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Prof. Erin McNicholas Office: Ford 211
emcnicho@willamette.edu
(503)370-6590
Office Hours:
Tue 9-10am (Bistro)
Tue 1-2:30pm (Office)
Wed 4-5pm (Office)
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"In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigor. But at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired." - Michael Atiyah |
Homework: https://wise.willamette.edu/access/content/group/MATH-457-01-16_SP/Math456Homework
Required Course Materials:
Useful and Fun Websites:
Class Objectives:
"Abstraction consists essentially in the creation and utilization of ambiguity. Logic moves in one direction, the direction of clarity, coherence, and structure. Ambiguity moves in the other direction, that of fluidity, openness, and release. Mathematics moves back and forth between these two poles. It is the interaction between these different aspects that gives mathematics its power." -William Byers
In this course, you will delve further into the abstract realm of Groups, Rings, and Fields. In particular you will examine extension fields, Galois Theory, Sylow Theorems, Representation Theory, and a host of other topics. You will continue to develop your mathematical maturity and independence by asking good questions and identifying underlying abstract patterns. You will hone your stellar proof-writing skills, and strengthen your mathematical presentation skills. Your grade will be based on your level of achievement in each of the following student learning outcomes:
Tentative Schedule
