The 2nd Quiz on Feb 12th will focus on Sec 7.3-7.4 (trigonometric substitutions and partial fractions), but materials before that, especially Sec 7.1-7.2 (integration by parts and trigonometric integrals) will be required as well.
A sample quiz is here: quiz2mock.
And the solution is here: quiz2mockans.
The real quiz 2 with solution is here: quiz2sol.
The 1st Quiz on Jan 22nd will cover Sections 5.1-5.5 in the book, based on lectures 1-5 (up to Jan 17th).
A sample quiz is here: quiz1mock, and the full solution with extra notes is here: quiz1mockans.