t)\,dt,$
$f$
$a$
This function is also called the indefinite integral.
The following statement is called Fundamental theorem of calculus.

## Theorem

Let $I$ denote a real interval, and let
    $f\colon I\longrightarrow \mathbb {R}$
denote a continuous function. Let $a\in I$, and let
    $F(x):=\int _{a}^{x}f(t)\,dt\,$
denote the corresponding integral function. Then $F$ is differentiable, and the identity
    $F'(x)=f(x)\,$
holds for all
$x\in I$

### Proof

Let $x$ be fixed. The difference quotient is
    ${\frac {F(x+h)-F(x)}{h}}={\frac {1}{h}}{\left(\int _{a}^{x+h}f(t)\,dt-\int _{a}^{x}f(t)\,dt\right)}={\frac {1}{h}}\int _{x}^{x+h}f(t)\,dt\,.$
We have to show that for $h\rightarrow 0$, the limit exists and equals $f(x)$. Because of the Mean value theorem for definite integrals, for every $h$, there exists a $c_{h}\in [x,x+h]$ with
    $f(c_{h})\cdot h=\int _{x}^{x+h}f(t)dt\,,$
and therefore
    $f(c_{h})={\frac {\int _{x}^{x+h}f(t)dt}{h}}\,.$
For $h\rightarrow 0$, $c_{h}$ converges to $x$, and because of the continuity of $f$, also $f(c_{h})$ converges to $f(x)$.
$\Box$
# Paideia High School/Der Erlkönig
## Exordium

WHO rides there so late through the night dark and drear? The father it is, with his infant so dear; He holdeth the boy tightly clasp'd in his arm, He holdeth him safely, he keepeth him warm.
"My son, wherefore seek'st thou thy face thus to hide?" "Look, father, the Erl-King is close by our side! Dost see not the Erl-King, with crown and with train?" "My son, 'tis the mist rising over the plain."
"Oh, come, thou dear infant! oh come thou with me! Full many a game I will play there with thee; On my strand, lovely flowers their blossoms unfold, My mother shall grace thee with garments of gold."
"My father, my father, and dost thou not hear The words that the Erl-King now breathes in mine ear?" "Be calm, dearest child, 'tis thy fancy deceives; 'Tis the sad wind that sighs through the withering leaves."
"Wilt go, then, dear infant, wilt go with me there? My daughters shall tend thee with sisterly care My daughters by night their glad festival keep, They'll dance thee, and rock thee, and sing thee to sleep."
"My father, my father, and dost thou not see, How the Erl-King his daughters has brought here for me?" "My darling, my darling, I see it aright, 'Tis the aged grey willows deceiving thy sight."
"I love thee, I'm charm'd by thy beauty, dear boy! And if thou'rt unwilling, then force I'll employ." "My father, my father, he seizes me fast, Full sorely the Erl-King has hurt me at last."
The father now gallops, with terror half wild, He grasps in his arms the poor shuddering child; He reaches his courtyard with toil and with dread,-- The child in his arms finds he motionless, dead.
<1782>

## Interpretation

Interpretation content and notes here.

## Erudition

Wikisource: The Alder King
Wikipedia: Der Erlkönig
# Paideia High School/Common Sense

Common Sense by Thomas Paine
Wikisource: Common Sense
# ICT in Education/Change Projects/2015B Bangladesh ICT based Teaching-Learning

