Welcome to this webpage!
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<a href="syllabus-MAS4105.html">Syllabus</a>
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<b>Homework assignments:</b><br>
<b><font color=red> Note that late HW is not accepted!</font></b><br><br>
<b><font color=green> Monthly HW assignments</font></b> (collected):<br>
HWI:1.3(23), 1.4 (14), 1.5 (17), 1.6 (27), 1.6(34) .<br>
HWII: 2.1 (35a, Hint: You are allowed to use the result of ex1.6#29a without solving that problem), 2.2(14), 2.4(17), 2.5 (7), 3.2 (14, Also: prove that the inclusion in part a is not strict by providing an example. Hint: Again use the result of ex1.6#29a).<br>
HWIII: 5.1(23. Note 1: you need to first solve 5.1 #22 which is a weekly HW problem. Note 2: If you solve this problem, you have just proved the Cayley-Hamilton theorem in the special case of a diagonalizable linear operator. In Sec 5.4, which we will skip, it is shown that this result remains valid if T is not diagonalizable.)
5.2 (13), 6.1(15), 6.2 (16), 6.3 (12) .<p>


<b><font color=green> Weekly HW assignments</font></b> (not collected):
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Wk 1 (ends Fr 1/11): prove Corollaries 1 and 2 (p11, 12) and study proof of Thm 1.2, 
1.2(1b/d/g/h,4b/c/f,10,12,14,15,18,22), 1.3(6,8,12,21,25,26,30).<p>

Wk 2 (ends Fr 1/18): 1.4 (11,12,13,15), 1.5(6,9,14,15,16,18,19) .<p>

Wk 3 (ends Fr 1/25): read+understand proof of Corollary 2 on p47, 1.6(2c,6,7,15,22,23,32) (<b>MLK Day Mon 1/21</b>).<p>

Wk 4 (ends Fr 2/1): 2.1 (6,9,15,24,28,read+understand proof of Theorem 2.6, p72 and the Corollary on p 73),  (<b><font color=green>HW I due on Wed 1/30</font></b>).<p>  

Wk 5 (ends Fr 2/8): 2.2(4,10,11,13) (<b><font color=red>Ex I on Fr 2/8; review on Wed 2/6</font></b>).<p>
  
Wk 6 (ends Fr 2/15): 2.3(3,4,10,11), reading assignments in section 2.3: proofs of Thm 2.10,2.12,2.15.<p>
  
Wk 7 (ends Fr 2/22): 2.4(2f,5,6,14,19,23).<p>

Wk 8 (ends Fr 3/1): , 2.5(2c,3b,9,10), 3.1(8,12), 3.2(5f/g,6d,17, 18,19,20).<p>  

Wk 9 (ends Fr 3/8): (<b>Spring Break</b>).<p>

Wk 10 (ends Fr 3/15):  3.3(2c/d,3c/d 5,6,7d,9)(<b><font color=green>HW II due on Wed 3/13</font></b>).<p>

Wk 11 (ends Fr 3/22): 4.1(2b,3c),4.2(5,9,18),5.1(2b/c) (<b><font color=red>Ex II on Fr 3/22; review on Wed 3/20</font></b>).<p>

Wk 12 (ends Fr 3/29):5.1(3b,4a/e,8,11,15,20,21,22).<p>

Wk 13 (ends Fr 4/5): reading: proofs of lemma and theorem 5.8 on p. 267, 5.2 (2b/e,3d,8,11,12), 6.1(8b,11,12).<p> 

Wk 14 (ends Fr 4/12):6.1(13,17,18,19,24d,26), 6.2(2g/i,6,15,19) <p>

Wk 15 (ends Fr 4/19): 6.3(2c,8,10,11,21).<p>

Wk 16 (ends Fr 4/26): (<b><font color=red> Review on Tue 4/23</font></b>, <b><font color=red>Ex III on Wed 4/24</font></b>) (<b><font color=green>HW III due on Wed 4/24</font></b>)

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<b>Announcements:</b><br>
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<li>Practice exams: <a href="exam1.pdf">I</a>,<a href="exam2.pdf">II</a>,<a href="exam3.pdf">III</a>.

<li>Exam II covers everything we did in class in sections 3.3,4.1,4.2,5.1,5.2,6.1,6.2,6.3.


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