ScratchProjects has posted a two-part series on cominging two powerful web technologies - PHP and Ajax - to create a simple, yet effective application, an RSS feed reader.
In part one of the series, they focus on the fundamentals - the "hows" of combining PHP and Ajax, introducting the code and its parts, then getting into the examples, showing how to make a simple call to the rss.php backend script to grab the RSS data and push it into a DIV on the page.
Part two jumps in with both feet, setting up the database you'll store the feed locations in before getting to the heart of the application. They create the form to add the feed to the database, make the functions to grab a list of the feeds from the database, and, finally, display the parsed results of those feeds on the page.
It's nothing fancy, but it does show the development of a simple application in two parts complete with the source code ready to be downloaded and adapted.