Title of the change project : ICT Based Teaching – Learning Practices at College level Education in Bangladesh through Digital Content Development
Change agent : Dr. Lokman Hossain and A K M Shah Alam
Email : drlokmanhossain@yahoo.com and alamnaem@gmail.com
Name of the organisation : Dhaka
Country : Bangladesh
Started date :
Status (finished/ongoing) :
1. Background of the project (problem):
2. Objectives : In a developing country like Bangladesh, education especially college level education must be the mainstay for attaining knowledgeable human resource, which would ultimately be the engine of national upliftment. Effective socially oriented and need-based education should be given at college level. In Bangladesh, owing to its far-reaching in flounce in future life, college education is playing a very important role in student’s total endeavour. The students who are studying in college level institutions without helpful assistance may be dropout, which results in massive decrease in ICT and technology-based manpower. It may be considered as wastage in education that will hamper the ultimate success of our planning. The fundamental role of a teacher is to facilitate learning and to create an autonomous learner–one who can continue to learn by himself/herself, especially with the assistance of ICTs. However, there is a definite deficit in knowledge, skills and attitudes needed to use ICT as an effective teaching-learning tool.
It is quintessential to create learner friendly environment by adopting ICT and Pedagogical development, curriculum and ensuring their efficient use in the classroom and provision of instructional materials as some of the priorities for college education. ICT provides a unique opportunity in addressing them and other challenges faced by students by making teaching- learning interesting and enterprising. NAEM and Dhaka College have been working for several years with the GoB in appropriate use of ICTs, an effective initiative as change project, in education system in Bangladesh. So, the teachers must realize to be realized that if it would be able to conduct multimedia based sessions in colleges a learning friendly environment would be ensured in the education arena.
3. Stakeholders :
4. List of Activities :
5. Expected result ;
6. Actual result :
7. The Project organisation :
Last Updated :
# ICT in Education/Change Projects/2015B Cambodia Create worldwide E-learning

Title of the change project :
Change agent :
Email :
Name of the organisation :
Country :
Started date :
Status (finished/ongoing) :
1. Background of the project (problem):
2. Objectives :
3. Stakeholders :
4. List of Activities :
5. Expected result ;
6. Actual result :
7. The Project organisation :
Last Updated :
# ICT in Education/Change Projects/2015B Cambodia Media literacy in teaching learning

Title of the change project :
Change agent :
Email :
Name of the organisation :
Country :
Started date :
Status (finished/ongoing) :
1. Background of the project (problem):
2. Objectives :
3. Stakeholders :
4. List of Activities :
5. Expected result ;
6. Actual result :
7. The Project organisation :
Last Updated :
# ICT in Education/Change Projects/2015B Cambodia Modern and Tradidtional Teaching

Title of the change project :
Change agent :
Email :
Name of the organisation :
Country :
Started date :
Status (finished/ongoing) :
1. Background of the project (problem):
2. Objectives :
3. Stakeholders :
4. List of Activities :
5. Expected result ;
6. Actual result :
7. The Project organisation :
Last Updated :
# ICT in Education/Change Projects/2015A Video production

Will be updated in May 2015
Title of the change project: Video production
Country: Cambodia
Started date
Status (finished/ongoing)
Last Updated on
1. Background
2. Objectives
3. Stakeholders
4. The Scope of the project
5. Activities
6. Expected or final result
7. The Project organization
# ICT in Education/Change Projects/2015B Bangladesh ICT Base Teaching - Learning

Title of the change project :
Change agent :
Email :
Name of the organisation :
Country :
Started date :
Status (finished/ongoing) :
1. Background of the project (problem):
2. Objectives :
3. Stakeholders :
4. List of Activities :
5. Expected result ;
6. Actual result :
7. The Project organisation :
Last Updated :
# ICT in Education/Change Projects/2015B Bangladesh Use of Web Quest and Map games

