(Last modified: Wednesday, October 22, 2008, 2:47 PM )

This syllabus is, of course, tentative! | |||||

Monday | Wednesday | Friday | |||

8/25 | 8/27 | Welcome and Introduction | 8/29 | Ch.1: Symmetries of a Square | |

Ch. 1: Symmetries of a Square | Ch.0: Facts about Integrers | ||||

9/1 | Labor Day | 9/3 | Ch.0: Preliminaries | 9/5 | Ch. 2: Defining a group, |

Adopt groups | Examples of groups | ||||

PS 1 (Group) Due | |||||

9/8 | Ch. 2: Examples of Groups, | 9/10 | Ch. 2: Properties of | 9/12 | Ch. 3: Subgroups |

Groups | Rewrite of PS 1 due | ||||

Ch. 3: Order of a Group | Discussion of adopted groups | ||||

Short paper on gp due | |||||

Ch0&1 defs and thms due | PS 2 (Individual) due | (verify it is a group) | |||

9/15 | Ch. 3: Subgroup Tests | 9/17 | Ch. 3: Centers, Centralizers | 9/19 | Ch.4: Intro to Cyclic Groups |

Classifying all groups of order 4 | |||||

Ch.2 def'ns and thms due | PS 3 (Group) due | Rewrite of PS 2 due | |||

9/22 | Ch. 4: Fund. Thm of Cyclic Gps | 9/24 | Ch. 4: More on the FToCG | 9/26 | Ch. 5: Permutation Groups |

Ch. 3 def'ns and thms due | What the FToCG does for us! | ||||

Hand out Take-Home Ex 1 | Turn in Take-Home Ex 1 | ||||

9/29 | Ch. 5: Even & Odd Permutations | 10/1 | Ch. 5: Working with Symmetric Groups | 10/3 | Ch. 6: Define Isomorphisms |

Alternating groups | Ch. 6: Intro to isomorphisms | Examples of isomorphisms | |||

Ch. 4 def'ns and thms due | PS 4 (Group) due | Rewrite of PS 3 due | |||

10/6 | Ch. 6: Properties of Isomorphisms | 10/8 | Ch. 6: Automorphisms | 10/10 | Ch. 7: Define cosets |

Rewrite of PS 4 due | |||||

Ch. 5 def'ns and thms due | PS 5 (Individual) due | Deadline-1st adopted group mtg | |||

10/13 | Fall Break | 10/15 | Ch. 7: LaGrange's Theorem | 10/17 | Ch. 7: Consequences of |

LaGrange's Theorem; | |||||

Discussion of your gp | |||||

Short paper on group due | |||||

Ch. 6 def'ns and thms due | (Interesting/confusing aspects) | ||||

10/20 | Ch. 7: Consequences of | 10/22 | Ch. 8: External Dir. Products | 10/24 | Ch. 9: Define Normal Subgp |

LaGrange's Theorem; | |||||

Ch.7 def'ns and thms due | PS 6 (Group) due | Rewrite of PS 5 due | |||

10/27 | Ch. 9: Test for Normality | 10/29 | Ch. 9: Define Factor | 10/31 | Ch. 9: Work with Factor |

Groups | Groups | ||||

Ch.8 defs & thms due | |||||

Hand out Take-Home Ex2 | Turn in Take Home Ex 2 | ||||

11/3 | Ch. 9: Factor groups | 11/5 | Ch.10: Intro to Homomorphisms | 11/7 | Ch. 10: More properties of |

A few properties; kernels | Homomorphisms | ||||

Rewrite of PS 6 due | |||||

Ch.9 def'ns & thms (pt 1) | PS 7 (Group) due | Deadline-2nd adopted group mtg | |||

11/10 | Ch. 10: Kernels & The first | 11/12 | Peer Review of Papers | 11/14 | Ch. 11: Examples using the |

isomorphism Thm | Ch. 10: Using the 1st | Fundamental Thm | |||

Ch. 11: Fund. Thm of Abelian Gps | Isomorphism Theorem | ||||

Ch.9 (pt 2), Ch.10 defn's & thms | |||||

1st draft of project due (to peer) | PS 8 (Individual) due | 2nd draft due (to me) | |||

11/17 | Ch. 11: Fundamental | 11/19 | Ch. 12: Rings, more on the | 11/21 | Ch.13: Integral Domains |

Thm of Abelian Groups | rules of multiplication | ||||

Ch. 12: Intro to Rings | |||||

Ch. 11 defs & thms due | |||||

Rewrite of PS 7 due | PS 9 (Group) due | Rewrite of PS 8 due | |||

11/24 | Ch. 14: Ideals | 11/26 | Thanksgiving Break | 11/28 | Thanksgiving Break |

Final Draft due | |||||

12/1 | Ch.14: More on Ideals | 12/3 | Ch. 14: Ideals & Factor Rings | 12/5 | Ch. 14: More on Factor Rings |

Ch. 15: Maximal and Prime Ideals | |||||

Ch.12, 13, 14 defs & thms due | PS 10 (Individual or Group) due | ||||

Paper exchange! | Rewrite of PS 9 due | Hand out Final | |||

The Final will be due at 4:00pm on Friday 12/12. | |||||

This year's Norman W. Johnson lecture is Thursay October 2, at 5:30pm. |

Department of Mathematics and Computer Science

Science Center, Room 101A

Norton, Massachusetts 02766-0930

TEL (508) 286-3973

FAX (508) 285-8278

jsklensk@wheatonma.edu