Q:

The correct usage of the phrasal verb "mean for"

Many of the notes are meant for readers with some formal
  training in mathematics or physics.

I was wondering is this the correct usage of the phrasal verb "mean for", as my dictionary shows that it must be followed by a "to do" part:

mean for somebody to do something

A:

That usage is perfectly correct. It means that many of the notes are thought to be used from readers with some formal training in mathematics or physics. 
The OALD reports that usage under "have a purpose," "mean something for somebody/something."

The chair was clearly meant for a child.

The example sentence means the chair was thought to be used from a child, not an adult.

