Fall 2007

Contemporary Abstract Algebra, Sixth Editionby Joseph A. Gallian Published by Houghton Mifflin Company |

Office: 207 Kemeny Hall

E-mail: martin arkowitz@dartmouth.edu

Thursdays 1:30pm - 3pm

and by appointment.

Time: MWF, 12:30 - 1:35

X-hour: Tues, 1:00 - 1:50

Grades will be calculated as follows:

homework: | 15% |

takehome midterm: | 32% |

quiz: | 8% |

takehome final: | 45% |

You are to individually write up your homework solutions by yourself, but you are encouraged to work with other people or to seek help on the homework.

Assignment 2 (due Wednesday, October 10): Read Chapter 3, Chapter 4 (up to Corollary, bottom p. 80), Chapter 5 (up to Example 6), Do pp. 67--70: 4, 8, 15, 29, 31, 49; pp. 82--84: 9, 18, 19, 29, 42; pp. 111--114: 3ae, 4b, 9ce, 24, 25.

Assignment 3 (due Wednesday, October 17): Read Chapter 6 (up to and including Theorem 6.4), Chapter 7 (up to Lagrange's Theorem p. 140), Do pp. 114: 26, 28, 36, 41, 45; pp. 132--134: 1--4, 5 (sketch proof), 10, 24, 25, 33, 36.

Assignment 4 (due Wednesday, October 24): Read Chapter 7 (up to Theorem 7.2), Chapter 8 (up to Theorem 8.2). Do pp. 148 -- 150: 1, 2, 7, 12, 15, 25, 26, 36; pp. 165 -- 166: 2, 4, 5, 13, 15, 20.

Assignment 5 (due Monday, October 29): Read Chapter 9 (up to Theorem 9.3), Chapter 10 (up to Example 14), Chapter 12. Do pp. 191 -- 193: 7, 8, 10, 19, 24, 40; pp. 210 -- 212: 3, 7, 16, 18, 21, 31.

MONDAY, OCTOBER 29: TAKE HOME MIDTERM WILL BE HANDED OUT IN CLASS.

Assignment 6 (due Monday, November 12): Read Chapter 13, Chapter 14. Do pp. 240 -- 242: 9, 15, 17, 22, 26; pp. 254 -- 256: 5, 10, 13, 16, 20, 41.

TUESDAY, NOVEMBER 13: IN CLASS QUIZ DURING X-HOUR.

Assigment 7 (due Tuesday, November 20 at noon): Read Chapter 15 (up to Cor. 1, p. 283), Chapter 16, Chapter 17 (pp. 303 -- 304, middle p. 309 -- 311). Do pp. 268 -- 270: 2, 6, 17, 25, 34; pp. 286 -- 287: 7, 12, 21, 28, 30; pp. 299 -- 300: 13, 19, 20, 23, 31.

Assigment 8 (due Friday, November 30): Read Chapter 18, pp. 326 -- 329 (up to Euclidean Domains), Chapter 19, Chapter 20, pp. 352 -- 354 (up to Splitting Fields), pp. 357 -- 359 (from Theorem 20.3 up to Lemma p. 359), Chapter 21, pp. 369 -- 374. Do pp. 347 -- 348: 3, 5, 8, 11, 18; pp. 365 -- 366: 2, 7, 8, 10, 14, 17, 20, 29.

FRIDAY, NOVEMBER 30: TAKE HOME FINAL EXAM WILL BE HANDED OUT IN CLASS.