MATH 484
Galois Theory
Spring 2020
Division III
Quantitative/Formal Reasoning
This is not the current course catalog
Class Details
Some equations–such as x^5 – 1 = 0–are easy to solve. Others–such as x^5 – x – 1 = 0–are very hard, if not impossible (using standard mathematical operations). Galois discovered a deep connection between field theory and group theory that led to a criterion for checking whether or not a given polynomial can be easily solved. His discovery also led to many other breakthroughs, for example proving the impossibility of squaring the circle or trisecting a typical angle using compass and straightedge. From these not-so-humble beginnings, Galois theory has become a fundamental concept in modern mathematics, from topology to number theory. In this course we will develop the theory and explore its applications to other areas of math.
The Class:
Format: lecture
Limit: 15
Expected: 10
Class#: 3550
Grading: no pass/fail option, yes fifth course option
Limit: 15
Expected: 10
Class#: 3550
Grading: no pass/fail option, yes fifth course option
Requirements/Evaluation:
written homeworks, oral presentations, and exams
Prerequisites:
MATH 355
Enrollment Preferences:
discretion of the instructor
Unit Notes:
this course is not a senior seminar, so it does not fulfill the senior seminar requirement for the Math major
Distributions:
Division III
Quantitative/Formal Reasoning
Class Grid
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MATH 484 - 01 (S) LEC Galois Theory
MATH 484 - 01 (S) LEC Galois TheoryDivision III Quantitative/Formal ReasoningTF 2:35 pm - 3:50 pm
Stetson Court Classroom 1093550
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