Tentative Schedule 

Schedule will probably shift.

Check at least weekly (or in class) for changes.

 wk

 date

 Monday

 Wednesday

 Friday

 1

 3/31

  Chapter 12

  Chapter 13

  Chapters 13, 14

 2

 4/7

  Chapter  14

  Chapters 14, 15

  Chapter 15

 3

 4/14

  Chapter 16

  Chapter 17*

  Chapter 18*
 
start review

 4

 4/21

  review

  Exam Chs.12-18

  Chapter 19

 5

 4/28

  Chapter 20

  Chapter 20

  Chapters 20, 21

 6

 5/5

  Chapter 21

  Chapter 21

  Chapter 22

 7

 5/12

  Chapter 22

  Chapter 23

  pre Chapter 31

 8

 5/19

  Chapter 31

  CAPE, Chapter 31

   review

 9

 5/26

   Holiday

  spare

  Exam thru Ch. 31

 10

 6/2

  Chapter 32

  Chapter 32

  Chapter 32

* We will cover Chapters 17 and 18 lightly.


Homework is an important part of learning mathematics.

 Math 103B  Homework  (due in Wednesday lecture)          page up for schedule

Be sure to read Academic integrity handout        No late homework

**** Hand in only even numbered exercises. ****
Solutions to odd numbered exercises are in the text
.

  • Due 4/2: Ch.12: #2, 3 (what if 2 is replaced by 4?), 4, 5, 6 (need not be same n for each part), 7, 13
    End of assignment.

  • Due 4/9: Ch.13: #1, 4, 6, 10, 12, 16, 23, 26
    Ch.13: #46, 54
    Ch.14: #1, 3, 4(remark: every subring of Z is a principal ideal), 6(b), 8, 14 (see #12), 15, 17
    End of assignment.

  • Due 4/16: Ch.14 #18, 24, 25, 32(also: Prove I is an ideal. Is it prime?--why not or prove it is.)
    Ch.12-14 supp.: #2, 4, 6(do it for Z, the integers), 16

    Ch.15: #2, 10, 12, 19, 21, 40(Hint: suppose x != y but f(x) = f(y).  Let z = 1/(x-y) and look at f(z(x-y)).)

    End of assignment.

  • Due 4/23: Ch.16: #2, 3, 9, 11, 13, 14, 15, 20(see #19)
    Ch.17: #2, 5(a-c), 6, 32, 33
    Ch. 18: #2, 3, 5
    End of assignment.


    Exam Wed. 4/23 in class through Ch.18.         solutions
    Bring a blue book.
    You may have one sheet (8.5 by 11) of notes, BOTH sides.


  • Due 4/30: Ch.19: #2, 6, 9, 12(replace the reals by a general field F), 13, 24
    End of assignment.

  • Due 5/7: Ch.20: #1, 2, 3, 4, 7, 10, 14, 20, 32, 33
    End of assignment.

  • Due 5/14: Ch.21: 3, 6, 7(hand in: Replace Q with an arbitrary field F whose characteristic is NOT 2), 8, 11, 12(p.374 may give you ideas), 34, 35
    Ch.22: #1, 2

    End of assignment.

  • Due 5/21: Ch.22: # 4, 7, 8, 16, 21, 24
    Ch.23: #6, 7, 9, 16, 18

    End of assignment.

  • Due 5/30 -- Note Friday due date:
    Supp.Ex. p.397: #2, 3, 6, 22
    Ch.31: #4, 7, 8, 10

    End of assignment.


    Exam Fri. 5/30 in class covers material after Ch.18 and may include some earlier material on fields.     
    Bring a blue book.
    You may have two sheets (8.5 by 11) of notes, BOTH sides.

    Andy will have office hour Wed. 12-1 and a review at 6PM.


In the 10th week, I'll introduce Galois theory.  This is a pretty subject and I strongly urge you to come.  I'll attempt to present so that you need not read the text beforehand.  Hence it will only require 3 hours of your week.  It will be included on a final exam and I will give out some suggested problems.

  • Suggested problems: Ch.32: #3, 4, 5, 10, 16


 Final Exam covers all material, including basic Galois Theory.       Exam    Solutions
Bring a blue book.
You may have two sheets (8.5 by 11) of notes, BOTH sides.
The exam will be about twice as long as an hour exam, and should be similar except that it may not have true/false questions.