将PHP / MySQL请求转换为jQuery AJAX请求

I am kicking myself in the arse here because i can't for the life of me figure it out...this is supposed to be a quick and dirty project, but, I decided i want to try something new, and I have little to no experience with the AJAX methods in jQuery...I spent quite literally 5 days trying to learn and understand how to appropriately implement the AJAX calls, but to know avail...I learned some basic stuff, but not what i need to execute the code below.I am kicking myself in the arse here because i