MATH
4321 HOMEWORK
(Spring 2021)
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2021 teaching page
Book
= A First Course in Abstract Algebra, 7th
Ed, by J. B. Fraleigh, Addison-Wesley.
(Note: not the new
8th edition!!)
Homework will not be collected.
There might be more than one correct answer for any given question.
Dates indicate homework assigned in lecture on that date. Dates for future assignments are tentative, and subject to change. (However, it will be similar to the homework posted here.)
On some dates, the questions are in a nonincreasing order; that is the order recommended by your instructor and is usually chosen to match the order in which the material was presented in class.
Any optional exercises are for those students who wish to explore some of the ideas in more depth – those questions are NOT game for the tests.
Skimming through the main ideas in a section shortly before that section is covered in class should help you understand the lecture -- try it!
Recall
that our test dates are: Feb 9-15, Feb 16
Feb 25, Mar 11, Apr 13 &/or Apr
15, May 11.
LAST REVISION: 4/27/21.
Jan 19 |
Attendance
will be recorded, starting today. Watch (or possibly rewatch) the video for Jan 19 on Canvas Conference page. |
Jan 21 |
Read
lecture notes & also watch (or possibly rewatch) the video for
Jan 21 on Canvas Conference page. Do Sec 18 pgs 174/5: 1, 3, 5, 7, 9, 11. |
Jan 26 |
Read
lecture notes & Sec
18 & also watch (or possibly rewatch) the video for Jan 26 on
Canvas Conference page. |
Jan 28 |
Read
lecture notes & Sec 19 & also watch (or possibly rewatch)
the video for Jan 28 on Canvas Conference page. Watch
the video “Section 20” under Modules in Canvas and read Sec 20
up to pg 187.5 & |
Feb 02 |
Read
lecture notes & Sec 21 & also watch (or possibly rewatch)
the video for Feb 2 on Canvas Conference page. |
Feb 04 |
Read
lecture notes & Sec 22 &
also watch (or possibly rewatch) the video for Feb 4 on Canvas
Conference page. |
Feb 09 |
Read
lecture notes & pgs 209-213 & also watch (or possibly
rewatch) the video for Feb 9
on
Canvas Conference page. Test
1 will
be
|
Feb 11 |
Read
lecture notes & Sec 23 & also watch (or possibly rewatch)
the video for Feb 11
on
Canvas Conference page. |
Feb 16 |
Owing
to weather etc, Test 1 moved
to Feb 25.
Test
1 will be |
Feb 18 |
No lecture today per UTA instructions (to help conserve electricity). Test 1 will be on Thursday; see Canvas for an information sheet. |
Feb 23 |
No
lecture today – instructor ill. |
Feb 25 |
Test
1 today online during lecture time – due 3:20 pm; see
Canvas for an information sheet. |
Mar 02 |
Read
lecture notes & pgs 224.5-226 & also watch (or possibly
rewatch) the video for Mar 2 on Canvas Conference page. Look
over the solutions to Test 1 on Canvas; use password "math4321"
to open the file. |
Mar 04 |
Read
lecture notes & Sec 26 & also watch (or possibly rewatch)
the video for Mar 4 on Canvas Conference page. Test 2 will be 1 week from today; see Canvas for an information sheet. |
Mar 09 |
Read
lecture notes & pgs 245-7 & learn box on pg 248. Watch
(or possibly rewatch) the video for Mar 9
on
Canvas Conference page. Test 2 will be on Thursday in PKH 105; see Canvas for an information sheet. |
Mar 11 |
Test
2 today
in
PKH 105; see Canvas for an information sheet. |
Mar
16 |
SPRING
BREAK |
Mar 23 |
Read
lecture notes & pgs 265-9
&
watch
(or possibly rewatch) the video for Mar 23
on
Canvas Conference page. Look
over the solutions to Test 2
on
Canvas; use password "math4321" to open the file. |
Mar 25 |
Recall:
if F ≤ E are fields, and if α ∊ E is algebraic over F and n =
deg (α, F) , then our work in class today implies that {1, α ,
α2,
…., αn-1
}
is a basis for F(α) over F. |
Mar 30 |
Read
lecture notes & pgs 283-289,
especially the Tower Theorem, &
also
watch (or possibly rewatch) the video for Mar 30
on
Canvas Conference page. Optional exercise: compare Zorn's Lemma on page 289 with the ``version’’ of Zorn's Lemma in the episode of The Simpsons that aired on Sunday April 5, 2015; are there any mistakes in the ``version’’ in that episode? Warning: it is very important that you keep up with the homework at this point; there will be a lot of new concepts and you will need fluency with the terminology and notation. |
Apr 01 |
Read
lecture notes & Sec 33 & also
watch (or possibly rewatch) the video for April 1 on Canvas
Conference page. |
Apr 06 |
Read
lecture notes & Sec 48 & also
watch (or possibly rewatch) the video for April 6 on Canvas
Conference page. Test 3 will be next week on Tuesday and Thursday; see Canvas for an information sheet. |
Apr 08 |
Read
lecture notes & Sec 49 & also watch (or possibly rewatch)
the video for April 8 on Canvas Conference page. |
Apr 13 |
Test
3 (part 1)
today
in
PKH 105;
see Canvas for an information sheet. |
Apr 15 |
Test
3 (part 2)
today
in
PKH 105;
see Canvas for an information sheet. |
Apr 20 |
Read
lecture notes & Sec 50 & also watch (or possibly rewatch)
the video for April 20
on
Canvas Conference page. Look
over the solutions to Test 3 on Canvas; use password "math4321"
to open the file. |
Apr 22 |
Read
lecture notes & Sec 51
&
also watch (or possibly rewatch) the video for April 22
on
Canvas Conference page. |
Apr 27 |
Look
over today's handout;
this handout can also be found in Canvas under Modules and is
called “ April
27
"handout" “. |
Apr 29 |
Read
lecture notes & Sec 56
&
also watch (or possibly rewatch) the video for April 29
on
Canvas Conference page. Remember
to complete online the student
feedback survey by
11
pm Tuesday May 4
--
check your mymav e-mail for the link. |
May 04 |
We will spend today's lecture reviewing the course material & discussing any questions from students; no new homework. Remember
to complete online the student
feedback survey by
11
pm today (Tuesday May 4)
--
check your mymav e-mail for the link. Regular office hour times do not apply after today. See announcements in Canvas for times of office hours after today. |
May 11 |
FINAL TEST today, starting at 2:00 pm in PKH 105; see Canvas for an information sheet after April 28. |
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