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“The speculators are buying what does not actually exist (it is being oversold on paper) with money they don’t actually have (being allowed to use 5% of the value to leverage the rest).

If this seems right to you, then you need to recheck the principles of sound and legal business, financing, banking and prudent lending practices.”

– cricketdiane quote from 06-23-08

After watching President Obama at the business roundtable, it occurred to me that there are educational resources available online but most of the people who could spend the time to use them because they are homeless, unemployed, underemployed or “just plain broke,” don’t have access to them.

However, short of putting laptops and wifi in the hands of people living in the tent cities across America and computer labs in every homeless shelter – it seems like the rest of us could start doing a few things.

First, here are some of the online resources –

http://ocw.mit.edu/OcwWeb/web/home/home/index.htm

MIT Online CourseWare

&***

Stanford offers free CS, robotics courses
September 17th, 2008

Stanford University has launched a series of 10 free, online computer science (CS) and electrical engineering courses. The courses span an introduction to computer science and an introduction to artificial intelligence and robotics, among other topics.

The free courses are being offered “to students and educators around the world” under the auspices of Stanford Engineering Everywhere (SEE). Each course comprises downloadable video lectures, handouts, assignments, exams, and transcripts.

The courses are nearly identical to what’s offered to enrolled Stanford students, according to the University. However, those taking courses through SEE are not eligible to receive Stanford credit for them.

Course participants do not register, and have no direct contact with Stanford instructors or professors. They do, however, have the ability to communicate online with other SEE students. A detailed SEE FAQ is available here.

The University says SEE’s initial courses include “one of Stanford’s most popular engineering sequences: the three-course Introduction to Computer Science taken by the majority of Stanford undergraduates, and seven more advanced courses in artificial intelligence and electrical engineering.”

Specifically, SEE’s first 10 courses are…

* Introduction to Computer Science:
o Programming Methodology — CS106A
o Programming Abstractions — CS106B
o Programming Paradigms — CS107
* Artificial Intelligence:
o Introduction to Robotics — CS223A
o Natural Language Processing — CS224N
o Machine Learning — CS229
* Linear Systems and Optimization:
o The Fourier Transform and its Applications — EE261
o Introduction to Linear Dynamical Systems — EE263
o Convex Optimization I — EE364A
o Convex Optimization II — EE364B

Course videos can be viewed using YouTube, iTunes, Vyew, WMV Torrent, and MP4 Torrent. Here, for example, is lecture 1 of the Introduction to Robotics course, as a YouTube video:

The SEE courses have been released under a Creative Commons license, in order to “[encourage] educators and learners around the world to incorporate the video courses and materials into their educational endeavors and to form virtual communities around the classes,” the University says.

The license under which the courses are being released is the Attribution-Noncommercial-Share Alike 3.0 Unported license. According to the University, this license stipulates that “original content [can] be the remixed, tweaked, and built into new non-commercial content as long as the original source is credited and the new creations are distributed under the identical terms.”

As noted, the courses are nearly identical to the ones offered to Stanford’s registered students. However, some content has been omitted in cases where a copyright holder’s consent could not be obtained for releasing the material under the Creative Commons license. There are also “a few other exceptions,” according to the University.

Jim Plummer, dean of the Stanford Engineering School, says the University is “excited to extend our teaching and learning opportunities worldwide through SEE. We hope SEE will enable a broad range of people to learn, to share their ideas and to make their own contributions to knowledge.”

For further information, visit the program’s landing page at Stanford Engineering Everywhere.

http://www.deviceguru.com/stanford-frees-cs-robotics-courses/

***

For the first time in its history, Stanford is offering some of its most popular engineering classes free of charge to students and educators around the world. Stanford Engineering Everywhere (SEE) expands the Stanford experience to students and educators online. A computer and an Internet connection are all you need. View lecture videos, access reading lists and other course handouts, take quizzes and tests, and communicate with other SEE students, all at your convenience.
SEE programming includes one of Stanford’s most popular sequences: the three-course Introduction to Computer Science taken by the majority of Stanford’s undergraduates and seven more advanced courses in artificial intelligence and electrical engineering.

