Abstract Algebra 2
Fields, Galois theory, solvability of polynomials by radicals
Students should achieve mastery of the topics listed in the minimal learning outcomes on the Math 372 Wiki page. This means that they should know all relevant definitions, correct statements of the major theorems (including their hypotheses and limitations), and examples and non-examples of the various concepts. The students should be able to demonstrate their mastery by solving non-trivial problems related to these concepts, and by proving simple (but non-trivial) theorems about the below concepts, related to, but not identical to, statements proven by the text or instructor.