Instructor: Prof. Mohamed Omar

Email: [lastname] at hmc dot edu

Office: TLB 2418

Office hours: TBA, TLB 2418, or by appointment.

Class meetings: Tues/Thurs 9:35 am - 10:50 am

Class webpage: http://www.math.hmc.edu/~omar/math171/

The required text for this course is ``Abstract Algebra'' by Dummit and Foote, 3rd Edition. Readings and homework will be regularly assigned from this book.

Exam Dates:

Midterm 1: Feb 25 (75 minute, in-class)

Midterm 2: Apr 8 (75 minute, in-class)

Final: Available May 1st. 5-hour take home exam. Due: May 9th, 5:00pm for seniors. May 12th, 2:00pm for everyone else.

Date | Topic | Class Lecture |

Jan 21 | Intro to Groups | Intro to Groups Notes |

Jan 23 | Group Arithmetic | Group Arithmetic Notes |

Jan 28 | Subgroups, Dihedral Groups | Subgroups/Dihedral Groups Notes |

Jan 30 | Dihedral Groups | Dihedral Handout |

Feb 4 | Symmetric Groups | Symmetric Groups |

Feb 6 | Group Homomorphisms and Isomorphisms | Homomorphisms |

Feb 11 | More on Homomorphisms, Cyclic Groups | Homomorphisms and Cyclic Groups |

Feb 13 | More on Cyclic Groups, Cosets and Lagrange's Theorem | Cyclic Groups, Cosets and Lagrange's Theorem |

Feb 18 | More on Lagrange's Theorem, Normal Subgroups | More Lagrange's Theorem, Normal Subgroups |

Feb 20 | Quotient Groups/First Isomorphism Theorem | Quotient Groups/Isomorphism Theorems |

Feb 27 | Isomorphism Theorems/Intro to Group Actions | Isomorphism Theorems/Group Actions |

Mar 4 | Group Actions | Group Actions |

Mar 6 | Conjugacy and the Class Equation | Class Equation |

Mar 11 | Class Equation (Cauchy's Theorem)/Intro to Sylow Theorem | Class Equation/Cauchy's Theorem/Intro to Sylow |

Mar 13 | Proof of Sylow Theorem | Proof of Sylow Theorem |

Mar 25 | Intro to Rings | Intro to Rings |

Mar 27 | Types of Rings/Special Rings | Types of Rings/Special Rings |

Apr 1 | Ring Homomorphisms | Ring Homomorphisms |

Apr 3 | Quotient Rings | Quotient Rings |

Apr 10 | Ring Isomorphism Theorems | Ring Isomorphism Theorems |

Apr 15 | Types of Ideals | Types of Ideals |

Apr 17 | Euclidean Domains | Euclidean Domains |

Apr 22 | Principal Ideal Domains | Principal Ideal Domains |

Apr 24 | Unique Factorization Domains | Unique Factorization Domains |

Apr 29 | PID => UFD | PID/UFD |

Assignment 1 (.tex) Assignment 2

Assignment 2 (.tex) Assignment 3

Assignment 3 (.tex) Assignment 4

Assignment 4 (.tex) Assignment 5

Assignment 5 (.tex) Assignment 6

Assignment 6 (.tex)

Identification Digit Check

Benzene Ring Assignment 7

Assignment 7 (.tex) Assignment 8

Assignment 8 (.tex) Assignment 9

Assignment 9 (.tex) Assignment 10

Assignment 10 (.tex) Assignment 11

Assignment 11 (.tex)