Uli Walther
Math 746, 494-1959
walther@math.purdue.edu
teaching Math 453 Fall 2012
MWF 9:30-10:20, UNIV119
Office hours: Mon 11:30-12:30, Wed 1:30-2:30.

Grader's email: ??? AT math DOT purdue DOT edu
Book: Contemporary Abstract Algeba by J. Gallian (Edition 7).

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Link to Project Rhea

  • The syllabus

    • Statement for students with disabilities

    The Midterm

    Day and time: Wed Oct 3, in the evening. (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 Wednesday in class or in my office by 2:30.)
    Week 1-Aug 22: nothing due.
    Week 2-Aug 29 (In[tro]duction, 0): Ch 0: 27, 26, 7, 14, 23, 21
    Week 3-Sep 5 (Groups, 1+5): Ch 1: 6, 13. Ch 5: 6,8, 19, 43.
    Week 4-Sep 12 (Sub-, cyclic, solvable groups, 3+4+32): Ch3: 4,10,11,46,48. Ch4: 9,19,63
    Week 5-Sep 19 (Cosets, 6+7): Ch6: 7,24,37(hint: R_90 in D_4). Ch7: 7,10. Question 1 from file
    Week 6-Sep 26 (Morphisms, 9+10): Ch9: 7,11. Ch10: 7 (only first sentence),24,31,32. Question 2 from file
    Week 7-Oct 3 (Products, 8): Ch8: 2,8,32,38,41,58, Question 3 from file.
    ---> Midterm on Oct 3
    Week 8-Oct 10 Nothing due.
    ---> Fall break Oct 8
    Week 9-Oct 17 (Rings, 12+13): Ch12: 2,20. Ch13: 5,6,10,30.(Hint: identify the group structure. Then wonder what this says about multiplication.)
    Week 10-Oct 24 (Ideals, 14+15): Ch13: 45,58. Ch14: 6,28. Ch15: 35,60.
    Week 11-Oct 31 (Division, 16): Ch16: 12,13,16,24,34,36,51.
    Week 12-Nov 7 (UFD's, 17+18): Ch17: 4,6,7,10,21. Question 4 from file
    Week 13-Nov 14 (Fields, 20): Ch20: 1,29,31,5,19,21,25.
    ---> Thanksgiving Nov 22
    Week 14-Nov 28 (Fields, 21): Ch21: 8,14,16,24,33,30.
    Week 15-Dec 5 (Finite fields, 22)Ch22: 1,2,8,14,34, Question 5 from file.

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

    Challenge problems:

    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