Last update: 18-Nov-09
SH 274/Computer Lab SH 272
Same hours for both:
Mon -
Thurs 10:00 - 5:30
Fri 10:00 - 3:00
Sat 11:00 - 2:00
Test 1 Tuesday, September 15:
Sections 1.1, 1.2, 2.1, 2.2
Study the lecture notes, WebWorK problems and Pactice Problems (below)
Test 2 Thursday, October 8:
Sections 2.3, 3.1, 3.2, 10.1
Test 3 Tuesday, November 3:
Sections 10.2, 10.4, 10.5, 10.7, 11.3, 11.4, 11.7 Parts 1 and 2
Information Sheet for Math 103
Lecture Notes Part II
(Spiral-bound copies now available in the bookstore)
Textbook:
Abstract
Algebra, 3rd Ed., David S. Dummit and Richard M. Foote,
Wiley,
2004, ISBN 978-0-471-43334-7
Information Sheet for Math 460
Exam #2:
Tuesday, October 13
Sections:
2.2, 2.3, 2.4, 2.5, 3.1
Exam #3:
Tuesday, November 3
Sections:
3.2, 3.3, 4.3, 4.5, 5.1, 5.2
Practice problems from 4.3: 10, 11ac, 13, 27 (don't have to turn in)
Homework:
Due
Tuesday, Sep 01:
Section
1.1: 1b, 1d, 8, 9, 14, 23, 25
Due
Tuesday, Sep 08:
Section
1.2: 2, 3, 9
Section
1.3: 2, 5, 9, 14
Due
Tuesday, Sep 15:
Section 1.6: 2, 17, 20, 23
Due
Tuesday, Sep 22:
Section 1.7: 4a, 12
(with n=6), 16
Section 2.1: 1b,e, 2,b 6, 13
Due Tuesday, Sep 29:
Section 2.2: 3, 6b, 7
Section 2.3: 3, 12b, 13b, 18,
23
Due Tuesday, Oct 6:
Section 2.4: 6, 11, 13, 15
Section 2.5: 9b
Problem not in the book
Draw the lattice of the
subgroups of (Z/24Z)^(times), multiplicative group of invertible elements mod
24.
Due Tuesday, Oct 13:
Section 3.1: 1, 6, 9, 22, 36
Due Tuesday, Oct 20
Section 3.2: 1, 4
Section 3.3: 3
Due Tuesday, Oct 27
Section 4.5: 7, 13, 22, 30
Due Tuesday, Nov 3
Section 5.2: 1ac, 4ab, and
Let G be a finite group with the property that g^2=1 for all g in G.
Prove that G is isomorphic to Z_2 x Z_2 x ... x Z_2.
Due Tuesday, Nov 10
Section 7.1: 5, 11, 13b, 24
Section 7.2: 7, 8, 9
Due Tuesday, Nov 17
Section 7.3: 10a,d,e, 12a, 18a, 24a, 29
Section 7.4: 8, 14c,d, 15, 27
Due Tuesday, Nov 24
Section 8.1: 1a, 2c, 3, 9, 10
Prove that the ideal
generated by 5 and 1+2sqrt(-6)
is not a principal ideal in
the quadratic ring Z[sqrt(-6)].