# Survey of Modern Algebra

There is no textbook. All lecture notes will be posted right here.
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Item | Date | Information |
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Homework 1 Solutions | Fri Jan 30 |
Course Notes Algebra pre- and post-1930 al-Khwarizmi and his al-jabr The Quadratic Formula Rings and Fields Descartes' Factor Theorem Newton's Method |

Homework 2 Solutions | Fri Feb 13 |
Course Notes Equality of Polynomials The Depressed Cubic Cardano's Formula The Cubic Formula Bombelli's Idea Complex Numbers De Moivre's Formula |

Exam 1 Review Notes Solutions |
Wed Feb 18 |
Total: 25 points A = 21 and above B = 17 and above C = 10 and above |

Homework 3 Solutions | Fri Feb 27 |
Course Notes Euler's Formula Polar Form Roots of Unity Factoring x^n-1 over C and R |

Homework 4 Solutions | Fri Mar 20 |
Course Notes Primitive Roots of Unity Factoring x^n-1 over Z Cyclotomic Polynomials Compass and Straightedge Constructible Numbers |

Exam 2 Review Notes Solutions |
Wed Mar 25 |
Total: 25 points A = 23 and above B = 21 and above C = 8 and above |

Homework 5 Solutions | Fri Apr 10 |
Course Notes Impossible Constructions Euler's Totient Function Fermat Primes Gauss-Wantzel Theorem |

Homework 6 Solutions | Wed Apr 22 |
Course Notes Solvability of Polynomials Abel-Ruffini Theorem Symmetric Functions Lagrange's Method Along Came Galois |

Exam 3 Review Notes |
Fri Apr 24 | In Class |