Title of the change project : Use of Web Quest and Map games in Social Science classes
Change agent : Selina
Email : Selina Banu@yahoo.com
Name of the organisation : institute of Education and Research (IER)
Country :Bangladesh
Started date :
Status (finished/ongoing) : planning stage
1. Background of the project (problem): Students learn best when they construct the knowledge. According to Sunal and Haas (2002), Web Quests are problem-solving activities for students that incorporate the Internet, computer-based materials, and other available resources. Web Quests (WQ) also have the ability to integrate on-line resources with student-centered, activity-based learning. In social science, Web Quests provide the opportunity for students to actively engage in learning by connecting their interests with various content areas. According to Lipscomb(2003), this activity is “gaining popularity with teachers and students for its ability to interact with on-line resources” and connect it to writing activities (p.152). From its inception in 1995 by Bernie Dodge and Tom March, San Diego State University, Web Quests (WQ) have become an effective method of incorporating technology with educational concepts.
2. Objectives : By using WQ teacher will be able to create student-centered environment in social science classes
* Teacher can combine technological knowledge, pedagogical knowledge and content knowledge in their social science classes
* With the help of web quest student will be able to: Learn with enjoyment; Solve their problems themselves; analyze the social science problems.
3. Stakeholders : ·Students of grade 6 and 7 of junior secondary school in Bangladesh.
– In this grades History, geography, economics, political science and sociology are treated as an one integrated subject, that is Bangladesh and Global studies
– It is compulsory for all students
– They do not have any public exam in that grade
* SocialScience Teachers
4. List of Activities : Activities:
· The project will be conducted in social science classes VI to VII in laboratory school or in one urban school in Dhaka, Bangladesh.
· Meet and train the subject teachers to acquaint with WQ and map-games as an ICT use in social science classes.
· Classes will be initially conducted by four students of BEd level (6th semester) of institute of Education and Research (IER) who have completed teaching social science course and trained on use of WQ and map-games in the classroom activities using ICT with pedagogy based on national curriculum. This activity will be replicated by the subject teachers.
· Prepare an observation check list. Subject teacher and I will observe the classes. Talk to the students, give feedback to the teachers and evaluate the teaching learning activities.
5. Expected result ;
6. Actual result :
7. The Project organisation :
Last Updated :
# ICT in Education/Change Projects/2015A Promoting climate change education using ICT

Change agent
Email
Name of the organization
Title of the change project: Promoting climate change education using ICT
Country: Vietnam
Started date: August 2015
Status (finished/ongoing) ongoing
Last Updated on
1. Background
2. Objectives
3. Stakeholders
4. The Scope of the project
5. Activities
6. Expected or final result
7. The Project organization
# ICT in Education/Change Projects/2015B Bangladesh Enhancing Performance

Title of the change project : Enhancing Performance of Head teachers by Ensuring Digital Management Inrofmation Systems for Quality Education at Secondary Level
Change agent : Saroaut Noor
Email : noorphysics@gmail.com
Name of the organisation :
Country : Bangladesh
Started date :
Status (finished/ongoing) :
1. Background of the project (problem):
2. Objectives :
3. Stakeholders :
4. List of Activities :
5. Expected result ;
6. Actual result :
7. The Project organisation :
Last Updated :
# IT Service and Support/Customer Management

This lesson introduces Customer Management. Activities include .

## Objectives and Skills

Objectives and skills for Customer Management certification include::

## Readings

* Wikipedia: Customer experience

## Activities

* Use the Discuss page to post comments and questions regarding this lesson.
* Review the lesson summary, key terms, review questions and flashcards below.

## Review Questions

Click on a question to see the answer.
# IT Service and Support/Communication Skills

This lesson introduces communication skills. Activities include .

## Objectives and Skills

Objectives and skills for communication skills include:

## Readings

* Wikipedia: Communication
* Wikipedia: Communications training
* Wikipedia: Business communication
* Wikipedia: Soft skills
* Wikipedia: Active listening
* Wikipedia: Nonverbal communication
* Wikipedia: Body language
* Wikipedia: Teamwork

## Multimedia

* Watch YouTube: Call Center Training - Phone Etiquette
* View SlideShare: Developing Effective Communication Skills

## Activities

* Research professional telephone communication skills. Describe how to answer a call, place a call on hold, transfer a call, take a message, and complete a call.
* Use the Discuss page to post comments and questions regarding this lesson.
* Review the lesson summary, key terms, review questions and flashcards below.

## Key Terms
### automatic call distributor

    A device or system that distributes incoming calls to a specific group of terminals that customer service agents use.

### empathy

    The capacity to recognize emotions that are being experienced by another sentient or fictional being.

### flexibility

    The extent to which a person can cope with changes in circumstances and think about problems and tasks in novel, creative ways.

### interpersonal skills

    The skills a person uses to communicate and interact with others, including persuasion, active listening, delegation, and leadership.

### private branch exchange (PBX)

    A telephone exchange that serves a particular business or office, as opposed to one that a common carrier or telephone company operates for many businesses or for the general public.

### proactivity

    Anticipatory, change-oriented and self-initiated behavior acting in advance of a future situation, rather than reacting to it.

