01/17/17

Attendance will be recorded, starting today.
Read course syllabus carefully. Make a note of the test dates in your calendar. Review course website and 
repeat frequently during the semester. 
Read  https://vancliff.utasites.cloud/T/S09/1426study.pdf   and
https://www.jeffreybennett.com/pdf/How_to_Succeed_general.pdf for ideas on how to study most effectively. 
Read pgs 1-3 & do pg 4: 1, 5.
Read pgs 4-7 & do pgs 7-8: 1(a), 7.
Read pgs 8-11 & do pgs 11-12: 3, 9, 15(a).
Read lecture notes & pgs 16-21 & do pgs 21-23: 6(a)-(c), 8, 9, 12, 22, 25-27, 29, 30 (hint: consider division algorithm on pg 4 of book).
Do H1.

01/19/17

Read lecture notes & pgs 23-27 & do pg 28: 14, 16.
Read lecture notes & pgs 29-32 & do pgs 32-33: 1, 4(a).
Read lecture notes & pg 34 & do pg 35: 2, 3, 10, 11(a)(b).
Read pg 36 & do pg 36: 1.
Read lecture notes & pgs 36-39 & do pgs 39-41: 1, 13, 14, 15, 18, 20, 26.

01/24/17

Read lecture notes & pgs 41-44 & do pgs 44-45: 2, 4, 6, 16, 17.
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 so that the results of the theorems become known to you,
though perhaps with different wording or using pictures.

01/26/17

Read lecture notes & pgs 46-48 & do pgs 48-49: 1(a)(e), 2(d), 10, 11(a)(c), 15, & do H2.
Read pgs 51-52 & do pgs 52-53: 2, 3, 10, 11, 12(a)-(c).

01/31/17

Read lecture notes & 2^nd half of pg 59 & do pgs 60-61: 2, 3, 11, 12, 13(a), 16.
Read pg 64 & pgs 908-909 & do pgs 65-66: 1, 5, 6, 14(a)(b), 17.

02/02/17

Read Section 2.5 (pgs 66-71) & pgs 75-76 & do pgs 85-89: 6, 7, 10.

02/07/17

Read pgs 75-85 & do pgs 85-89: 4, 3, 20, 22(a) & H3 & pgs 85-89: 33, 36, 37, 40, 41.

02/09/17

Read pgs 89-95 & do pgs 95-96: 1, 6, 5, 4, 12 (hint: consider gh ↦ ? ), 16 (hint: see Corollary 9 in book).

Test 1 is one week from today; see the information sheet for the test.

02/14/17

Read pgs 97-100 & do pg 101: 8. Read pgs 102-105 & do pg 106: 1, 7.
Test 1 on Thursday; see link to information sheet on Feb 9 above.

02/16/17

Read pgs 106-111 & do H4 & do pg 111: 2, 10.

Test 1 today; see link to information sheet on Feb 9 above.

02/21/17

Go over the solutions to Test 1; use password ``math5331'' to access the file.
Read pgs 223-228 & do pgs 230-233: 1, 11, 14(c), 28, 29, 30(a).

02/23/17

Read pgs 223-228 & do pgs 230-233: 5(c), 6(c), 7, 9.
Read pgs 233-235 & do pgs 237-239: 1, 3(b)(c).

02/28/17

Read pgs 233-237 & do H5 & pg 239: 9-12. Optional: do pg 238: 4.

03/02/17

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, note the definitions on pg 247 – in particular, IJ = { ∑ i_kj_k : where the sum is a finite sum & i_k ∈ I & j_k ∈ J ∀ k } );
also do H6.

03/07/17

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),
32(a), 37, 38 (hint: use #37), 5, 9, & H8 & H9.

03/09/17

Read pgs 260-264 (note the error on pg 263 in the Definition – see errata) & do pgs 264-265: 4  & H10,
H11, H12 (optional) & H13 (optional).
Test 2 will be 2 weeks from today; see Mar 14-16 for details.

03/14/17 
and
03/16/17

SPRING BREAK
Go over Test 1 and read over all lecture notes from start of semester until now. 
Watch this TED talk on symmetry and algebra.  
Test 2 is on Thurs Mar 23; see the information sheet.

03/21/17

Read remark on pg 279. Do pg 282: 3 & pg 292: 1, 6(a).
Read pgs 295-298 & Theorem 3 on pg 299 (Division Algorithm for F[x], where F is a field).
Do pgs 298-299: 1(a)(b), 2(a)(b), 6, 15, H14 & pg 301: 6(a)(b)(c)   &   pg 306: 4(d)   &   pgs 311-312: 7, 11.
Hint: although some of these questions are in sections not covered in class, they can be done using the
material covered in class.
Test 2 on Thursday; see Mar 14-16 above for details.

03/23/17

Test 2  today; see Mar 14-16 above for details.
Read pgs 337, 339, 342-343.  Do pg 343: 1  & do H15.

03/28/17

Go over the solutions to Test 2; use password ``math5331'' to access the file.
Read pgs 337, 339, 342-343.   Do H16-H18 & pgs 343-4: 3, 5-7, 9,   & H19 & pgs 344-345: 10, 20, 18.
Optional: 13 & 22 on pgs 344-345.

03/30/17

Read pgs 345-349.   Do pg 350: 1, 7   & do H20, H21 & read pgs 351-355 & do pg 356: 4, 8, 11 & H22 & H23.

04/04/17

Read pgs 112, 114-115 & do pgs 116-117: 1, 6(a).
Read pgs 118-120 & do pgs  121-122: 1(a), 14, 8 (hint: do not assume |G| finite, but
consider G acting on the left cosets of H in G).

04/06/17

Read pgs 122-125.   Do pgs 130-132: 25 (hint: uses Math 5333), 10(a)[hint: see Prop 10 on pg 125], 6, 13.

04/11/17

Do pgs 137-138: 2, 7, 15.

04/13/17

Read pgs 142-146   & do pgs 146-147: 13-16, 18, 19, 30.   Optional: 17 on pg 147.
Read pgs 152-154.
Test 3 is one week from today; see the information sheet for the test.

04/18/17

Read pgs 152-154, if not already done so.
Read pgs 158-165  & do pgs 165-166: 1(a)-(c), 2(a)-(d), 3(a)-(d), 4(a),(b).
Test 3 on Thursday; see link to information sheet on April 13 above.

04/20/17

Test 3 today; see link to information sheet for April 13 above.

04/25/17

Go over the solutions to Test 3; use password ``math5331'' to access the file.
Read pgs 158-165  & do   H24, H25   &   do pg 198: 8.

04/27/17

Read pgs 193-195 & Theorem 11 on pg 196   &   do   H26, H27.

05/02/17

No new homework.
Complete online the student feedback survey by 11 pm on Fri May 5 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., projector vs whiteboard? quality of website? examples provided in lecture?); thank you!

05/04/17

No new homework.
Complete online the student feedback survey by 11 pm on Fri May 5 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., projector vs whiteboard? quality of website? examples provided in lecture?); thank you!

05/08/17
3:15 PM

Office hour today from 4:45 pm until 6:30 pm in PKH 462.
This is time Dr V is planning to be in her office for students to drop by to ask questions.

05/09/17

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