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I usually base the readings and homework on what we have been learning in class, so I just read over the parts concerning enthalpy, which I believe would be sections 4C-4E. We've just begun learning about bond enthalpies and standard enthalpies.
I usually read the sections that we just finish covering in lecture. I don't think there's a chronological order to the readings he lists on the syllabus, especially because we are covering thermochemistry before thermodynamics (but the textbook sections list in the opposite order).