MATH 4000 (Azoff)  Spring 2012
Modern Algebra and Geometry I


This page was last updated on May 3.

Letter grades have been reported to the registrar and final exams are available for pickup. 
You may also email me at azoff@math.uga.edu for your exam score and other details concerning your performance in the course..

The median score on the final was 72%.

Contents

  • Course Objectives
  • Assignments
  • Exams
  • Course Syllabus
    •

    Course Objectives

    Introduction to modern abstract algebra, including
         applications to other areas of mathematics
         attention to discovery and presentation of sound mathematical arguments
         perspective on high school mathematics

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    Assignments

    #
    		 Due
    Read Section
    Prepare for Class Discussion
    Hand In 
    Grad/Bonus
    0
    		 W 11 Jan

    		Diagnostic Problem Sheet
    1
    		 F 20 Jan
    1.1
    		 3,4e,4f, 4i, 6,10,13 4chj,12,14,15,17 
    8,18,16*,19*
    2
    		 F 27 Jan
    1.2
    		 1d,2,5,8,11,14,15,19 1e,4,6,7,9,10,13,21
    12,16b
    3
    		 F 3 Feb
    1.3
    		 2g,5,9,11,14,18,19,20c,21d, 21e, 28 1,2bc,8,12,16,20gh,21c,27
     29,37,38**
    4
    		 F 10 Feb
    1.4
    		 1(Z_7,Z_8),2b,5,6a,6b,6c,6d,9,12,18,20 1(Z_9 only),2a,4,7,8,10
    13,19
    5
    		 M 20 Feb
    2.1
    		 2,5,9,10,12,13,14 3,4,6,7,8
    15,16
    6
    		 F 24 Feb
    2.2
    		 3,6bd,13,14 2,4,5,6ac
    6e,11c,16,17
    7
    		 F 2 Mar
    2.3
    		 2,3,6cd,8d,9bg,16,17 1,5,6ab,8acf,9ade,10,14,19
    13,21
    8***
    		 M 19 Mar
    2.4
    		 1af,9
    2,8,7,10
    2.5
    		 2,5,6,9a,13
    1,7,8,10,15,11,17
    9
    		 M 26 Mar
    3.1
    		 2ac,3a,8,10ace, 11,12,16,18,21 2de,3bc,4,5,6,7,10bdf,13,14,20
    9,15,19,23
    10
    		 W 4 Apr
    		 5.1
    		 1,7,10,11bdfh,13,14,15,17 3,4,5,8,11acei,12,18 9,16,19,20
    3.2
    		 1,6bd,7 4,6ac
    12,14
    11
    		 W 11 Apr
    		 3.3
    		 2bdfhj,3bd,6 2acegi,3ace,4,5 7,9
    12
    		 W 18 Apr
    4.1
    		 1,2,4cdg,6,9,12,15abc 3,4abef,5,7,8,10,11,14,20
    15de,16,19
    13
    		 F 27 Apr
    4.2
    		 1,2,3ace,5,7,8,9bd,22, 23 3bef,4,6,9ac,20
    10,11,21
    14
    5.2
    		 3,6,13,15 1,2,4,5,8,9,12,14
    7,10,11,18

    *Especially challenging problems.

    **A somewhat more leisurely handout on cryptography is available. 

    ***This material was not covered on the tests, but problems could be worked for bonus points.  Here are some suggestions:

    Graduate students are expected to work at least one bonus problem from each assignment.

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    Exams

    The final exam was held on Wednesday May 2 in Room 304.  The median score was 72%.
    A review session was held the preceding day.
    Notes to Assignments 13 and 14 were inserted at the beginning of the file Notes to homework assignments (link disabled at the end of the term).

    There were three hour exams during the term.

    The third hour test, focusing on Sections 3.1 through 4.1 and 5.1 of the text, was held on Monday April 23.  The median score was 65.
    Regarding Section 3.2, Descartes' rule of signs was mot covered and splitting fields were not emphasized.

    There was a review session on the evening before the test..

    The second hour test, covering through Section 2.3 of the text, was held on Friday March 9. The median score, including test corrections, was 73.

    The first hour test, covering Chapter 1 of the text, was held on Wednesday February 15.  The median score, including test corrections, was 72.

        Study Aids

    The comprehensive final exam is scheduled for 8 - 11 AM on Wednesday May 2.

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     MATH 4000/6000 (Azoff) 
    Modern Algebra and Geometry I 
    Course Syllabus for Spring 2012

    Web Page  http://www.math.uga.edu/~azoff/courses/4000.html 



    Call Numbers 34-576 for MATH 4000;   54-577 for MATH 6000



    Time & Place 10:10 - 11:00 MWF
    303 Boyd



    Prerequisites
    		 MATH 3200 (Introduction to Higher Mathematics)
    MATH 3000 (Introduction to Linear Algebra)



    Course
    Plan    		 Introduction to modern abstract algebra, including
         applications to other areas of mathematics
         attention to discovery and presentation of sound mathematical arguments
         perspective on high school mathematics



    Text  Abstract Algebra: a geometric approach ,  by Theodore Shifrin, Prentice Hall,  1996; ISBN#0133198316  
    We will cover Chapters 1 - 5 this semester.    Author's typographical corrections .
     

    Grading Homework 
    Hour Tests (3 @ 100 pts) 
    Comprehensive Final Exam
    100 points
    300 points
    200 points




    		Homework will be collected about once a week;  no late work will be accepted. 
    Graduate students must work at least one bonus problem on each assignment.
    The final exam is scheduled for 8 - 11 AM on Wednesday May 2.  It will be comprehensive.



    Instructor  E. Azoff
       e-mail 
       Phone 
       Office     		 azoff@math.uga.edu
    542-2608 
    443 Boyd 
      Tentative
      Office
      Hours    		 MWF:  1:30 - 2:30
    TuTh:    2:00 - 3:00 
    		except F 13 April

    Assignments for Chapter 1

    #
    		 Due
    Read Section
    Prepare for Class Discussion
    Hand In 
    Grad/Bonus
    0
    		 W 11 Jan

    		Diagnostic Problem Sheet
    1
    		 F 20 Jan
    1.1
    		 3,4efi,6,10,13 4chj,12,14,15,17 
    8,18,16*,19*
    2
    		 F 27 Jan
    1.2
    		 1d,2,5,8,11,14,15,19 1e,4,6,7,9,10,13,21
    12,16b
    3
    		 F 3 Feb
    1.3
    		 2g,5,9,11,14,18,19,20c,21cd,28 1,2bc,8,12,16,20gh,21c,27
     29,37,38**
    4
    		 F 10 Feb
    1.4
    		 1(Z_7,Z_8),2b,5,6,9,12,18 1(Z_9 only),2a,4,7,8,10
    13,19

    *Especially challenging problems.
    **A somewhat more leisurely handout on cryptography is available.
    Graduate students are expected to work at least one bonus problem from each assignment.

    Return to contents