Uli Walther
Math 746, 494-1959
walther@math.purdue.edu
teaching Math 453 Spring 2011
TTh 9:00-10:15, REC121
Office hours: Tue 2:30-3:00, Th 1:30-2:30.

Grader's email: cho41 AT math DOT purdue DOT edu
Book: Contemporary Abstract Algeba by J. Gallian (Editions 6 and 7 are fine, but be careful with the homework numbering!)

It has been reported that AOL and IE have trouble with this page, for reasons only Bill Gates can fully appreciate. Please try firefox or mozilla and run linux whenever you can.

Link to Project Rhea

  • The syllabus

    • Statement for students with disabilities

    The Midterm

    Day and time: Th Feb 24, in class. (This is week 7; the midterm will cover all material we discuss from the part on "groups".)
    Midterm solutions
    You can bring HW solutions and your notes. No textbooks, instant messaging, or outside consultants.

    The Final

    Day and time: ??.
    The location is: ??.

    Homework assignments due

    (Due every Thursday in class or in my office by 3:30.)
    These are the numbers for edition 6. The numbers for edition 7 are here.
    Week 1-Jan 13: nothing due.
    Week 2-Jan 20 (In[tro]duction, 0): Ch 0: 25, 24, 7, 14, 19, 21
    Week 3-Jan 27 (Groups, 1+5): Ch 1: 6, 13. Ch 5: 6,8, 19, 43.
    Week 4-Feb 3 (Sub-, cyclic, solvable groups, 3+4+32): Ch3: 4,8,9,38,40. Ch4: 9,19,61
    Week 5-Feb 10 (Cosets, 6+7): Ch6: 7,22,35(hint: R_90 in D_4). Ch7: 7,10. Question 1 from file
    Week 6-Feb 17 (Morphisms, 9+10): Ch9: 7,11. Ch10: 7,24,31,32. Question 2 from file
    Week 7-Feb 24 (Products, 8): Ch8: 2,8,28,34,37,52, Question 3 from file.
    ---> Midterm on Feb 24
    Week 8-Mar 3 Nothing due.
    Week 9-Mar 10 (Rings, 12+13): Ch12: 2,20. Ch13: 5,6,10,28.(Hint: identify the group structure. Then wonder what this says about multiplication.)
    ---> Spring break Mar 17
    Week 10-Mar 24 (Ideals, 14+15): Ch13: 41,54. Ch14: 6,26. Ch15: 33,54.
    Week 11-Mar 31 (Division, 16): Ch16: 12,13,16,22,32,34,49.
    Week 12-Apr 7 (UFD's, 17+18): Ch17: 4,6,7,10,21. Question 4 from file
    Week 13-Apr 14 (Fields, 20): Ch20: 1,29,31,5,19,21,25.
    Week 14-Apr 21 (Fields, 21): Ch21: 8,14,16,24,33,30.
    Week 16-Apr 28 (Finite fields, 22)Ch22: 1,2,4,10,30, Question 5 from file.

    Recommended exercises on Ch23 (Geometry, 23) Ch23: 13,14,16,18.and Question 2 from file.

    Extra credit

    Ch4:  51.
Ch17: 29.(Hint: x^4+1 = (x^2+i)(x^2-i) 
                      = (x^2-sqrt(-2)x-1)(x^2+sqrt(-2)x-1)
                      = (x^2-sqrt(2)x+1)(x^2+sqrt(2)x+1). 
          Find out under what circumstances -1, 2 or -2 have square roots modulo p.)

    Homework Solutions

    Return to main Page

    Comments to walther@math.purdue.edu