The following outline was provided by Ed Gravely in a lecture at SEBTS.
I. Greeting & Thanksgiving (Ch.1)
II. Paul’s Apostolic Ministry (Ch. 1-7)
A. Paul’s Plan (Ch. 1-2)
B. The character of his ministry (Ch. 3-7)
III. The Collection for the Saints (Ch. 8-9)
IV. Paul Defends his Apostleship (Ch. 10-13)
V. Conclusion (Ch. 13)