01/20/15

Read course syllabus carefully. Make a note of the test dates in your calendar. Review course website and 
repeat frequently during the semester. Consider adopting one or more of the suggested study techniques linked 
at the course website.
Read lecture notes & do Sec 18 pgs 174/5: 1, 3, 5, 7, 9, 11.

01/22/15

Read lecture notes, pages 167-174 & do Sec 18 pgs 175/6: 14, 16, 19, 20, 31, 38,
46 (hint: think binomial theorem from Math 1302; or see here), 22, 27, 23, 40.

01/27/15

Read lecture notes & do Sec 19 pgs 182/3: 14, 23, 24, 28.
By this time, you have seen quite a few theorems. It is best NOT to memorize
the theorems, but to do enough of the homework that the results of the theorems
become known to you, though perhaps with different wording or using pictures.

01/29/15

Read lecture notes & Sec 19 & do Sec 19 pgs 182/3: 5-12, 27, 29.
Read lecture notes & Sec 20 up to pg 187.5 & do Sec 20 pgs 189/90: 1-3, 5, 24, 23a-h (justify answers).

02/03/15

Read lecture notes & Sec 21 & do Sec 21 pgs 196-7: 1, 2, 7, 8, 12, 14.

02/05/15

Read lecture notes & Sec 22 & do Sec 22 pgs 207-8: 1-6, 22, 25, 7, 8, 14, 20.

02/10/15

Read lecture notes & pgs 209-213 & do Sec 23 pgs 218-220: 2, 4, 35, 36, 9, 10.
The   Quiz   will be one week from today & will cover Sections 18-22; see the information sheet.

02/12/15

Read lecture notes & pgs 209-213 & do Sec 23 pgs 218-220: 34, 14, 16, 18, 6, 27, 28.

02/17/15

Quiz  today; see Feb 10 above for details.
Read lecture notes & pgs 224.5-226 & do Sec 24 pgs 226-7: 14, 5, 4, 6, 10.  
Look over quiz and its solutions to study for Test 1; use password   "math4321"  to open the file.

Test 1   will be a week from today; it will cover Sections 18-24; see the information sheet.

02/19/15

Read lecture notes & Sec 26 & do Sec 26 pgs 243-5: 29, 2, 17, 37, 4, 12-14, 18.

02/24/15

Owing to UTA being closed today, Test 1 has been moved to Thursday Feb 26; see Feb 17 above for details on the test.

02/26/15

Test 1  today; see Feb 17 above for details. 
Read lecture notes & Sec 26 & do Sec 26 pgs 243-5: 24, 38(a)(b), 22(a)(c), 25, 26, 32.

03/03/15

Look over Test 1 and its solutions; use password   "math4321"  to open the file.
Read pgs 245-7 & lecture notes & do Sec 27 pgs 252-4: 1 (max ideals only), 2 (max ideals only), 34, 35, 37.

03/05/15

UTA closed today owing to inclement weather.

03/10/15 
and
03/12/15

SPRING BREAK
Go over the Quiz and Test 1 and read over all lecture notes from start of semester until now.   
Next test on Tues Mar 24.

03/17/15

Learn box on pg 248. Read lecture notes, this file & Sec 27 & do 
Sec 27 Pgs 252-4: 1, 2, 24, 14(a)(b)(f), 31, 5, 6, 30.

Test 2   will be one week from today; it will cover through Sec 27; see the information sheet.

03/19/15

Read lecture notes & pgs 265-9 & do Sec 29 pgs 272-4: 1, 2, 4, 6(Hint: E. Criterion), 11, 12, 14.

03/24/15

Test 2   today; see Mar 17 above for details.
Read lecture notes, this file & Sec 29.

03/26/15

Look over Test 2 and its solutions; use password   "math4321"  to open the file.
Do Sec 29 pg 272-4: 21, 27, 13, 15, 18, 30, 31.
Read Sec 30 as we will spend little time on it in lecture.

03/31/15

Read lecture notes & Sec 30 & do Sec 30 pgs 280-2: 15(a)-(d) (justify), 25 (note: "transformation" = "map"), 1, 2, 4, 6, 7, 19.
Mark your calendars: there will be a talk on prime numbers on April 30 that I think y'all will enjoy -- details here.

04/02/15

Read lecture notes, this file & pgs 283-289 & do 
Sec 31 pgs 291-3: 1-3, 5, 7, 9, 11, 13, 19(a)-(c), 22, 28, 29, 35 (hint: show that the squaring function is not one-to-one nor onto).
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 need fluency with the terminology and notation.

04/07/15

Read lecture notes, this file & Sec 33 & do Sec 33 pgs 304-5: 8(a),(g)(justify), 11, 1, 8(c)(justify), 4. (Hint: for #4: there are many
ways to do this question. You could read the statement of Thm 33.10 and either use Euler's φ function (why?), or you could write 
down a generic field with 9 elements using an element α for the generator of the cyclic group of nonzero elements in the field 
and work with the nonzero elements of the field as powers of α (we did something like this 2nd method today in class with the 
example drawn from Sec 29 #18.)

Watch the TED talk on symmetry and algebra, if you have not done so already.

Test 3   will be one week from today; it will cover through Sec 33; see the information sheet.

04/09/15

Read lecture notes, this file & Sec 48 & do Sec 48 pgs 422-4: 1-3, 7-11, 13, 25.

04/14/15

Test 3   today; see April 7 above for details.

04/16/15

Look over Test 3 and its solutions; use password   "math4321"  to open the file. 
Read lecture notes & Sec 48 & do Sec 48 pgs 422-4: 26, 15-21, 36(a),(b).

04/21/15

Read lecture notes & Sec 49 & do Sec 49 pgs 430-1: 1-3, 7, 8(b)(d)(e) (justify), 13.
Read lecture notes & Sec 50 & do Sec 50 pgs 434-6: 1-5, 14(a)-(e),(j) (justify), 18, 21.

04/23/15

Read lecture notes, this file & Sec 51 & do Sec 51 pgs 442-4: 7, 15, 8(a)-(g)(justify), 1-4, 9 ( hint: use E = F(α, β) ), 13.

04/28/15

Look over today's handout.
Read lecture notes & Sec 53 & do Sec 53 pgs 454-6: 1, 2, 11(a)(b), 13, 3, 4, 8, 11, 15(a)-(c),(e),(g) (justify).
Read Sec 56.

04/30/15

No lecture today. No office hours today.
Instead, there is a talk today on prime numbers in Nedderman Hall, Room 100, 5:00 pm -- details here.

05/05/15

We will spend today's lecture finishing up loose ends and reviewing the course material; no new homework. 
Complete online the student feedback survey by 11 pm on Fri May 8 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., projector vs whiteboard? quality of website?); thank you!

05/07/15

No new homework; today's lecture will be a chance for you to ask questions.
Complete online the student feedback survey by 11 pm on Fri May 8 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., projector vs whiteboard? quality of website?); thank you!

05/12/15

FINAL TEST  today, starting at 5:30 pm; see the information sheet.