minimum set of module/methonds in jquery code for selector

I am reading jquery code now. I found the following methods are suitable for cross platform programming. (desktop, web browser and mobile app)

$(selector)
$.ajax()     <----------I am not sure if this is veryuseful
$(selector).find()
$(selector).bind()
$(selector).unbind()
$(selector).delegate()
$(selector).remove()
$(selector).attr()
$(selector).html()<-----I am not sure if this is veryuseful

I mean that I prefer the javascript native code to process logic bussiness except some selector/dom function. This means that I even can use the same logic code in QT/QML.

Is there is minimum set of module/methonds for the methods above?

Your comment welcome