Stanford Engineering Everywhere offers:

* Anytime and anywhere access to complete lecture videos via streaming or downloaded media.
* Full course materials including syllabi, handouts, homework, and exams.
* Online social networking with fellow SEE students.
* Support for PCs, Macs and mobile computing devices.

Stanford encourages fellow educators to use Stanford Engineering course materials in their own classrooms. A Creative Commons license allows for free and open use, reuse, adaptation and redistribution of Stanford Engineering Everywhere material.

Get Started

http://see.stanford.edu/

***
Courses

Gates Building of Computer Science

SEE programming includes one of Stanford’s most popular engineering sequences: the three-course Introduction to Computer Science taken by the majority of Stanford undergraduates, and seven more advanced courses in artificial intelligence and electrical engineering.
Introduction to Computer Science
Programming Methodology CS106A
Programming Abstractions CS106B
Programming Paradigms CS107

Artificial Intelligence
Introduction to Robotics CS223A
Natural Language Processing CS224N
Machine Learning CS229

Linear Systems and Optimization
The Fourier Transform and its Applications EE261
Introduction to Linear Dynamical Systems EE263
Convex Optimization I EE364A
Convex Optimization II EE364B

http://see.stanford.edu/SEE/Courses.aspx

***

Universities With the Best Free Online Courses

No tuition money? No problem! There are many top universities that offer free courses online. This list ranks several of the best free university courses available for people who want to enhance their personal knowledge or advance in their current field.

1. Massachusetts Institute of Technology (mit.edu)

If you are looking for a wide range of free courses offered online, MIT is your best option. More than 1,800 free courses are offered through the school’s OpenCourseWare project. Courses are in text, audio and video formats and translated into a number of different languages. Students all over the world use OpenCourseWare and 96 percent of visitors to this site say they would recommend it to someone else.

2. Open University (open.ac.uk)

The Open University is the UK’s largest academic institution. The school’s OpenLearn website gives everyone free access to both undergraduate and graduate-level course materials from The Open University. Courses cover a wide range of topics, such as the arts, history, business, education, IT and computing, mathematics and statistics, science, health and technology.

3. Carnegie Mellon University (cmu.edu)

Carnegie Mellon University offers a number of free online courses and materials through a program called Open Learning Initiative. OLI courses are intended to allow anyone at an introductory college level to learn about a particular subject without formal instruction. Course options include such offerings as statistics, biology, chemistry, economics, French and physics.

4. Tufts University (tufts.edu)

Like MIT, Tufts has OpenCourseWare that is available free to everyone. Courses are sorted by school (i.e. School of Arts and Sciences, School of Medicine, etc.) and include assignments, lecture notes and other supplementary materials.

5. Stanford (stanford.edu)

Stanford University, one of the world’s leading academic institutions, has joined forces with iTunes U in providing access to Stanford courses, lectures and interviews. These courses can be downloaded and played on iPods, PCs, and Macs and can also be burned to CDs. If you don’t have iTunes, you can download it here for free.

6. University of California, Berkeley (berkeley.edu)

UC Berkley, one of the best public universities in the nation, has been offering live and on-demand webcasts of certain courses since 2001. Hundreds of UC Berkley courses, both current and archived, are now available as podcasts and webcasts. Courses cover a range of subjects, including astronomy, biology, chemistry, computer programming, engineering, psychology, legal studies and philosophy.

7. Utah State University (usu.edu)

Utah State University also provides access to free online courses. Study options include everything from anthropology to physics and theatre arts. These comprehensive text-based courses can be downloaded as zip files or viewed directly on the site.

8. Kutztown University of Pennsylvania (kutztownsbdc.org)

Kutztown University’s Small Business Development Center offers the largest collection of free business courses available on the web. Course topics include accounting, finance, government, business law, marketing and sales. Comprehensive text, interactive case studies, slides, graphics and streaming audio help to demonstrate the concepts presented in each course.

