Free E-Learning Courses

This is a collection of free online college courses from the Indian Institute of Technology — Delhi.

http://nptel.iitm.ac.in/courses.php

There are a wide range science and technology courses represented here:  Electronics, Mechanics, Information Systems, as well as several Mathematics courses.

There is a mixed-bag of resources available here:  many of the Basic Courses have a full curriculum of lecture videos, while some of the more advanced courses currently offer only on-line syllabi.

Another nice resource for students and teachers!

Wikipedia Mathematics Portal

Like most every other internet user, I often end up at Wikipedia.org for one reason or another.  Yet I never realized that Wikipedia offers Portals for various categories, like Mathematics:

http://en.wikipedia.org/wiki/Portal:Mathematics

In addition to functioning as a doorway to the vast amount of mathematics available in wikipedia, the portal also offers up selected articles from the archives, a collection of clickable fun facts, and a Picture of the Month.

Applications of Government Data

This is a nice resource from The Guardian that highlights some of the ways developers are making government data accessible to citizens.

http://goo.gl/00jmo

The projects include housing price analysis, roadway usage, government spending, and aggregation of community information.

The site wheredoesmymoneygo.org is especially interesting:  slide the bar to your yearly income, and see just how much of your salary is spent on education, health services, defense, and other categories.

Lots of applications to play around with, and plenty of food for thought!

Fundamental Examples

Here is another nice crowd-sourced resource from MathOverflow.net:  a list of fundamental examples in mathematics.

http://mathoverflow.net/questions/4994/fundamental-examples

From the premise that a single example can often shape an entire mathematical discipline, a list of such examples is generated.

The list includes examples like the harmonic series in Real and Complex Analysis; the Brachistochrone problem in Physics; the Gaussian integers in Algebra; the Platonic solids in Geometry; and the Seven Bridges of Konigsberg in Graph Theory.

This is a great resource that provides accessible entry points to a lot of advanced mathematics!

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