This course introduces students to the basic algebraic structures which underlie all of modern mathematics. We begin with groups and group homomorphisms and then study the ring of integers and the fields formed by various kinds of numbers. It is highly recommended for all students thinking of going to graduate school in a mathematics related discipline. Now Fall only. Reexamines algebra from a historical perspective.
Students write an extended project.
This is the most accessible of the 300 level algebra classes and is highly recommended to students in the teacher preparation program. This is an introductory course in analysis, required for math majors. It provides a closer and more rigorous look at material which most students encountered on an informal level during their first two semesters of Calculus. There are two motivations to doing this. One is simply to gain an understanding of what a mathematical proof is about, and how the tools of calculus, such as real numbers, limits and derivatives, are really constructed and justified.