(Instructor's choice; usually Galois Theory) Math 115.
The Mathematics Department also offers, at the undergraduate level, courses which may include algebraic topics along with others: Problem Solving (H90), Experimental Courses (191), a Special Topics course (195), and several courses of directed and independent individual and group work (196-199).
Some students do not see this as important, but once you write the outline the rest will be a breeze. The first time, check for contextual or clarity issues.
Finally, you will be ready to write your college Algebra paper. The second, keep an eye out for spelling and grammar errors. While you may not understand the reasoning behind your research project, you will still have to get it done.