MATH 5331 HOMEWORK
(Spring 2016)
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2016 teaching page
Book =
Abstract Algebra, by D. S. Dummit & R. M. Foote, 3rd
Ed.,
Wiley
A
list of known errata
for this book
is posted here.
Note
that there might be more than one correct answer/solution for any
given question.
LAST REVISION: 5/04/16
Dates
indicate homework assigned in lecture that day. Dates
for future assignments are tentative, and subject to change.
Skimming
through the main ideas in a section shortly before that section is
covered in class should help you understand the lecture -- try it!
|
01/19/16 |
Attendance
will be recorded, starting today. |
|
01/21/16 |
Read
lecture notes & pgs 23-27 & do pg 28: 14, 16. |
|
01/26/16 |
Read
lecture notes & pgs 41-44 & do pgs 44-45: 2, 4, 6, 16,
17. |
|
01/28/16 |
Read
lecture notes & pgs 46-48 & do pgs 48-49: 1(a)(e), 2(d),
10, 11(a)(c), 15, & do H2. |
|
02/02/16 |
Read
lecture notes & 2nd half of pg 59 & do pgs
60-61: 2, 3, 11, 12, 13(a), 16. |
|
02/04/16 |
Read
Section 2.5 (pgs 66-71) & pgs 75-85 & do pgs 85-89: 6, 7,
10, 4, 3, 20, 22(a) & H3
& |
|
02/09/16 |
Read pgs
89-95 & do pgs 95-96: 1, 6, 5, 4, 12 (hint: consider gh ↦ ?
), 16 (hint: see Corollary 9 in book). |
|
02/11/16 |
Test
1 today;
see link to information sheet on Feb 4 above. |
|
02/16/16 |
Read pgs
106-111 & do H4
& do pg 111: 2, 10. |
|
02/18/16 |
Read pgs 223-228 & do pgs 230-233: 1, 11, 14(c), 28, 29, 30(a), 5(c), 6(c), 7, 9. |
|
02/23/16 |
Read pgs 233-237 & do pgs 237-239: 1, 3(b)(c), & do H5 & pg 239: 9-12. Optional: do pg 238: 4. |
|
02/25/16 |
Read pgs
239-244 & pgs 246-247 & do pgs 247-251: 6, 7, 16, 32,
10(a)(b)(f), 18, 22, 34(a)(b) ( for the last question, |
|
03/01/16 |
Read pgs
251-256 & do H7
& pgs 256-260: 8, 16(b), 4, 6 (hint: be sure to show that any
inverse is both a left inverse & a right inverse), |
|
03/03/16 |
Read pgs
260-264 (note the error on pg 263 in the Definition – see
errata)
& do pgs 264-265: 4 & H10. |
|
03/08/16 |
Test
2 today;
see link to information sheet on Mar 1 above. |
|
03/10/16 |
Go
over the solutions
to Test 2; use password ``math5331'' to access the file. |
|
03/15/16 & 03/17/16 |
SPRING BREAK |
|
03/22/16 |
Read pgs
337, 339, 342-343. Do pg 343: 1 & do H14-H17
& pgs 343-4: 3, 5-7, 9, & H18
& pgs 344-345: 10, 20, 18. |
|
03/24/16 |
Read pgs 345-349. Do pg 350: 1, 7 & do H19, H20 & read pgs 351-355 & do pg 356: 4, 8, 11 & H21 & H22. |
|
03/29/16 |
No new homework. |
|
03/31/16 |
No new homework. |
|
04/05/16 |
Read pgs
112, 114-115 & do pgs 116-117: 1, 6(a). |
|
04/07/16 |
Read pgs
122-125. Do
pgs 130-132: 25, 10(a), 6, 13. |
|
04/12/16 |
Do
pgs 137-138: 2, 7, 15. |
|
04/14/16 |
Test
3 today;
see link to information sheet on April 7 above. |
|
04/19/16 |
Go
over the solutions
to Test 3; use password ``math5331'' to access the file. |
|
04/21/16 |
Read pgs 152-154 if not already done so & pg 158. |
|
04/26/16 |
Read pgs 158-165 & do pgs 165-166: 1(a)-(c), 2(a)-(d), 3(a)-(d), 4(a),(b), & do H23, H24 & do pg 198: 8. |
|
04/28/16 |
No new
homework. |
|
05/03/16 |
Read
pgs 193-195 & Theorem 11 on pg 196 & do
H25,
H26. |
|
05/05/16 |
No new
homework. |
05/07/16 |
Approx 3:30-5:00 pm: office hours in PKH 462. |
05/09/16 |
Approx 3:30-5:00 pm: office hours in PKH 462. |
05/10/16 |
Approx 3:00-4:15 pm: office hours in PKH 462. FINAL TEST today, starting at 5:30 pm; see the information sheet. |
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