Johan van Benthem, A Brief History of Natural Logic.
For the first lecture, here is some text.
Many of the results in the second lecture may be found in Logics for the Relational Syllogistic by Ian Pratt-Hartmann and LM. I also have some text material that I can send out if you are interested.
For our last unit (monotonicity), here is Thomas Icard and LM, Recent Progress on Monotonicity.