Reddit mentions of Understanding English Grammar (10th Edition)

Ok here are a few ideas.

I would suggest this Yale course on Literary Theory as a good introduction from the humanities angle.

The major focus of literary analysis these days usually seems to be some variant of "close reading"

For a general overview of linguistics the wiki page is pretty decent. Martin Hilpert's Introductory Linguistics and Congnitive Linguistics courses on youtube are pretty good.

I don't know how much or what type of grammar is covered in an English degree but I would pick up a book on syntax such as:

Carnie - Syntax

A more traditional take:

Traditional Diagramming

Alerternatively, you can find a free book on Syntax here

Being able to parse a sentence into it's constituent pieces is useful for analysis. After that, major fields to look into are:

• Semiotics
  
• Cognitive Linguistics
  
• Stylistics
  
• Rhetoric
  
  Some books and resources that fall under these catagories in general (I haven't read all of these):
  
  
• Metaphors We Live By
  
• Stylistics: A Resource Book for Students
  
• Exploring the Language of Poems, Plays and Prose
  
• Rhetorical Style
  
• Silva Rhetoricae
  
• Rhetoric Timeline
  
• Recommended Rhetoric Resources
  
• Figures of Speech
  
• Literal and Figurative Language
  
  And because we are learning about English, here is a cheesy documentary that's actually pretty decent.
  
  EDIT: Here is the reddit Linguistics wiki for reference.