9. University of Southern Queensland (usq.edu.au)

The University of Southern Queensland in Australia provides free online access to a number of different courses through yet another OpenCourseWare initiative. Courses from each of the five faculties are available, covering a broad range of topics, including communication, science, career planning, technology, teaching and multimedia creation.

10. University of California, Irvine (uci.edu)

UC Irvine, one of the nation’s top public universities, recently joined the OCW Consortium and began providing free university level courses online. Right now, there are only a handful of options to choose from, but this list is growing. Current courses cover topics like financial planning, human resources, capital markets and e-marketing. Course materials include syllabi, lecture notes, assignments and exams.

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http://education-portal.com/articles/Universities_with_the_Best_Free_Online_Courses.html

***

http://cheapbooks.com/

http://books.google.com/

***

http://mathworld.wolfram.com/FourierSeries.html

Look up, learn and understand any Mathematics principles, languages, ideas

***

[PDF]

An Introduction to Wave Equations and Solitons

File Format: PDF/Adobe Acrobat
Appendix B. Wave Equations as Continuum Limits of Lattice Models. 45. Appendix C

. The Pseudospectral Method: Solving Wave Equations Numerically 51 …
http://www.ma.utexas.edu/~uhlen/solitons/notes.pdf
***

***
IngentaConnect –
The home of scholarly research

Search
26,004,647 articles, chapters, reports and more…

Browse
32,068 publications

http://www.ingentaconnect.com/;jsessionid=696errciouf8k.alice

http://www.ingentaconnect.com/content/klu/care/2006/00000006/00000004/00009020

Derivation and Left Ventricular Pressure Phase Plane Based Validation of a Time Dependent Isometric Crossbridge Attachment Model

Authors: Zhang, Wei; Chung, Charles; Kovács, Sándor1

Source: Cardiovascular Engineering: An International Journal, Volume 6, Number 4, December 2006 , pp. 132-144(13)

Publisher: Springer
[Abstract]

(Pay as you go service for specific documents)

***

APS » PROLA » Phys. Rev. Lett. » Volume 30 » Issue 7
< Previous article | Next article >

Phys. Rev. Lett. 30, 264 – 267 (1973)

Rigorous Bounds for Time-Dependent Correlation Functions

Download: Page Images , PDF (683 kB), or Buy this Article (Use Article Pack) Export: BibTeX or EndNote (RIS)

Ole Platz * and Roy G. Gordon
Department of Chemistry, Harvard University, Cambridge, Massachusetts 02138

Received 8 December 1972

Rigorous upper and lower bounds are determined for time-dependent correlation functions, of the type used in statistical mechanics and spectroscopy. The input data are the values of any finite number of initial time derivatives of the correlation function. As an example, bounds are found for the classical velocity correlation function for a lattice vibration problem. The bounds are found to be much more accurate than the Taylor series based on the same time derivatives.

©1973 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.30.264
DOI: 10.1103/PhysRevLett.30.264

* Permanent address: Chemistry Department, University of Aarhus, Aarhus, Denmark.

[ Abstract |  Previous article |  Next article |  Issue 7 ]

Physical Review Online Archive (PROLA)
Physics – Spotlighting Exceptional Research


http://prola.aps.org/abstract/PRL/v30/i7/p264_1

***
***
http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html

Hyperphysics Portal for learning concepts and understanding principles, applications

***

http://www.foresight.org/

Nanotechnology

http://www.google.com/search?hl=en&rlz=1B3GGGL_enUS258US258&q=nanotechnology&start=20&sa=N

  1. The Nanobiotechnology Information Portal – index

    News, posters, events and suppliers from the main portal site for the field of Nanobiotechnology.
    www.nanotechnology.net/ – 31k – Cached – Similar pages

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

  3. Nanotechnology – Project on Emerging Nanotechnologies

    Dedicated to helping ensure that as nanotechnology advances, possible risks are minimized, public and consumer engagement remains strong, and potential new …

    Show map of 1300 Pennsylvania Ave NW, Washington, DC 20004

  4. A to Z Nanotechnology | Nanotechnology News, Articles, Directory …

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***

[PPT]

