(Last modified: Tuesday, August 24, 2004, 11:35 AM )

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

Monday | Wednesday | Friday | |||

8/30 | 9/1 | Welcome and Introduction | 9/3 | Ch. 0: Preliminaries | |

Ch. 0: Preliminaries | Ch. 1: Motions on the | ||||

Square | |||||

9/6 | Labor Day | 9/8 | Ch. 2: Cayley Table, D_{4}, D_{n} |
9/10 | Ch. 2: Defining a group |

Lottery to adopt groups | |||||

PS 1 (Individual) Due | Quiz 1 | ||||

9/13 | Ch. 2: General Properties | 9/15 | Ch. 3: Order, Subgroups | 9/17 | Subgroup tests |

of groups | Informal discussion of your gp | ||||

Short paper on gp due | |||||

PS 2 (Group) due | (verify it is a group) | ||||

9/20 | Ch. 3: Cyclic subgps, center | 9/22 | Ch. 3: More on subgroups | 9/24 | Ch. 4: Generators, |

centralizer, subgroup | Ch. 4: Intro to cyclic groups | Fund. Thm of Cyclic Gps | |||

lattice | PS 3 (Individual) due | Quiz 2 | |||

9/27 | Ch. 4: Proof of FTCG | 9/29 | Ch. 5: Permutation Groups | 10/1 | Ch. 5: Decomposing |

PS 4 (Group) due | permutations | ||||

10/4 | Ch. 5: Alternating Groups | 10/6 | Ch. 6: Define isomorphism, | 10/8 | Ch. 6: Properties of |

examples | isomorphisms | ||||

Receive Take-Home Ex 1 | Turn in Take-Home Ex 1 | ||||

10/11 | Fall Break | 10/13 | Ch. 6: Automorphisms | 10/15 | Ch. 7: Define cosets, |

Properties of cosets | |||||

PS 5 (Individual) due | |||||

10/18 | Ch. 7: Properties of cosets | 10/20 | Ch. 7: LaGrange's Theorem | 10/22 | Ch. 7: Consequences of |

LaGrange's Theorem | |||||

Informal discussion of your gp | |||||

Short paper on gp due | |||||

PS 6 (Group) due | (Interesting/confusing aspects) | ||||

10/25 | Ch. 7: Consequences of | 10/27 | Ch. 7: Orbit-Stabilizer Thm | 10/29 | Ch. 8: External Dir. Products |

LaGrange's Theorem; | Ch. 8: External Dir. Products | Factor Groups (Definitions) | |||

orbits, stabilizers | PS 7 (Individual) due | Quiz 3 | |||

11/1 | Ch. 8: External Dir. Products | 11/3 | Ch. 9: Test for Normality | 11/5 | Ch. 9: Work with normal |

Ch. 9: Define Normal Subgp | subgroups | ||||

Receive Take-Home Ex2 | Turn in Take Home Ex 2 | ||||

11/8 | Ch. 9: Define Factor Groups | 11/10 | Ch. 9: Factor Groups | 11/12 | Ch. 9: More on factor groups |

PS 8 (Group) due | |||||

11/15 | Peer Review of 1st | 11/17 | Ch. 27: Symmetry and | 11/19 | Ch. 27: Define symmetry |

draft of paper on | Isometries | groups | |||

your adopted group | PS 9 (Individual) due | Quiz 4 | |||

11/22 | Ch. 27: Which groups are | 11/24 | Thanksgiving Break | 11/26 | Thanksgiving Break |

symmetry groups? | |||||

2nd draft due (to me) | |||||

11/29 | Ch. 27: Rotation group of | 12/1 | Ch. 28: The 7 frieze groups | 12/3 | Ch. 28: The crystallographic |

cube; finite rotation | groups | ||||

groups in R^{3} |
PS 10 (Group) due | ||||

12/6 | Informal discussion of your | 12/8 | Ch. 28: conclusion | 12/10 | Ch. 29: Symmetry & Counting |

groups | Ch. 29: Symmetry & Counting | Hand out Final | |||

Final draft due | PS 11 due | Quiz 5 | |||

12/13 | Ch. 29: Symmetry & Counting | 12/15 | 12/17 | ||

The Final will be due at 2:30pm on Friday 12/17. |

Department of Mathematics and Computer Science

Science Center, Room 109

Norton, Massachusetts 02766-0930

TEL (508) 286-3973

FAX (508) 285-8278

jsklensk@wheatonma.edu