Uli Walther
Math 746, 494-1959
walther@math.purdue.edu
teaching Math 453 Fall 2013
TTh 10:30-11:45, EE 005
Office hours: Tue 1:30-2:30, Th 12:30-1:00.

Book: Contemporary Abstract Algeba by J. Gallian, Edition 8

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Link to Project Rhea

  • The syllabus

    • will appear tonight.

    Statement for students with disabilities

    The Midterm

    Day and time: Thursday October 3 in class. (This is week 7; the midterm will cover all material we discuss from the part on "groups".)

    The Final

    Cumulative, but with emphasis on the second half of the semester.
    10:30-12:30, Th Dec 12, EE170

    Homework assignments due

    (Due every Thursday 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: 29, 28, 7, 12, 19, 31
    Week 3-Sep 05 (Groups, 1+5): Ch 1: 6, 13. Ch 5: 8, 10, 23, 61
    Week 4-Sep 12 (Sub-, cyclic, solvable groups, 3+4+32): Ch3: 4,20,54,56,15. Ch4: 9,19
    Week 5-Sep 19 (Cosets, 6+7): Ch6: 7,22,42. Ch7: 7,12. Question 1 from file
    Week 6-Sep 26 (Morphisms, 9+10): Ch9: 9,27. Ch10: 7,24,31,32. Question 2 from file
    Week 7-Oct 03 (Products, 8): Ch8: 2,8,30,38,41,62, Question 3 from file.
    ---> Midterm on Oct 3
    Week 8-Oct 10 October break. Nothing due.
    Week 9-Oct 17 (Rings, 12+13): Ch12: 2,20. Ch13: 5,6,12,32.
    Week 10-Oct 24 (Ideals, 14+15): Ch13: 45,57. Ch14: 6,26. Ch15: 33,44,30.
    Week 11-Oct 31 (Division, 16): Ch16: 13,15,18(hint: look at Exercise 3),23,34,38,59.
    Week 12-Nov 7(UFD's, 17+18): Ch17: 4,8,9,12,23. Question 4 from file
    Week 13-Nov 14 (Fields, 20): Ch20: 1,29,31,5,19,21,25.
    Week 15-Nov 21 (Fields, 21): Ch21: 8,14,16,24,33,30.
    Week 14-Nov 28 (Thanksgiving): Nothing due.
    Week 16-Dec 3 (Finite fields, 22) Ch22: 1,2,4,10,12,32.
    Recommended exercises on Ch23 (Geometry, 23) Ch23: 13,14,16,18.and Question 2 from file.

    Extra credit

    Ch4:  61.
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 when -1, 2 or -2 have square roots modulo p.)

    Homework Solutions

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