A Real-Time Numerical Integrator for the One-Dimensional Time …

File Format: Microsoft Powerpoint – View as HTML
A. Askar and A.S. Cakmak, Explicit Integration Method for the Time–Dependent Schrodinger. Equation for Collision Problems, J. Chem. Phys. (1978). …
http://www.math.hmc.edu/~depillis/MATH164/MATH164_StudentProjects_2004/CRIS_CECKA/Presentation.ppt –

Next: The Time-Dependent Schrödinger Equation Up: The Schrödinger Equation Previous: The Schrödinger Equation Contents

The Time-Independent Schrödinger Equation

Here we follow the treatment of McQuarrie [1], Section 3-1. We start with the one-dimensional classical wave equation,

\begin{displaymath} \frac{\partial^2u}{\partial x^2} = \frac{1}{v^2} \frac{\partial^2u}{\partial t^2} \end{displaymath} (10)

By introducing the separation of variables

\begin{displaymath} u(x,t) = \psi(x)f(t) \end{displaymath} (11)

we obtain

\begin{displaymath} f(t) \frac{d^2 \psi(x)}{dx^2} = \frac{1}{v^2} \psi(x) \frac{d^2f(t)}{dt^2} \end{displaymath} (12)

If we introduce one of the standard wave equation solutions for $f(t)$ such as $e^{i\omega t}$ (the constant can be taken care of later in the normalization), we obtain

\begin{displaymath} \frac{d^2\psi(x)}{dx^2} = \frac{-\omega^2}{v^2} \psi(x) \end{displaymath} (13)

Now we have an ordinary differential equation describing the spatial amplitude of the matter wave as a function of position. The energy of a particle is the sum of kinetic and potential parts

\begin{displaymath} E = \frac{p^2}{2m} + V(x) \end{displaymath} (14)

which can be solved for the momentum, $p$, to obtain

\begin{displaymath} p = \{ 2m [ E - V(x) ] \} ^{1/2} \end{displaymath} (15)

Now we can use the de Broglie formula (4) to get an expression for the wavelength

\begin{displaymath} \lambda = \frac{h}{p} = \frac{h}{\{ 2m [ E - V(x) ] \}^{1/2}} \end{displaymath} (16)

The term $\omega^2/v^2$ in equation (13) can be rewritten in terms of $\lambda$ if we recall that $\omega = 2 \pi \nu$ and $\nu \lambda = v$.

\begin{displaymath} \frac{\omega^2}{v^2} = \frac{4 \pi^2 \nu^2}{v^2} = \frac{4\pi^2}{\lambda^2} = \frac{2m[E - V(x)]}{\hbar^2} \end{displaymath} (17)

When this result is substituted into equation (13) we obtain the famous time-independent Schrödinger equation

\begin{displaymath} \frac{d^2\psi(x)}{dx^2} + \frac{2m}{\hbar^2} [ E - V(x)]\psi(x) = 0 \end{displaymath} (18)

which is almost always written in the form

\begin{displaymath} -\frac{\hbar^2}{2m} \frac{d^2\psi(x)}{dx^2} + V(x)\psi(x) = E\psi(x) \end{displaymath} (19)

This single-particle one-dimensional equation can easily be extended to the case of three dimensions, where it becomes

\begin{displaymath} -\frac{\hbar^2}{2m} \nabla^2\psi({\bf r}) + V({\bf r}) \psi({\bf r}) = E \psi({\bf r}) \end{displaymath} (20)

A two-body problem can also be treated by this equation if the mass $m$ is replaced with a reduced mass $\mu$.It is important to point out that this analogy with the classical wave equation only goes so far. We cannot, for instance, derive the time-dependent Schrödinger equation in an analogous fashion (for instance, that equation involves the partial first derivative with respect to time instead of the partial second derivative). In fact, Schrödinger presented his time-independent equation first, and then went back and postulated the more general time-dependent equation.

***

** My note –

This is the stuff that is fun. And, amazing to learn and apply and “twist” to fractals and other stuff. Yea, I am a little on the passionate side about learning. It is the best fruits of time and effort – representing the greatest wealth of all.

– cricketdiane, 03-12-09

***