## Review Questions

Click on a question to see the answer.
# IT Service and Support/Introduction

This lesson introduces IT Service Management by looking at customer service in general, and IT service management in particular. Activities include .

## Objectives and Skills

Objectives and skills for IT Service Management certification are covered in detail later in the course. This lesson helps you:
* Understand customer service and IT service management terminology.

## Readings

* Wikipedia: Technical support
* Wikipedia: Service desk (ITSM)
* Wikipedia: Help desk
* Wikipedia: Virtual help desk
* Wikipedia: Customer service
* Wikipedia: Customer service training

## Activities

* Use the Discuss page to post comments and questions regarding this lesson.
* Review the lesson summary, key terms, review questions and flashcards below.

## Key Terms
### break-fix

    A type of technical support where customers pay for support as incidents occur.

### call center

    A centralized office used for the purpose of receiving or transmitting a large volume of requests by telephone.

### champion

    Someone who fights on another's behalf.

### contact center

    A central point of any organization from which all customer contacts are managed, including telephone, email, online chat, fax, and instant message.

### customer

    The recipient of a good, service, product, or idea, obtained from a seller, vendor, or supplier for monetary or other valuable consideration.

### expeditor

    Someone who facilitates a process.

### expert

    A person with extensive knowledge or ability based on research, experience, or occupation in a particular area of study.

### help desk

    A resource intended to provide the customer or end user with information and support related to a company's or institution's products and services.

### incident

    A disruption or potential disruption in service availability or quality.

### interpersonal skills

    The skills a person uses to communicate and interact with others, including persuasion, active listening, delegation, and leadership.

### knowledge base

    An information repository that provides a means for information to be collected, organized, shared, searched and utilized.

### leader

    Someone who organizes a group of people to achieve a common goal.

### problem

    The underlying cause of one or more incidents.

### service desk

    Provides a single point of contact to meet the communication needs of both Users and IT employees for incidents and service requests.

### single point of contact (SPOC)

    A point of contact (POC) or single point of contact (SPOC) is a person or a department serving as the coordinator or focal point of information concerning an activity or program.

### service request

    A routine request for services.

### technical support

    A range of services by which organizations provide assistance to users of technology products and services.

### user

    A person who interacts with a system, to enable its operation, or to utilize its function.

### vendor

    A supplier of goods or services.

## Review Questions

Click on a question to see the answer.
# IT Service and Support/Troubleshooting

This lesson introduces Troubleshooting. Activities include .

## Objectives and Skills

Objectives and skills for Troubleshooting certification include::

## Readings

* Wikipedia: Troubleshooting
* Wikipedia: Problem solving
* Wikipedia: RPR problem diagnosis

## Activities

* Use the Discuss page to post comments and questions regarding this lesson.
* Review the lesson summary, key terms, review questions and flashcards below.

## Review Questions

Click on a question to see the answer.
# IT Service and Support

IT Service and Support provides customers or end users with information and support related to an organization's information technology products and services. These support activities are collectively referred to as help desk or service desk functions, and are performed as a subset of IT Service Management (ITSM).
This course is comprised of (n) lessons on IT service and support. Each lesson includes a combination of Wikipedia readings, YouTube videos, and hands-on learning activities. The course also assists learners in preparing for corresponding HDI and ITIL certifications.

## Preparation

This is a third-semester, college-level course. Learners should already be familiar with introductory computer concepts and computer support concepts.

## Lessons

* Introduction
* Communication Skills
* Troubleshooting
* Customer Management
* Incident Management

## Multimedia

* YouTube: Introductory Nugget: HDI Desktop Support DST HDI-DST

## See Also

* HDI
* ITIL
* IT Service Management

## External Links

* EdX: IT Support Fundamentals
# Menomonie, Wisconsin History/Supernatural and Folklore

LepusBrachyurus
AlyssaIsNerdy
Dovakhaleesi
# Menomonie, Wisconsin History/ReggieIsLife
## Summary

Menomonie, unsurprisingly, does not have a lot of crime. However, that doesn’t mean that this town doesn’t have murder or a robbery in it’s history. Just this year there was a non-fatal stabbing after a hateful argument between a white man and a black man. Menomonie has a police department with 27 officers that apparently answer about 16,000 calls a year. Perhaps the worst crime that I found was the torture killing of a 16-year old Muslim boy in 1995 by his cousins.

