Symmetries & Polynomials
course notes
JHU
algebra
A two-week intersession course taking non-math majors from group theory to the unsolvability of the quintic.
\[ \sqrt[3]{-\frac{q}{2}+\sqrt{\frac{q^{2}}{4}+\frac{p^{3}}{27}}} +\sqrt[3]{-\frac{q}{2}-\sqrt{\frac{q^{2}}{4}+\frac{p^{3}}{27}}} \]
A two-week class from Intersession 2018 at JHU introducing non-math majors to group theory and its connection to the roots of polynomials, in particular the unsolvability of the quintic.
The class is designed in an IBL format. The prerequisites are basic proof techniques.