## Robbery, Theft, and Burglary

There have been a few robberies in the history of Menomonie. The Kraft State Bank was robbed in 1931 on October 20th. What is a lot more common though is theft and burglary.

## Murders

While there haven't been many murders in the history of Menomonie, they have happened, like the example with the Muslim boy. there has been many clothes found in the wood of menomonie.

## Drugs and Alcohol

One of the most common crimes in Menomonie is Underage drinking and drugs.

## External Links

* ↑ New York Times. (1995). New York Times. Retrieved from: http://www.nytimes.com/1995/11/10/us/torture-killing-of-youth-stuns-small-town.html
* ↑ City Data. (2015). city-data. Retrieved from: http://www.city-data.com/crime/crime-Menomonie-Wisconsin.html
# Menomonie, Wisconsin History/Sports at UW-Stout

Intro will be migrated here when complete.

## Individual Projects:

Menomonie, Wisconsin History/Benund1
# Menomonie, Wisconsin History/SarahBeth19

Under Construction for Course project. Composition 101
The Tainter family is one of the most well-known families in Menomonie, Wisconsin
Menomonie, Wisconsin History

## External Link

Mabel Tainter Website
# UTPA STEM/CBI Courses/Physics (General)

Topics
Projectile Motion
Torque
Work & Energy
# UTPA STEM/CBI Courses/Probability and Statistics

Courses
Binomial Distribution (Anahit Galstyan)
Binomial Distribution (Dr. Yanev)
Statistics
Statistical Inference on Mean
# Numerical Analysis/Newton's method exercises

In this section we are going to look at a method for approximating solutions to equations. We all know that equations need to be solved on occasion and in fact we’ve solved quite a few equations ourselves to this point. we were able to actually find the solutions, but it’s not always possible to do that exactly and/or do the work by hand. That is where this application comes into play. So, let’s see what this application is all about.
Let’s suppose that we want to approximate the solution to f(x$_0$) and let’s also suppose that we have somehow found an initial approximation to this solution say, x0. This initial approximation is probably not all that good and so we’d like to find a better approximation. This is easy enough to do. First we will get the tangent line to f(x) at x0.
y=f(x$_0$)+f'(x$_0$)(x-x$_0$)
Example:
1)Find a nonzero root of equation x$^2$-sin x using newton's method.
Solution:
Let us take our initial guess as .5
f'(x)=2x-cos x.
now we will use newton's formula to find x$_2$=x$_1$-f'(x$_1$)f(x$_1$)
x$_2$=.5-sin(.5)2(.5)-cos(.5)=2.374
In this way we get x$_3$=1.4702,x$_4$=1.0594,x$_5$=0.9057,x$_6$=0.8727,x$_7$=0.8766,x$_8$=0.8767
2)Find an approximation to 5$^{1/2}$ to ten decimal places with starting point as 2.
5$^{1/2}$ is the root of f(x)=x$^2$-5
so now using the formula,x$_2$=x$_1$-f'(x$_1$)f(x$_1$)
we get,x$_1$=2
x$_2$=2.25
x$_3$=2.236111111111
x$_4$=2.236067977915
x$_5$=2.236067977499
x$_6$=2.236067977499
Exercise
Use Newton's method to approxmate the zero's of function f(x) = x$^3$+2x+2
Solution:
0.358
Algorithm Failures: In some cases the conditions on function necessary for convergence are satisfied, but the point chosen as the initial point is not in the interval where the method converges. In such cases a different method, such as bisection, should be used to obtain a better estimate for the zero to use as an initial point.
Example:Use x$_0$=1 to find the approximation to the solution to f(x)=x$^{1/3}$ .
using Newton's Formula x$_{n+1}$=-2x$_n$.
x$_1$=-2
x$_2$=4
x$_3$=-8
x$_4$=16 ..
Because each step produces new approxmation that is far from the root , method fails.
Exercise
Find the roots of the polynomial f(x)=e$^x$-2x with starting point as 1
Solution:
Method fails